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UEH UNIVERSITY COLLEGE OF BUSINESS SCHOOL OF INTERNATIONAL BUSINESS AND MARKETING MANAGEMENT SCIENCE INDIVIDUAL PROJECT Subject: Management Science Class ID: 21C1BUS50304001 Lecturer: Ph.D Ha Quang An Full Name: Nguyen Phuoc Loc Student ID: 31201025486 Class: IBC04 Major: International Business MARK LECTURER’S COMMENT Question 1: ………… ………………………………………………… Question 2: ………… ………………………………………………… Question 3: ………… Sum: ……………… ………………………………………………… ………………………………………………… LECTURER’S SIGNATURE (Full Name and Signature) Ha Quang An MANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problem MANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problem TABLE OF CONTENT Linear Programming Question a Question b Question c Question d Question e Question f Decision Making Forecasting 10 Question a 10 Question b 10 Question c 10 Question d 11 MANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problem MANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problem Linear Programming a Formulate a linear programming model and write down the mathematical model for this problem Decision variables are number of hours assigned to each consultant for respective project xij = Number of hours consultant i is assigned to project j i = A,B,C,D,E,F (Consultants) j = 1,2,3,4,5,6,7,8 (Projects) Objective is to maximize utilization of consultant skills and meeting clients’ needs based on ratings This can be accomplished by maximizing the product of the number of hours assigned and the ratings Since higher ratings are better, maximize the objective F Maximize Z = ∑ ∑ R x (x ij ) i− A j=1 Where Z is the ratings adjusted hours and R is the rating provided Subject to constraints: Hours availability: Consultant A: ∑ x Aj < 450 j=1 Consultant B: ∑ x Bj < 600 j=1 Consultant C: ∑ x Cj < 500 j=1 Consultant D: ∑ x Dj < 300 j=1 Consultant E: ∑ x Ej < 710 j=1 MANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problem MANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problem Consultant F: ∑ x Fj < 860 j=1 Project hours: F Project 1: ∑ xi = 500 i= A F Project 2: ∑ xi = 240 i= A F Project 3: ∑ xi = 400 i= A F Project 4: ∑ xi = 400 i= A F Project 5: ∑ xi = 350 i= A F Project 6: ∑ xi = 460 i= A F Project 7: ∑ xi = 290 i= A F Project 8: ∑ xi = 200 i= A Budget constraint: F Project 1: ∑ xi × ( Hourly Rate)i < 100,000 i= A F Project 2: ∑ xi × (Hourly Rate)i < 80,000 i= A F Project 3: ∑ xi × (Hourly Rate)i < 120,000 i= A MANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problem MANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problem F Project 4: ∑ xi × (Hourly Rate)i < 90,000 i= A F Project 5: ∑ xi × (Hourly Rate)i < 65,000 i= A F Project 6: ∑ xi × ( Hourly Rate)i < 85,000 i= A F Project 7: ∑ xi × ( Hourly Rate)i < 50,000 i= A F Project 8: ∑ xi × ( Hourly Rate)i < 55,000 i= A Non-negativity constraint Xij > b Solve this problem using QM and SOLVER MANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problem MANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problem c If the company want to maximize revenue while ignoring client preferences and consultant compatibility, will this change the solution in B? When the company maximize revenue while ignoring client preferences and consultant compatibility, the solution in B will change d Create a sensitivity report What is the shadow price in this case? MANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problem MANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problem e If consultant A and E change their hourly wage from $155 to $200 (A) and from $270 to $200, will the solution change? When consultant A and E change their hourly wage from $155 to $200 (A) and $270 to $200, the solution will change f By experience, consultant B and E is getting better at MANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problem MANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problem their ability, which mean their capacity for every project now minimum start from instead of or 2, will the shadow price change? The shadow price will not change The shadow price of Q.F: MANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problem MANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problem The shadow price of Q.B: Decision making MANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problem MANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problem EMV of Local gas company ¿ 60 % × 300.000+ 40 % × 150.000=240.000 EMV of Provider ¿ 60 %× (−100.000 ) +40 % × 600.000=180.000 EMV of Corporation ¿ 60 % × 120.000+ 40 % × 170.000=140.000 MANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problem MANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problem The maximum profit is related to Locas gas company, so the decision must be Locas gas company Forecasting a Weighted Moving Average Method The weight of April is 0.4 The weight of May is 0.2 The weight of June is 0.4 The forecasting demand for July ¿ 15 ×0.4 +19× 0.2+18 ×0.4=17 10 MANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problem MANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problemMANAGEMENT.SCIENCE.INDIVIDUAL.PROJECT.formulate.a.linear.programming.model.and.write.down.the.mathematical.model.for.this.problem
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