(TIỂU LUẬN) TIỂU LUẬN formulate a linear programming model and write down the mathematical model for this problem

ĐẠI HỌC UEH TRƯỜNG KINH DOANH KHOA KINH DOANH QUỐC TẾ - MARKETING TIỂU LUẬN BỘ MÔN KHOA HỌC QUẢN TRỊ NGUYỄN PHƯƠNG UYÊN TP Hồ Chí Minh, ngày 24 tháng 11 năm 2021 ĐẠI HỌC UEH TRƯỜNG KINH DOANH KHOA KINH DOANH QUỐC TẾ - MARKETING TIỂU LUẬN Môn học: Khoa học quản trị (Management Sciene) Giảng viên: Nguyễn Thị Hồng Thu Mã lớp học phần: 21C1BUS50306804 Sinh viên: Nguyễn Phương Uyên Khóa – Lớp: K46 - FTC01 MSSV: 31201024693 TP Hồ Chí Minh, ngày 24 tháng 11 năm 2021 ENDORSEMENT I hereby declare that the data and research results in this thesis are my own construction, processing, not copied from any articles of any other organizations and individuals INSTRUCTOR’S COMMENT SCORES TABLE OF CONTENT PART I: LINEAR PROGRAMMING PROBLEM Formulate a linear programming model and write down the mathematical model for this problem Way to solve this problem using QM and SOLVER If the company want to maximize revenue while ignoring client preferences and consultant compatibility, will the solution in b change or not ? Create a sensitivity report Find out about the shadow price in this case ? If consultant A and E change their hourly wage from $155 to $200 (A) and from $270 to $200, will the solution change ? If the capacity for consultant B and E for every project now minimum start from three instead of or 2, will the shadow price change ? PART II: DECISION MAKING PROBLEM Draw a decision tree to help Petrolimex choose what’s best for the profit PART III: FORECASTING Calculate the forecasting demand using Weighted Moving Average Method, with the weighted factor of 0,40; 0,20; 0,40 Calculate the forecast using 3-month average method Calculate the forecast using last-value method Explain methods of forecast Which one is better and more accurate ? PART 1: LINEAR PROGRAMMING PROBLEM UDT is a consulting firm that develops e-commerce project, systems and websites for its clients It has six available consultants and eight clients project is under contract The consultants have different technical abilities and experience, and as a result, the company charges different hourly rates for its services Also, the consultant’s skill are more suited for some projects than others, and clients sometimes prefer some consultants over others The suitability of a consultant for a project is rated according to a 5-point scale, in which is the worst and is the best The following table shows the rating for each consultant for each project, as well as the hours available for each consultant and the contracted hours and maximum budget for each project : Consultant Hourly wage A $155 B $140 C $165 D $300 E $270 F $150 Project Hours Contract budget (x1000 USD) The company wants to know how many hours to assign each consultant to each project in order to best utilize their skill while meeting clients needs a Formulate a linear programming model and write down the mathematical model for this problem b Solve this problem using QM and SOLVER c If the company want to maximize revenue while ignoring client preferences and consultant compatibility, will this change the solution in b ? d Create a sensitivity report What is the shadow price in this case ? e If consultant A and E change their hourly wage from $155 to $200 (A) and from $270 to $200, will the solution change ? f By exprerience, consultant B and E is getting better at their ability, which mean their capacity for every project now minimum start from instead of or 2, will the shadow price change ? *** a.) Formulate a linear programming model and write down the mathematical model for this problem In order to formulate a linear programming model for this problem, we have to start with defining the decision variables *These variables are defined below: Hence let Hi: the hour used by each consultant (i=A,B…F) HWi: the hourly wage for each consultant (i=A,B F) HAi: the hour available for each consultant (i=A,B F) WPj: the wage per hours of each project (j=1,2 8) PHj: the contracted hours for every project (j=1,2, 8) CBJ: the contract budget for every project (j=1,2 8) Then Hij: the hour used by each consultant for every project where (i=A,B…F) and (j=1,2 8) *The constraint is calculated: The total sum of the hours used by each consultant for every project is smaller than or equal the hours available for each consultant HA1 + HA2 +….+ HA8