Untitled UEH UNIVERSITY BUSINESS SCHOOL INTERNATIONAL BUSINESS – MARKETING FACULTY ESSAY SUBJECT MANAGEMENT SCIENCE Lecturer MSc Le Anh Huyen Tram Student Ph m Th Bích Ngânạ ị Date of birth 07/09/2002[.]
lOMoARcPSD|17160101 UEH UNIVERSITY BUSINESS SCHOOL INTERNATIONAL BUSINESS – MARKETING FACULTY ESSAY SUBJECT: MANAGEMENT SCIENCE Lecturer: MSc Le Anh Huyen Tram Student: Phạm Thị Bích Ngân Date of birth: 07/09/2002 ID Student: 31201021421 Class code: 21C1PHY51400146 Binh Phuoc, 20th December 2021 CASE STUDY 1: lOMoARcPSD|17160101 Which category of linear programming problem does this problem fit? Why? Linear programming problem of this problem is a mixed problem We have the concept of a mixed problem as: Any linear programming problem that includes at least two of the three types of functional constraints (resource constraints, benefit constraints, and fixed-requirement constraints) Beacause this linear programming problem has the functional constraints with “” and “=” sign It mixed resource constraints "" and fixed-requirement constraints "=", so it is called mixed problem Express the mathematical model of this problem Maximize the assigned hours multiplied by the suitability of a consultant for a project = 3A1 + 3A2 + 5A3 + 5A4 + 3A5 + 3A6 + 3A7 + 3A8 + 3B1 + 3B2 + 2B3 + 5B4 + 5B5 + 5B6 + 3B7 + 3B8 + 2C1 + 1C2 + 3C3 + 3C4 + 2C5 + 1C6 + 5C7 + 3C8 + 1D1 + 3D2 + 1D3 + 1D4 + 2D5 + 2D6 + 4D7 + 1D8 + 3E1 + 1E2 + 1E3 + 2E4 + 2E5 + 1E6 + 3E7 + 3E8 + 4F1 + 5F2 + 3F3 + 2F4 + 3F5 + 5F6 + 4F7 + 3F8 Subject to: Available hours: A1 + A2 + A3 + A4 + A5 + A6 + A7 + A8 450 B1 + B2 + B3 + B4 + B5 + B6 + B7 + B8 600 C1 + C2 + C3 + C4 + C5 + C6 + C7 + C8 500 D1 + D2 + D3 + D4 + D5 + D6 + D7 + D8 300 E1 + E2 + E3 + E4 + E5 + E6 + E7 + E8 710 F1 + F2 + F3 + F4 + F5 + F6 + F7 + F8 860 Project hours: A1 + B1 + C1 + D1 + E1 + F1 = 500 A2 + B2 + C2 + D2 + E2 + F2 = 240 A3 + B3 + C3 + D3 + E3 + F3 = 400 A4 + B4 + C4 + D4 + E4 + F4 = 475 lOMoARcPSD|17160101 A5 + B5 + C5 + D5 + E5 + F5 = 350 A6 + B6 + C6 + D6 + E6 + F6 = 460 A7 + B7 + C7 + D7 + E7 + F7 = 290 A8 + B8 + C8 + D8 + E8 + F8 = 200 And: A1, A2, A3, A4, A5, A6, A7, A8 B1, B2, B3, B4, B5, B6, B7, B8 C1, C2, C3, C4, C5, C6, C7, C8 D1, D2, D3, D4, D5, D6, D7, D8 E1, E2, E3, E4, E5, E6, E7, E8 F1, F2, F3, F4, F5, F6, F7, F8 Export the sensitivity report and interpret every line of this report Interpret the sensitivity report: ● Variable Cells: C14: When the objective coefficients (the suitability of a consultant for a project) are point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, the optimal solution for each consultant are: Consultant A assigned hours for project 1, hours for project 2, 190 hours for project 3, 260 hours for project 4, hours for project 5, hours for project 6, hours for project 7, hours for project 8; Consultant B assigned hours for project 1, hours for project 2, hours for project 3, 215 hours for project 4, 350 hours for project 5, 35 hours for project 6, hours for project 7, hours for project 8; Consultant C lOMoARcPSD|17160101 assigned hours for project 1, hours for project 2, 210 hours for project 3, hours for project 4, hours for project 5, hours for project 6, 290 hours for project 7, hours for project 8; Consultant D assigned hours for project 1, 96.6667 hours for project 2, hours for project 3, hours for project 4, hours for project 5, hours for project 6, hours for project 7, hours for project 8; Consultant E assigned 208.3333 hours for project 1, hours for project 2, hours for project 3, hours for project 4, hours for project 5, hours for project 6, hours for project 7, 200 hours for project 8; Consultant F assigned 291.667 hours for project 1, 143.333 hours for project 2, hours for project 3, hours for project 4, hours for project 5, 425 hours for project 6, hours for project 7, hours for project This optimal solution will keep intact if the suitability of consultant A for project varies from to 4.04167 D14: When the objective coefficients (the suitability of a consultant for a project) are point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, the optimal solution for each consultant are: Consultant A assigned hours for project 1, hours for project 2, 190 hours for project 3, 260 hours for project 4, hours for project 5, hours for project 6, hours for project 7, hours for project 8; Consultant B assigned hours for project 1, hours for project 2, hours for project 3, 215 hours for project 4, 350 hours for project 5, 35 hours for project 6, hours for project 7, hours for project 8; Consultant C assigned hours for project 1, hours for project 2, 210 hours for project 3, hours for project 4, hours for project 5, hours for project 6, 290 hours for project 7, hours for project 8; Consultant D assigned hours for project 1, 96.6667 hours for project 2, hours for project 3, hours for project 4, hours for project 5, hours for project 6, hours for project 7, hours for project 8; Consultant E assigned 208.3333 hours for project 1, hours for project 2, hours for project 3, hours for project 4, hours for project 5, hours for project 6, hours for project 7, 200 hours for project 8; Consultant F assigned 291.667 hours for project 1, 143.333 hours for project 2, hours for project 3, hours for project 4, hours for project 5, 425 hours for project 6, hours for project 7, hours for project This optimal solution will keep intact if the suitability of consultant A for project varies from to lOMoARcPSD|17160101 E14: When the objective coefficients (the suitability of a consultant for a project) are point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, the optimal solution for each consultant are: Consultant A assigned hours for project 1, hours for project 2, 190 hours for project 3, 260 hours for project 4, hours for project 5, hours for project 6, hours for project 7, hours for project 8; Consultant B assigned hours for project 1, hours for project 2, hours for project 3, 215 hours for project 4, 350 hours for project 5, 35 hours for project 6, hours for project 7, hours for project 8; Consultant C assigned hours for project 1, hours for project 2, 210 hours for project 3, hours for project 4, hours for project 5, hours for project 6, 290 hours for project 7, hours for project 8; Consultant D assigned hours for project 1, 96.6667 hours for project 2, hours for project 3, hours for project 4, hours for project 5, hours for project 6, hours for project 7, hours for project 8; Consultant E assigned 208.3333 hours for project 1, hours for project 2, hours for project 3, hours for project 4, hours for project 5, hours for project 6, hours for project 7, 200 hours for project 8; Consultant F assigned 291.667 hours for project 1, 143.333 hours for project 2, hours for project 3, hours for project 4, hours for project 5, 425 hours for project 6, hours for project 7, hours for project This optimal solution will keep intact if the suitability of consultant A for project varies F14: When the objective coefficients (the suitability of a consultant for a project) are point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, the optimal solution for each consultant are: Consultant A assigned hours for project 1, hours for project 2, 190 hours for project 3, 260 hours for project 4, hours for project 5, hours for project 6, hours for project 7, hours for project 8; Consultant B assigned hours for project 1, hours for project 2, hours for project 3, 215 hours for project 4, 350 hours for project 5, 35 hours for project 6, hours for project 7, hours for project 8; Consultant C assigned hours for project 1, hours for project 2, 210 hours for project 3, hours for project lOMoARcPSD|17160101 4, hours for project 5, hours for project 6, 290 hours for project 7, hours for project 8; Consultant D assigned hours for project 1, 96.6667 hours for project 2, hours for project 3, hours for project 4, hours for project 5, hours for project 6, hours for project 7, hours for project 8; Consultant E assigned 208.3333 hours for project 1, hours for project 2, hours for project 3, hours for project 4, hours for project 5, hours for project 6, hours for project 7, 200 hours for project 8; Consultant F assigned 291.667 hours for project 1, 143.333 hours for project 2, hours for project 3, hours for project 4, hours for project 5, 425 hours for project 6, hours for project 7, hours for project This optimal solution will keep intact if the suitability of consultant A for project varies G14: When the objective coefficients (the suitability of a consultant for a project) are point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, the optimal solution for each consultant are: Consultant A assigned hours for project 1, hours for project 2, 190 hours for project 3, 260 hours for project 4, hours for project 5, hours for project 6, hours for project 7, hours for project 8; Consultant B assigned hours for project 1, hours for project 2, hours for project 3, 215 hours for project 4, 350 hours for project 5, 35 hours for project 6, hours for project 7, hours for project 8; Consultant C assigned hours for project 1, hours for project 2, 210 hours for project 3, hours for project 4, hours for project 5, hours for project 6, 290 hours for project 7, hours for project 8; Consultant D assigned hours for project 1, 96.6667 hours for project 2, hours for project 3, hours for project 4, hours for project 5, hours for project 6, hours for project 7, hours for project 8; Consultant E assigned 208.3333 hours for project 1, hours for project 2, hours for project 3, hours for project 4, hours for project 5, hours for project 6, hours for project 7, 200 hours for project 8; Consultant F assigned 291.667 hours for project 1, 143.333 hours for project 2, hours for project 3, hours for project 4, hours for project 5, 425 hours for project 6, hours for project 7, hours for project This optimal solution will keep intact if the suitability of consultant A for project varies from to lOMoARcPSD|17160101 H14: When the objective coefficients (the suitability of a consultant for a project) are point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, the optimal solution for each consultant are: Consultant A assigned hours for project 1, hours for project 2, 190 hours for project 3, 260 hours for project 4, hours for project 5, hours for project 6, hours for project 7, hours for project 8; Consultant B assigned hours for project 1, hours for project 2, hours for project 3, 215 hours for project 4, 350 hours for project 5, 35 hours for project 6, hours for project 7, hours for project 8; Consultant C assigned hours for project 1, hours for project 2, 210 hours for project 3, hours for project 4, hours for project 5, hours for project 6, 290 hours for project 7, hours for project 8; Consultant D assigned hours for project 1, 96.6667 hours for project 2, hours for project 3, hours for project 4, hours for project 5, hours for project 6, hours for project 7, hours for project 8; Consultant E assigned 208.3333 hours for project 1, hours for project 2, hours for project 3, hours for project 4, hours for project 5, hours for project 6, hours for project 7, 200 hours for project 8; Consultant F assigned 291.667 hours for project 1, 143.333 hours for project 2, hours for project 3, hours for project 4, hours for project 5, 425 hours for project 6, hours for project 7, hours for project This optimal solution will keep intact if the suitability of consultant A for project varies from to I14: When the objective coefficients (the suitability of a consultant for a project) are point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, the optimal solution for each consultant are: Consultant A assigned hours for project 1, hours for project 2, 190 hours for project 3, 260 hours for project 4, hours for project 5, hours for project 6, hours for project 7, hours for project 8; Consultant B assigned hours for project 1, hours for project 2, hours for project 3, 215 hours for project 4, 350 hours for project 5, 35 hours for project 6, hours for project 7, hours for project 8; Consultant C assigned hours for project 1, hours for project 2, 210 hours for project 3, hours for project lOMoARcPSD|17160101 4, hours for project 5, hours for project 6, 290 hours for project 7, hours for project 8; Consultant D assigned hours for project 1, 96.6667 hours for project 2, hours for project 3, hours for project 4, hours for project 5, hours for project 6, hours for project 7, hours for project 8; Consultant E assigned 208.3333 hours for project 1, hours for project 2, hours for project 3, hours for project 4, hours for project 5, hours for project 6, hours for project 7, 200 hours for project 8; Consultant F assigned 291.667 hours for project 1, 143.333 hours for project 2, hours for project 3, hours for project 4, hours for project 5, 425 hours for project 6, hours for project 7, hours for project This optimal solution will keep intact if the suitability of consultant A for project varies from to J14: When the objective coefficients (the suitability of a consultant for a project) are point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, the optimal solution for each consultant are: Consultant A assigned hours for project 1, hours for project 2, 190 hours for project 3, 260 hours for project 4, hours for project 5, hours for project 6, hours for project 7, hours for project 8; Consultant B assigned hours for project 1, hours for project 2, hours for project 3, 215 hours for project 4, 350 hours for project 5, 35 hours for project 6, hours for project 7, hours for project 8; Consultant C assigned hours for project 1, hours for project 2, 210 hours for project 3, hours for project 4, hours for project 5, hours for project 6, 290 hours for project 7, hours for project 8; Consultant D assigned hours for project 1, 96.6667 hours for project 2, hours for project 3, hours for project 4, hours for project 5, hours for project 6, hours for project 7, hours for project 8; Consultant E assigned 208.3333 hours for project 1, hours for project 2, hours for project 3, hours for project 4, hours for project 5, hours for project 6, hours for project 7, 200 hours for project 8; Consultant F assigned 291.667 hours for project 1, 143.333 hours for project 2, hours for project 3, hours for project 4, hours for project 5, 425 hours for project 6, hours for project 7, hours for project This optimal solution will keep intact if the suitability of consultant A for project varies from to lOMoARcPSD|17160101 C15: When the objective coefficients (the suitability of a consultant for a project) are point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, the optimal solution for each consultant are: Consultant A assigned hours for project 1, hours for project 2, 190 hours for project 3, 260 hours for project 4, hours for project 5, hours for project 6, hours for project 7, hours for project 8; Consultant B assigned hours for project 1, hours for project 2, hours for project 3, 215 hours for project 4, 350 hours for project 5, 35 hours for project 6, hours for project 7, hours for project 8; Consultant C assigned hours for project 1, hours for project 2, 210 hours for project 3, hours for project 4, hours for project 5, hours for project 6, 290 hours for project 7, hours for project 8; Consultant D assigned hours for project 1, 96.6667 hours for project 2, hours for project 3, hours for project 4, hours for project 5, hours for project 6, hours for project 7, hours for project 8; Consultant E assigned 208.3333 hours for project 1, hours for project 2, hours for project 3, hours for project 4, hours for project 5, hours for project 6, hours for project 7, 200 hours for project 8; Consultant F assigned 291.667 hours for project 1, 143.333 hours for project 2, hours for project 3, hours for project 4, hours for project 5, 425 hours for project 6, hours for project 7, hours for project This optimal solution will keep intact if the suitability of consultant B for project varies from to 3.9167 D15: When the objective coefficients (the suitability of a consultant for a project) are point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, the optimal solution for each consultant are: Consultant A assigned hours for project 1, hours for project 2, 190 hours for project 3, 260 hours for project 4, hours for project 5, hours for project 6, hours for project 7, hours for project 8; Consultant B assigned hours for project 1, hours for project 2, hours for project 3, 215 hours for project 4, 350 hours for project 5, 35 hours for project 6, hours for project 7, hours for project 8; Consultant C assigned hours for project 1, hours for project 2, 210 hours for project 3, hours for project lOMoARcPSD|17160101 4, hours for project 5, hours for project 6, 290 hours for project 7, hours for project 8; Consultant D assigned hours for project 1, 96.6667 hours for project 2, hours for project 3, hours for project 4, hours for project 5, hours for project 6, hours for project 7, hours for project 8; Consultant E assigned 208.3333 hours for project 1, hours for project 2, hours for project 3, hours for project 4, hours for project 5, hours for project 6, hours for project 7, 200 hours for project 8; Consultant F assigned 291.667 hours for project 1, 143.333 hours for project 2, hours for project 3, hours for project 4, hours for project 5, 425 hours for project 6, hours for project 7, hours for project This optimal solution will keep intact if the suitability of consultant B for project varies from to E15: When the objective coefficients (the suitability of a consultant for a project) are point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, point, the optimal solution for each consultant are: Consultant A assigned hours for project 1, hours for project 2, 190 hours for project 3, 260 hours for project 4, hours for project 5, hours for project 6, hours for project 7, hours for project 8; Consultant B assigned hours for project 1, hours for project 2, hours for project 3, 215 hours for project 4, 350 hours for project 5, 35 hours for project 6, hours for project 7, hours for project 8; Consultant C assigned hours for project 1, hours for project 2, 210 hours for project 3, hours for project 4, hours for project 5, hours for project 6, 290 hours for project 7, hours for project 8; Consultant D assigned hours for project 1, 96.6667 hours for project 2, hours for project 3, hours for project 4, hours for project 5, hours for project 6, hours for project 7, hours for project 8; Consultant E assigned 208.3333 hours for project 1, hours for project 2, hours for project 3, hours for project 4, hours for project 5, hours for project 6, hours for project 7, 200 hours for project 8; Consultant F assigned 291.667 hours for project 1, 143.333 hours for project 2, hours for project 3, hours for project 4, hours for project 5, 425 hours for project 6, hours for project 7, hours for project This optimal solution will keep intact if the suitability of consultant B for project varies from to Downloaded by Free Games Android (vuchinhhp1@gmail.com) ... + 3E1 + 1E2 + 1E3 + 2E4 + 2E5 + 1E6 + 3E7 + 3E8 + 4F1 + 5F2 + 3F3 + 2F4 + 3F5 + 5F6 + 4F7 + 3F8 Subject to: Available hours: A1 + A2 + A3 + A4 + A5 + A6 + A7 + A8 450 B1 + B2 + B3 + B4 + B5 +