+ caam3781_2016_06_nor.pdf X PDF aam3781_2015_06_sup.pdf C 3 of 5 Q | Al X PDF caam3781_2016_06_nor (1).pdf x + File C:/Users/Loura%20lmbondi/Downloads/caam3781_2014_06_suop.pdf + (0) Page view A Read aloud | Add textDraw Highlight Question 4. [2J MATR a. {3 marks} Define shadow price and explain its use in linear programming. b. You are solving a product mix problem using linear programming for Millennium Caf. Objective function is to maximize contribution by choosing an appropriate product mix. You obtained the following table (incomplete) when you were asked by your manager to assist with preparing tax return for the caf. {22 marks} 8 10 9 0 0 Solution Mix Burger S1 10 Dosai 1 0.42 0.16 0.00 -0.03 0 S2 0 0 4.47 0.05 1.00 -0.34 8 Pizza 1 0 0.05 -0.11 0.00 0.18 Z 8 10 4.63 0.74 0.00 1.21 Refer to next page for requirements P a caam3781_2014_06_suop.pdf X [ mm Pizza 0 Dosai 3 S2 S3 0 RHS Quantity 14.47 68.16 13.68 254.21 8 Erase 23C Clear Q {" 60 ) ENG [+] 00 | 5:29 AM 07/06/2022 x PDF caam3781_2016_06_nor.pdf X PDF aam3781_2015_06_sup.pdf C E 4 HH Si of 5 a ww X File | C:/Users/Loura%20lmbondi/Downloads/caam3781_2014_06_suop.pdf Q Page view A Read aloud Z 8 10 1.21 254.21 Refer to next page for requirements 3 REQUIRED: (3 marks) i. ii. Indicate whether the above is an optimum solution? Why or why not? How much is the optimum solution value of three products and the objective function? (NB: if the above given solution is not optimum, you first have to work out optimum solution) (13 marks) iii. Is answer in (ii) above a practical (implementable) answer? Why? What alternative (s) (4 marks) do you have in this scenario? iv. Identify and interpret shadow prices from the optimum solution (if any). (2 marks) Question 3 (28 marks) O caam3781_2014_06_suop.pdf X (T) Add text 4.63 0.74 P caam3781_2016_06_nor (1).pdf Draw X Highlight 0.00 + Erase E23C Clear A . P 7 ENG 5:29 AM 07/06/2022 x "O + caam3781_2016_06_nor.pdf X PDF aam3781_2015_06_sup.pdf C 3 of 5 Q | Al X PDF caam3781_2016_06_nor (1).pdf x + File C:/Users/Loura%20lmbondi/Downloads/caam3781_2014_06_suop.pdf + (0) Page view A Read aloud | Add textDraw Highlight Question 4. [2J MATR a. {3 marks} Define shadow price and explain its use in linear programming. b. You are solving a product mix problem using linear programming for Millennium Caf. Objective function is to maximize contribution by choosing an appropriate product mix. You obtained the following table (incomplete) when you were asked by your manager to assist with preparing tax return for the caf. {22 marks} 8 10 9 0 0 Solution Mix Burger S1 10 Dosai 1 0.42 0.16 0.00 -0.03 0 S2 0 0 4.47 0.05 1.00 -0.34 8 Pizza 1 0 0.05 -0.11 0.00 0.18 Z 8 10 4.63 0.74 0.00 1.21 Refer to next page for requirements P a caam3781_2014_06_suop.pdf X [ mm Pizza 0 Dosai 3 S2 S3 0 RHS Quantity 14.47 68.16 13.68 254.21 8 Erase 23C Clear Q {" 60 ) ENG [+] 00 | 5:29 AM 07/06/2022 x PDF caam3781_2016_06_nor.pdf X PDF aam3781_2015_06_sup.pdf C E 4 HH Si of 5 a ww X File | C:/Users/Loura%20lmbondi/Downloads/caam3781_2014_06_suop.pdf Q Page view A Read aloud Z 8 10 1.21 254.21 Refer to next page for requirements 3 REQUIRED: (3 marks) i. ii. Indicate whether the above is an optimum solution? Why or why not? How much is the optimum solution value of three products and the objective function? (NB: if the above given solution is not optimum, you first have to work out optimum solution) (13 marks) iii. Is answer in (ii) above a practical (implementable) answer? Why? What alternative (s) (4 marks) do you have in this scenario? iv. Identify and interpret shadow prices from the optimum solution (if any). (2 marks) Question 3 (28 marks) O caam3781_2014_06_suop.pdf X (T) Add text 4.63 0.74 P caam3781_2016_06_nor (1).pdf Draw X Highlight 0.00 + Erase E23C Clear A . P 7 ENG 5:29 AM 07/06/2022 x "O
