operation research ( industrial engineering)

Q2: (8 points) A gift shop produces 4 types of gifts. Table Q2 shows the time and material requirements to produce each type of gift, and it shows the minimum daily demand on each type. Per a typical production day, the shop works 6 hours, and has 5 Kg of material M1 and 7.5 kg of material M2 to work with Table Q2, also, shows the net profit from selling each of the types of gifts. Although some gifts result in a loss to the shop, management insists on producing at least the minimum demand from each gift type to satisfy their customers. Construct an LP to help management decide on their daily production mix. Give one feasible solution to the problem. Table 02 Time minutes) Material (grams) Minimum Demand Gift Type Production Assembly M M2 (units day) Profit ($) A 15 20 45 12 0.03 B 4.5 512 55 10 -0.05 C 6.2 6.7 72 13 0.07 D 4 314 15 30 0.04