The XYZ store sells computers and laptops.

Question

The computer are shipped with 12-cubic footboxes and laptops in 8-cubic -foot boxes. The XYZ store estimates that at least 30 computers can be sold each month and the number of computers sold will be at least 50% more than the number of laptops. The computer cost the store RM1000 each and are sold for a profit of RM1000. The laptops cost the store RM300 each and are sold for a profit of RM350. The store room has a maximum capacity to hold 1000 cubic feet and can spend RM70,000 each month on computers and laptops. i) Formulate the above problem by using a linear programming model in order to maximize profit..

Answer 1

ratio of computers to laptops sold at least = 3:2 size of computer to laptop = 12:8 cost to buy computer to laptop = RM 1000 : RM 300 profit made by computer to laptop = RM 1000 : RM 350 store room capacity = 1000 cost on products = RM 70000 a month total laptop sold = (1000/52 minus remainder) * 2 = 38 laptop total computer sold = 19*3 + 1+= 58 computer total spending cost = RM 69400 total profit= 58*1000 + 38*350 = RM 71300 I'm not sure how to draw a diagram here but this is what I got