Cully furniture buys 2 products for resale big shelves B and

Cully furniture buys 2 products for resale: big shelves (B) and medium shelves (M). Each big shelf costs $500 and requires 100 cubic feet of storage space, and each medium shelf costs $300 and requires 90 cubic feet of storage space. The company has $75000 to invest in shelves this week, and the warehouse has 18000 cubic feet available for storage. Profit for each big shelf is $300 and for each medium shelf is $150. What is the objective function? Answer MAX Z = $300B + $100 M MAX Z = $300M + $150 B MAX Z = $300B + $150 M MAX Z = $300B + $500 M

Solution

objective function will be the one providing maximum or minimum under given set of conditions

using 1st 2 conditions of price and space

100B + 90M   <= 18000             -> 1B +0.9M   <= 180

500B + 300M <=75000               -> 5B   + 3M    <= 750

in this case we would definitely want to increase the profit

so, 300B + 150M =MaxZ