The Latex Manufacturing Company produces aluminum frying pans and casserole dish

Question

The Latex Manufacturing Company produces aluminum frying pans and casserole dishes. Each frying pan and each casserole dish requires 40 ounces of aluminum. The company’s daily supply of aluminum is limited to 560 ounces. Each frying pan requires 20 minutes on the casting machine. The casting machine is available for 400 minutes daily. Each frying pan requires an insulated handle and only 12 of these are available daily. Each casserole dish requires two special pick-up handles and only 16 of these are available daily. Each frying pan contributes P25 to profit and each casserole dish contributes to P20. Find the number of casserole and frying pan to make daily in order to maximize the profit?

Explanation / Answer

Let the number of frying pans be x

Let the number of casseroles be y

Maximize P = 25x + 20y

Constraints:

40x + 40y <= 560 (aluminium constraint)

20x <= 400 (casting machine constraint)

x <= 12 (frying pan constraint on handle)

2y <= 16 (casserole constraint on handle)

x <= 12 and y < = 8

x + y <= 14

Since the profit on the frying pan is higher, hence we will develop 12 frying pans and 2 casseroles

Therefore, number of casseroles = 2 and frying pans = 12

Maximum Profit = 25(12) + 20(2) = 340P

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