Maximization of Profit (Simplex method)   The Metal Company produces aluminum frying pans and aluminum casserole dishes.  Each frying pan and each casserole dish requires 10 oz. aluminum.  The company’s daily aluminum supply is limited to 140 oz.  Each frying pan and each casserole dish requires 20 minutes and 40 minutes respectively on the casting machine which is available for 400 minutes a day.  Each frying pan requires an insulated handle and only 12 of this are available each day. Each casserole dish requires 2 special pick-up handles and only 16 of this are available daily.  Each frying pan contributes P150 to profit and each casserole dish contributes P200 to profit.  The man is good and the company can sell all it can produce.  Determine the best combination of frying pans and casserole dishes which the company must produce and sell to maximize profit.  What is this profit?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.4: Linear Programming
Problem 21E
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Maximization of Profit (Simplex method)

 

The Metal Company produces aluminum frying pans and aluminum casserole dishes.  Each frying pan and each casserole dish requires 10 oz. aluminum.  The company’s daily aluminum supply is limited to 140 oz.  Each frying pan and each casserole dish requires 20 minutes and 40 minutes respectively on the casting machine which is available for 400 minutes a day.  Each frying pan requires an insulated handle and only 12 of this are available each day. Each casserole dish requires 2 special pick-up handles and only 16 of this are available daily.  Each frying pan contributes P150 to profit and each casserole dish contributes P200 to profit.  The man is good and the company can sell all it can produce.  Determine the best combination of frying pans and casserole dishes which the company must produce and sell to maximize profit.  What is this profit?

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