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The Super-warm Company produces two electric heaters (products A and B) that require both heating elements...

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Basic Math

The Super-warm Company produces two electric heaters (products Aand B) that require both heating elements and electricalcomponents. The owner currently determines how many units of eachproduct to be produced so as to maximize the profit. For each unitof product A, 3 units of heating elements and 1 unit of electricalcomponents are required. For each unit of product B, 1 unit ofheating elements and 2 units of electrical components are required.The company has 750 units of heating elements and 600 units ofelectrical components. Each unit of product A, up to 130 units,gives a profit of $30, and each unit of product B gives a profit of$20. Any excess over 130 units of product A brings no extra profit,so such an excess has been ruled out.

a) Formulate a Linear Programming model for this problem.

b) Use the graphical method to solve this model. What is maximumtotal profit?

Answer & Explanation Solved by verified expert
3.6 Ratings (530 Votes)
aLet the number of units of product A x1Let the number of units of product B x2Objective function Maximize Z 30x1    See Answer
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