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Linear programming and optimal production levels

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You are the production manager for a small manufacturer. You make three products: A at a margin of $100, B at a margin of $50 and C at a margin of $10. The boss wants to make only product A but you have a better plan using linear programming. The boss says why should I make any product B or C when I can make so much money with product A. Defend your position and convince your boss why also producing the other products could be a better plan.

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Solution Summary

The following discusses how to make a production decision via linear programming methods. A discussion is provided on the process and some of the pitfalls and things to consider in making a production decision.

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With no constraints your objective function would be a profit function where profit per unit A,B,C is 100,50,10 respectively. This gives you the following function:
Profit = 100A+50B+10C
with no constraints you would want to produce only A to maximize ...

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