Question

In: Statistics and Probability

A company manufactures two styles of toy wagons. The weekly profit (which takes into account all...

A company manufactures two styles of toy wagons. The weekly profit (which takes into account all revenues and costs including changing production from one style to the other) is:

P(X1, X2) = -0.01X12 - 0.02X22 - 0.01X1X2 + 30X1 + 50X2

It takes 0.20 hours to make one unit of wagon 1 and 0.25 hours to make a unit of wagon 2.

Suppose the company has 400 man-hours available weekly. What is the optimal product mix and the optimal profit if all 400 hours are to be used weekly?        

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