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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orchestra answered 1 year ago

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