Question

In: Statistics and Probability

Please show all work A firm produces two types of products, A and B. The total...

Please show all work

  1. A firm produces two types of products, A and B. The total profit, P(x, y), in thousands of dollars, for selling x thousand units of A and y thousand units of B is

P(x, y) = –5x2 – 2y2 – 2xy + 24x + 12y – 20.

Find the amounts of x and y that maximize P(x, y).      x = ___,     y = ___.

Solutions

Expert Solution

The given proft function P(x,y) is maximum at x = 2 and y = 2 . the detailed answer is as follows


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