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A firm produces two different kinds a and b of a commodity

Question: (a) A firm produces two different kinds A and B of a commodity. The daily cost of producing x units of A and y units of B is

C(x, y) = 2x² - 4xy + 4y² - 40x - 20y + 514

Suppose that the firm sells all its output at a price per unit of $24 for A and $12 for B. Find the daily production levels x and y that maximize profit.

(b) The firm is required to produce exactly 54 units per day of the two kinds combined. What now is the optimal production plan?

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Mathematics: A firm produces two different kinds a and b of a commodity

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Mathematics: A firm produces two different kinds a and b of a commodity

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