3. A firm produces two output goods, denoted by A and B. The cost per day is C(x, y) = 0.04x² -0.01xy +0.01y² + 4x + 2y + 500 when x units of A and y units of B are produced (x > 0, y > 0). The firm sells all it produces at prices 13 per unit of A and 8 per unit of B. Find the profit function 7(x, y) and the values of x and y that maximize profit.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. A firm produces two output goods, denoted by A and B. The cost per day is
C(x, y) = 0.04x² -0.01xy +0.01y² + 4x + 2y + 500
when x units of A and y units of B are produced (x > 0, y > 0). The firm sells all it produces at
prices 13 per unit of A and 8 per unit of B. Find the profit function 7(x, y) and the values of
x and
y that maximize profit.
Transcribed Image Text:3. A firm produces two output goods, denoted by A and B. The cost per day is C(x, y) = 0.04x² -0.01xy +0.01y² + 4x + 2y + 500 when x units of A and y units of B are produced (x > 0, y > 0). The firm sells all it produces at prices 13 per unit of A and 8 per unit of B. Find the profit function 7(x, y) and the values of x and y that maximize profit.
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