Based on the projected revenue and cost functions, the maximum profit that can be made from the ovens is a. $12,465.
Use the revenue and cost functions to find the profit:
= Revenue - Cost
= -13.85x² + 1,660x - (55,400 – 279x)
= -13.85x² + 1,939x - 55,400
Use the line of symmetry function to find x:
= -b/ 2a
= 1,939 / (2 x -13.85)
= 70
Profit is:
= -13.85x² + 1,939x - 55,400
= -13.85(70)² + 1,939(70) - 55,400
= $12,465
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