Express the profit as a function of the price p.
The demand x and price p (in dollars) for a certain product are related by
x = f(p) = 12,000 – 300p 0 ? p ? 40.
The revenue (in dollars) from the sale of x units is given by
R(x) = 69x – 0.004x2
and the cost (in dollars) of producing x units is given by
C(x) = 5,300 + 4x.
P(p) = 53,600 + 100p – 40p²
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