Suppose the demand for a certain brand of a product is given by D(p) = -p^2/320 + 350, where p is the price in dollars. If the price, in terms of the cost c, is expressed as p(c) = 4c - 20, find the demand function in terms of the cost. D(c) = ?
Added by Darryl W.
Step 1
D(p) = -p^2/320 + 350 Now, replace p with the expression for p(c): D(c) = -(4c - 20)^2/320 + 350 Now, we need to simplify this expression. Start by expanding the square: D(c) = -(16c^2 - 160c + 400)/320 + 350 Now, divide each term by 320: Show more…
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