Question

What is the approximate average rate of change, in profit per dollar selling price, when the selling price yields $0 profit to a selling price that yields the maximum profit?
A 0
B 14
28
D 50

Answer 1

I don’t have the graph or the profit function, so I can’t compute the numeric answer yet. I need either the graph (or a table) or the two numbers:
- the selling price where profit = \$0, and
- the selling price that gives the maximum profit and that maximum profit amount.

Method to get the answer once you have those:
1. Let x1 = selling price where profit = 0, and x2 = selling price at maximum profit.
2. Let P2 = maximum profit (profit at x2).
3. The average rate of change (profit per dollar) from x1 to x2 is (P2 − 0) / (x2 − x1) = P2 / (x2 − x1).

If you post the graph or those numbers I’ll compute the value and pick the closest choice (A:0, B:14, C:28, D:50). For example, if profit is \$0 at \$10 and maximum profit is \$200 at \$24, then average rate = 200/(24−10) = 200/14 ≈ 14.29 → choice B.