Solve the problem.A coffee house sells coffee by the pound, charging $8.50 per pound for quantities up to and including 40 pounds. Above 40 pounds, the coffee house charges $7.50 per pound for the entire quantity, plus a quantity surcharge, k. If x represents the number of pounds, the price function isp(x) = Find k such that the price function p is continuous at x = 40. Then explain why it is preferable to have continuity at x = 40.

A. k = 415; It is preferable so that the coffee house makes a profit.
B. k = 640; It is preferable so that the coffee house does not lose revenue.
C. k = 265; It is preferable so that the coffee house makes a profit.
D. k = 40; It is preferable so that the coffee house does not lose revenue.


Answer: D

Mathematics

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