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 is
p(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.
◦ k = 640; It is preferable so that the coffee house does not lose revenue.
◦ k = 40; It is preferable so that the coffee house does not lose revenue.
◦ k = 265; It is preferable so that the coffee house makes a profit.
◦ k = 415; It is preferable so that the coffee house makes a profit.
Ground coffee magnified
Spruce Tree House, Mesa Verde.
Philip Webb, The Red House, Bexleyheath, U.K.
House
House, backyard measurements