A coffee shop currently sells 470 lattes a day at $3.50 each. They recently tried raising the by price by $0.25 a latte, and found that they sold 50 less lattes a day. a) Assume that the number of lattes they sell in a day, 'N, is linearly related to the sale price, 'p' (in dollars). Find an equation for N as a function of p. N(p)= b) Revenue (the amount of money the store brings in before costs) can be found by multiplying the cost per cup times the number of cups sold. Again using p as the sales price, use your equation from above to write an equation for the revenue, R as a function of p. R(p) = c) The store wants to maximize their revenue (make as much money as possible). Find the value of ò that will maximize the revenue (round to the nearest cent).

A coffee shop currently sells 470 lattes a day at $3.50 each. They recently tried raising the by price by $0.25 a latte, and found that they sold 50 less lattes a day. a) Assume that the number of lattes they sell in a day, 'N, is linearly related to the sale price, 'p' (in dollars). Find an equation for N as a function of p. N(p)= b) Revenue (the amount of money the store brings in before costs) can be found by multiplying the cost per cup times the number of cups sold. Again using p as the sales price, use your equation from above to write an equation for the revenue, R as a function of p. R(p) = c) The store wants to maximize their revenue (make as much money as possible). Find the value of ò that will maximize the revenue (round to the nearest cent).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

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