XYZ Things Inc. produces and sells pressure washers per year at $p per pressure washer. The demand function for pressure washers is given by: p=490 0.1x The pressure washers cost $42 each to manufacture, plus fixed costs of $6700 per a. Find a function that expresses the company's monthly profit as a function of the quantity sold, c. P(x) = month. b. Determine the monthly quantity of pressure washers manufactured and sold that maximizes profit. (If necessary, round to the nearest whole number.) quantity: c. What is the price that results in maximized profit? (If necessary, round to 2 decimal places.) price = d. What is the maximized profit? (If necessary, round to 2 decimal places.) profit = =

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.4: Functions Given By Words
Problem 13E
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XYZ Things Inc. produces and sells pressure washers per year at $p per pressure washer. The demand
function for pressure washers is given by:
p=490 0.1x
The pressure washers cost $42 each to manufacture, plus fixed costs of $6700 per
a. Find a function that expresses the company's monthly profit as a function of the quantity sold, c.
P(x) =
month.
b. Determine the monthly quantity of pressure washers manufactured and sold that maximizes profit. (If
necessary, round to the nearest whole number.)
quantity:
c. What is the price that results in maximized profit? (If necessary, round to 2 decimal places.)
price =
d. What is the maximized profit? (If necessary, round to 2 decimal places.)
profit
=
=
Transcribed Image Text:XYZ Things Inc. produces and sells pressure washers per year at $p per pressure washer. The demand function for pressure washers is given by: p=490 0.1x The pressure washers cost $42 each to manufacture, plus fixed costs of $6700 per a. Find a function that expresses the company's monthly profit as a function of the quantity sold, c. P(x) = month. b. Determine the monthly quantity of pressure washers manufactured and sold that maximizes profit. (If necessary, round to the nearest whole number.) quantity: c. What is the price that results in maximized profit? (If necessary, round to 2 decimal places.) price = d. What is the maximized profit? (If necessary, round to 2 decimal places.) profit = =
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