The Acme Widget Company has found that if widgets are priced at $125, then 2700 will be sold each month. They have also found that for every increase of $18, there will be 100 fewer widgets sold each month. The cost to produce each widget is $25 plus the monthly fixed costs are $3800. Find the price that will maximize profits from the sale of widgets(round to the nearest cent) $4 At this price, what is the maximal monthly profit? (round to the nearest dollar) $4 How many widgets must be sold each month to earn the maximum profit? (round to the nearest whole number)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The Acme Widget Company has found that if widgets are priced at $125, then 2700 will be sold each month. They have also found that for every increase of $18, there will be 100 fewer widgets sold each month. The cost to produce each widget is $25 plus the monthly fixed costs are $3800.
The Acme Widget Company has found that if widgets are priced at $125, then 2700 will be sold each
month. They have also found that for every increase of $18, there will be 100 fewer widgets sold each
month. The cost to produce each widget is $25 plus the monthly fixed costs are $3800.
Find the price that will maximize profits from the sale of widgets(round to the nearest cent)
$4
At this price, what is the maximal monthly profit? (round to the nearest dollar)
$4
How many widgets must be sold each month to earn the maximum profit? (round to the nearest whole
number)
Transcribed Image Text:The Acme Widget Company has found that if widgets are priced at $125, then 2700 will be sold each month. They have also found that for every increase of $18, there will be 100 fewer widgets sold each month. The cost to produce each widget is $25 plus the monthly fixed costs are $3800. Find the price that will maximize profits from the sale of widgets(round to the nearest cent) $4 At this price, what is the maximal monthly profit? (round to the nearest dollar) $4 How many widgets must be sold each month to earn the maximum profit? (round to the nearest whole number)
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