Jesaki Inc. is trying to enter the widget market. The research department established the following price-demand, cost, and revenue functions: Price- |p(x) = 60 - 1.20x demand function Cost C(x) = 210 + 12x function Revenue |R(x) = xp(x) = x(60 - 1.20x) function where x is in thousands of widgets and C'(x) and R(x) are in thousands of dollars. The price p(x) is the price in dollars of one widget when the demand is a thousand widgets. All three functions have domain 1 ≤ x ≤ 50. X

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.1: Systems Of Linear Equations: Two Variables
Problem 2SE: If you are performing a break-even analysis for a business and their cost and revenue equations are...
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8a)What is the smallest number of widgets that can be produced and sold for Jesaki Inc. to break even? widgets.  Round to the nearest widget.

b)What is the largest number of widgets that can be produced and sold for Jesaki Inc. to break even?widgets.  Round to the nearest widget.

 

 

Widget Sales
Jesaki Inc. is trying to enter the widget market. The research
department established the following price-demand, cost, and
revenue functions:
Price-
p(x) = 60 - 1.20x
demand
function
Cost
|C(x) = 210 + 12x
function
Revenue
R(x) = xp(x) = x(60 - 1.20x)
function
where x is in thousands of widgets and C(x) and R(x) are in
thousands of dollars. The price p(x) is the price in dollars of
one widget when the demand is â thousand widgets. All three
functions have domain 1 ≤ x ≤ 50.
Transcribed Image Text:Widget Sales Jesaki Inc. is trying to enter the widget market. The research department established the following price-demand, cost, and revenue functions: Price- p(x) = 60 - 1.20x demand function Cost |C(x) = 210 + 12x function Revenue R(x) = xp(x) = x(60 - 1.20x) function where x is in thousands of widgets and C(x) and R(x) are in thousands of dollars. The price p(x) is the price in dollars of one widget when the demand is â thousand widgets. All three functions have domain 1 ≤ x ≤ 50.
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