Thingamabob Sales Yaster Inc. is trying to enter the thingamabob market. The research department established the following price-demand, cost, and revenue functions: Price- p(x) = 57 – 1.14x demand function Cost C(x) = 215 + 11x function Revenue |R(x) = xp(x) = x(57-1.14x) function where x is in thousands of thingamabobs and C'(x) and R(x) are in thousands of dollars. The price p(x) is the price in dollars of one thingamabob when the demand is a thousand x thingamabobs. All three functions have domain 1 ≤ x ≤ 50.
Thingamabob Sales Yaster Inc. is trying to enter the thingamabob market. The research department established the following price-demand, cost, and revenue functions: Price- p(x) = 57 – 1.14x demand function Cost C(x) = 215 + 11x function Revenue |R(x) = xp(x) = x(57-1.14x) function where x is in thousands of thingamabobs and C'(x) and R(x) are in thousands of dollars. The price p(x) is the price in dollars of one thingamabob when the demand is a thousand x thingamabobs. All three functions have domain 1 ≤ x ≤ 50.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...
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Question
cc 8,9 a)What is the smallest number of thingamabobs that can be produced and sold for Yaster Inc. to break even?
thingamabobs. Round to the nearest thingamabob.
b) What is the largest number of thingamabobs that can be produced and sold for Yaster Inc. to break even?
thingamabobs. Round to the nearest thingamabob.
Transcribed Image Text:Thingamabob Sales
Yaster Inc. is trying to enter the thingamabob market. The
research department established the following price-demand,
cost, and revenue functions:
Price-
p(x) = 57 1.14x
demand
function
Cost
|C(x) = 215 + 11x
function
Revenue
|R(x) = xp(x) = x(57 — 1.14x)
function
where x is in thousands of thingamabobs and C(x) and R(x)
are in thousands of dollars. The price p(x) is the price in dollars
of one thingamabob when the demand is a thousand
thingamabobs. All three functions have domain 1 ≤ x ≤ 50.
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