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 |C(x) = 215 + 11x Cost 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.

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
ChapterB: Differential Calculus Techniques In Management
Section: Chapter Questions
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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
|C(x) = 215 + 11x
Cost 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.
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 |C(x) = 215 + 11x Cost 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.
Use the Sales information above to answer this question.
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.
5.395
Transcribed Image Text:Use the Sales information above to answer this question. 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. 5.395
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