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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 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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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.

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.
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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