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

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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.

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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