t has fixed costs of $2625 related to the production of the t-shirts, and the production cost per nit is US$2.30. Company B also manufactures t-shirts and selll them directly to consumers. "he demand for its product is p = 15 – 125 its production cost per unit is US$5.00 nd its fixed cost are the same as for company A.

Micro Economics For Today
10th Edition
ISBN:9781337613064
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter7: Proudction Costs
Section: Chapter Questions
Problem 8SQP
icon
Related questions
Question

Good afternoon,

 I am resending the full question. 

Please that is how the question was stated.

Thanks in advance

If company A manufactures t-shirts and sells them to retailers for US$9.80 each.
It has fixed costs of $2625 related to the production of the t-shirts, and the production cost per
unit is US$2.30. Company Balso manufactures t-shirts and selll them directly to consumers.
The demand for its product is p = 15 -
125
. its production cost per unit is US$5.00
and its fixed cost are the same as for company A.
(1) Derive the total revenue function, R(x) for company A.
(ii) Derive the total cost function, C(x) for company A.
(ii) Derive the profit function, II(x) for company A.
(iv) Using a spreadsheet, create a table for showing x, R(x),, C(x) for company A
in the domain x = 50, 100, 150, 200, 250, 300, 350, 400, 450.
(v) Graph the functions from (d) above on the same axes.
(vi) From your graph, determine the break-even level of output for company A.
(vii) Derive the total revenue function, R(x) for company B.
(viii) Derive the profit function, II(x) for company B.
(ix) How many t-shirts must company B sell to in order to break-even.
(x) How many t-shirts must company B sell to maximise its profit.
Transcribed Image Text:If company A manufactures t-shirts and sells them to retailers for US$9.80 each. It has fixed costs of $2625 related to the production of the t-shirts, and the production cost per unit is US$2.30. Company Balso manufactures t-shirts and selll them directly to consumers. The demand for its product is p = 15 - 125 . its production cost per unit is US$5.00 and its fixed cost are the same as for company A. (1) Derive the total revenue function, R(x) for company A. (ii) Derive the total cost function, C(x) for company A. (ii) Derive the profit function, II(x) for company A. (iv) Using a spreadsheet, create a table for showing x, R(x),, C(x) for company A in the domain x = 50, 100, 150, 200, 250, 300, 350, 400, 450. (v) Graph the functions from (d) above on the same axes. (vi) From your graph, determine the break-even level of output for company A. (vii) Derive the total revenue function, R(x) for company B. (viii) Derive the profit function, II(x) for company B. (ix) How many t-shirts must company B sell to in order to break-even. (x) How many t-shirts must company B sell to maximise its profit.
Expert Solution
Step 1

 

“Since you have posted a question with multiple sub-parts, we will solve first three subparts for you. To get the remaining sub-parts solved, please repost the complete question and mention the sub-parts to be solved.”.

“Since you have asked multiple questions, we will solve the first question for you. If you want any specific question to be solved, then please specify the question number or post only that question.”

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Personal Budget
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Micro Economics For Today
Micro Economics For Today
Economics
ISBN:
9781337613064
Author:
Tucker, Irvin B.
Publisher:
Cengage,
Survey Of Economics
Survey Of Economics
Economics
ISBN:
9781337111522
Author:
Tucker, Irvin B.
Publisher:
Cengage,