21. The marketing manager for Mountain Mist soda needs to decide how many TV spots and magazine ads to run during the next quarter. Each TV spot costs $5,000 and is expected to increase sales by 300,000 cans. Each magazine ad costs $2,000 and is expected to increase sales by 500,000 cans. A total of $100,000 may be spent on TV and magazine ads; however, Mountain Mist wants to spend no more than $70,000 on TV spots and no more than $50,000 on magazine ads. Mountain Mist earns a profit of $0.05 on each can it sells. a. Formulate an LP model for this problem. b. Sketch the feasible region for this model. c. Find the optimal solution to the problem using level curves.

Principles of Microeconomics
7th Edition
ISBN:9781305156050
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter5: Elastic And Its Application
Section: Chapter Questions
Problem 6PA: Suppose that your demand schedule for DVDs is as follows: Price Quantity Demanded (income = 10,000)...
icon
Related questions
Question

Please show work / explain how you get answer as well. Thank you!

21. The marketing manager for Mountain Mist soda needs to decide how many TV spots
and magazine ads to run during the next quarter. Each TV spot costs $5,000 and is
expected to increase sales by 300,000 cans. Each magazine ad costs $2,000 and is
expected to increase sales by 500,000 cans. A total of $100,000 may be spent on TV
and magazine ads; however, Mountain Mist wants to spend no more than $70,000 on
TV spots and no more than $50,000 on magazine ads. Mountain Mist earns a profit of
$0.05 on each can it sells.
a. Formulate an LP model for this problem.
b. Sketch the feasible region for this model.
c. Find the optimal solution to the problem using level curves.
Transcribed Image Text:21. The marketing manager for Mountain Mist soda needs to decide how many TV spots and magazine ads to run during the next quarter. Each TV spot costs $5,000 and is expected to increase sales by 300,000 cans. Each magazine ad costs $2,000 and is expected to increase sales by 500,000 cans. A total of $100,000 may be spent on TV and magazine ads; however, Mountain Mist wants to spend no more than $70,000 on TV spots and no more than $50,000 on magazine ads. Mountain Mist earns a profit of $0.05 on each can it sells. a. Formulate an LP model for this problem. b. Sketch the feasible region for this model. c. Find the optimal solution to the problem using level curves.
Expert Solution
steps

Step by step

Solved in 2 steps with 7 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Principles of Microeconomics
Principles of Microeconomics
Economics
ISBN:
9781305156050
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Micro Economics For Today
Micro Economics For Today
Economics
ISBN:
9781337613064
Author:
Tucker, Irvin B.
Publisher:
Cengage,
Economics For Today
Economics For Today
Economics
ISBN:
9781337613040
Author:
Tucker
Publisher:
Cengage Learning
Survey Of Economics
Survey Of Economics
Economics
ISBN:
9781337111522
Author:
Tucker, Irvin B.
Publisher:
Cengage,
Essentials of Economics (MindTap Course List)
Essentials of Economics (MindTap Course List)
Economics
ISBN:
9781337091992
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Economics (MindTap Course List)
Economics (MindTap Course List)
Economics
ISBN:
9781337617383
Author:
Roger A. Arnold
Publisher:
Cengage Learning