A candidate wishes to use a combination of radio and television advertisement in his campaign. Research has shown that each one-minute spot on television reaches 0.09 million people and each one minute spot on radio reaches 0.006 million people. The candidate feels that he must reach at least 2.16 million  people and he must buy a total of at least 80 minutes of advertisement .How many minutes of each medium should be used to minimize the cost , if television  cost (in dollars) $ 500 per minute and radio cost (in dollars) #$ 100 per minute. Formulate linear programming model for the above problem. Solve the model graphically.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 13T
icon
Related questions
Topic Video
Question

A candidate wishes to use a combination of radio and television advertisement in his campaign. Research has shown that each one-minute spot on television reaches 0.09 million people and each one minute spot on radio reaches 0.006 million people. The candidate feels that he must reach at least 2.16 million  people and he must buy a total of at least 80 minutes of advertisement .How many minutes of each medium should be used to minimize the cost , if television  cost (in dollars) $ 500 per minute and radio cost (in dollars) #$ 100 per minute.

  1. Formulate linear programming model for the above problem.
  2. Solve the model graphically.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 1 images

Blurred answer
Knowledge Booster
Optimization
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning