Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
BIG company can advertise on three different websites-Yahoo, MSN and Facebook. „•Cost and exposure of each advertisement on these sites are given below: „BIG needs to make sure they are reaching at least 100,000 viewers through these ads while keeping their cost to the minimum. There are few other things BIG marketing executives need to keep in mind while planning such as BIG needs to have at least two ads on each one of the websites. Moreover, BIG needs to reach at least   30, 000 people through Yahoo and MSN On the other hand,  BIG does not want to have more than 200 ads on Facebook and the number of ads on Facebook needs to be at least 8% of the total ads.

BIG company can advertise on three different websites-Yahoo, MSN and Facebook. „•Cost and exposure of each advertisement on these sites are given below: „BIG needs to make sure they are reaching at least 100,000 viewers through these ads while keeping their cost to the minimum. There are few other things BIG marketing executives need to keep in mind while planning such as BIG needs to have at least two ads on each one of the websites. Moreover, BIG needs to reach at least   30, 000 people through Yahoo and MSN On the other hand,  BIG does not want to have more than 200 ads on Facebook and the number of ads on Facebook needs to be at least 8% of the total ads.

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
See similar textbooks
icon
Related questions
Question

Problem 1: Solve Using Linear Programming

„•BIG company can advertise on three different websites-Yahoo, MSN and Facebook.

„•Cost and exposure of each advertisement on these sites are given below:

„BIG needs to make sure they are reaching at least 100,000 viewers through these ads while keeping their cost to the minimum. There are few other things BIG marketing executives need to keep in mind while planning such as BIG needs to have at least two ads on each one of the websites. Moreover, BIG needs to reach at least

  30, 000 people through Yahoo and MSN On the other hand,  BIG does not want to have more than 200 ads on Facebook and the number of ads on Facebook needs to be at least 8% of the total ads.

Website Cost /ad Reach /ad $5000 6000 $5000 6000 Facebook $2500 1200 Yahoo MSN
Transcribed Image Text:Website Cost /ad Reach /ad $5000 6000 $5000 6000 Facebook $2500 1200 Yahoo MSN
Expert Solution
Step 1: Writing down the objective function

Given that a BIG company can advertise on three different websites-Yahoo, MSN and Facebook.

Let x1,x2,x3 be the number of ads on Yahoo, MSN, and Facebook.

Given the cost and reach of each ad on the table,

WebsiteCost/adReach/ad
Yahoo$50006000
MSN$50006000
Facebook$25001200

It is also given that the goal is to minimize the cost/ad. 

The objective function is text Min end text space Z equals 5000 x subscript 1 plus 5000 x subscript 2 plus 2500 x subscript 3.

steps

Step by step

Solved in 4 steps with 10 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS