A publishing house publishes three weekly magazines-Daily Life, Agriculture Today, and Surf's Up. Publication of one issue of each of the magazines requires the following amounts of production time and paper: Daily Life Agriculture Today Surf's Up Production (hr.) 0.01 0.03 0.02 Paper (lb.) 0.2 0.5 0.3 Each week the publisher has available 120 hours of production time and 3,000 pounds of paper. Total circulation for all three magazines must exceed 5,000 issues per week if the company is to keep its advertisers. The selling price per issue is $2.25 for Daily Life, $4.00 for Agriculture To- day, and $1.50 for Surf's Up. Based on past sales, the publisher knows that the maximum weekly demand for Daily Life is 3,000 issues; for Agriculture Today, 2,000 issues; and for Surf's Up. 6,000 issues. The production manager wants to know the number of issues of each maga- zine to produce weekly in order to maximize total sales revenue.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section: Chapter Questions
Problem 59P
icon
Related questions
Question


Given the constraints in this problem the maximum profit is:

A publishing house publishes three weekly magazines-Daily Life, Agriculture Today, and
Surf's Up. Publication of one issue of each of the magazines requires the following amounts of
production time and paper:
Daily Life
Agriculture Today
Surf's Up
Production (hr.)
0.01
0.03
0.02
Paper (lb.)
0.2
0.5
0.3
Each week the publisher has available 120 hours of production time and 3,000 pounds of paper.
Total circulation for all three magazines must exceed 5,000 issues per week if the company is to
keep its advertisers. The selling price per issue is $2.25 for Daily Life, $4.00 for Agriculture To-
day, and $1.50 for Surf's Up. Based on past sales, the publisher knows that the maximum
weekly demand for Daily Life is 3,000 issues; for Agriculture Today, 2,000 issues; and for Surf's
Up. 6,000 issues. The production manager wants to know the number of issues of each maga-
zine to produce weekly in order to maximize total sales revenue.
Transcribed Image Text:A publishing house publishes three weekly magazines-Daily Life, Agriculture Today, and Surf's Up. Publication of one issue of each of the magazines requires the following amounts of production time and paper: Daily Life Agriculture Today Surf's Up Production (hr.) 0.01 0.03 0.02 Paper (lb.) 0.2 0.5 0.3 Each week the publisher has available 120 hours of production time and 3,000 pounds of paper. Total circulation for all three magazines must exceed 5,000 issues per week if the company is to keep its advertisers. The selling price per issue is $2.25 for Daily Life, $4.00 for Agriculture To- day, and $1.50 for Surf's Up. Based on past sales, the publisher knows that the maximum weekly demand for Daily Life is 3,000 issues; for Agriculture Today, 2,000 issues; and for Surf's Up. 6,000 issues. The production manager wants to know the number of issues of each maga- zine to produce weekly in order to maximize total sales revenue.
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,