2.) A publisher produces three magazines: Life of the Day, Farm Monthly, and Surfer's Report. Each magazine requires the following amount of paper and production time: Paper (Ib) Production Time(min) Life of the Day Farm Monthly Surfer's Report 0.03 30 12 0.01 0.02 18 Each month, the company has 3000 hours of production time and 120 pounds of paper available. Total circulation for the three magazines combined must exceed 5000 issues each month. The selling price for Life of the Day is $4.00, for Farm Monthly is $2.25, and for Surfer's Report is $1.50. The maximum demand for the magazines are 2000 issues, 3000 issues, and 6000 issues for Life of the Day, Farm Monthly, and Surfer's Report, respectively. How many of each of the three magazines must the company produce each month to maximize total revenue? Formulate the problem, giving the decision variables, objective function, and constraints. That is, give the mathematical model, using proper format. (Note: You do not have to find the optimal solution!)
2.) A publisher produces three magazines: Life of the Day, Farm Monthly, and Surfer's Report. Each magazine requires the following amount of paper and production time: Paper (Ib) Production Time(min) Life of the Day Farm Monthly Surfer's Report 0.03 30 12 0.01 0.02 18 Each month, the company has 3000 hours of production time and 120 pounds of paper available. Total circulation for the three magazines combined must exceed 5000 issues each month. The selling price for Life of the Day is $4.00, for Farm Monthly is $2.25, and for Surfer's Report is $1.50. The maximum demand for the magazines are 2000 issues, 3000 issues, and 6000 issues for Life of the Day, Farm Monthly, and Surfer's Report, respectively. How many of each of the three magazines must the company produce each month to maximize total revenue? Formulate the problem, giving the decision variables, objective function, and constraints. That is, give the mathematical model, using proper format. (Note: You do not have to find the optimal solution!)
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 27EQ
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