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: Production (hr.) Paper (lb.) Daily Life 0.01 0.2 Agriculture Today Surf's Up 0.03 0.5 0.02 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. The total number of decision variables in this problem is: 4523 0000

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.EA: Extended Application Estimating Depletion Dates For Minerals
Problem 4EA
Question

please answer in text form and in proper format answer with must explanation , calculation for each part and steps clearly

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:
Production (hr.)
Paper (lb.)
Daily Life
0.01
0.2
Agriculture Today
Surf's Up
0.03
0.5
0.02
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.
The total number of decision variables in this problem is:
4523
0000
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: Production (hr.) Paper (lb.) Daily Life 0.01 0.2 Agriculture Today Surf's Up 0.03 0.5 0.02 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. The total number of decision variables in this problem is: 4523 0000
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