A manufacturer of fiber glass camper tops for pickup trucks makes a compact model and a regular model. Each compact top requires 5 hours from the fabricating department and 2 hours from the finishing department. Each regular top requires 4 hours from the fabricating department and 3 hours from the finishing department. The maximum labor- hours available per week in the fabricating department and the finishing department are 200 and 108, respectively. If the company makes a profit of $40 on each compact top and $50 on each regular top, how many tops of each type should be manufactured each week to maximize the total weekly profit, assuming all tops can be sold? What is the maximum profit? Use the Simplex Method in the Linear Programming Model

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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A manufacturer of fiber glass camper tops for pickup
trucks makes a compact model and a regular model.
Each compact top requires 5 hours from the
fabricating department and 2 hours from the
finishing department. Each regular top requires 4
hours from the fabricating department and 3 hours
from the finishing department. The maximum labor-
hours available per week in the fabricating
department and the finishing department are 200
and 108, respectively. If the company makes a profit
of $40 on each compact top and $50 on each regular
top, how many tops of each type should be
manufactured each week to maximize the total
weekly profit, assuming all tops can be sold? What is
the maximum profit? Use the Simplex Method in the
Linear Programming Model
Transcribed Image Text:A manufacturer of fiber glass camper tops for pickup trucks makes a compact model and a regular model. Each compact top requires 5 hours from the fabricating department and 2 hours from the finishing department. Each regular top requires 4 hours from the fabricating department and 3 hours from the finishing department. The maximum labor- hours available per week in the fabricating department and the finishing department are 200 and 108, respectively. If the company makes a profit of $40 on each compact top and $50 on each regular top, how many tops of each type should be manufactured each week to maximize the total weekly profit, assuming all tops can be sold? What is the maximum profit? Use the Simplex Method in the Linear Programming Model
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