1. Construct the general linear programming problem with the objective function and all constraints. Do not solve! ABC company makes two types of Frisbees, red and blue. Red Frisbees sell for $10 and blue Frisbees sell for 8$. ABC anticipates the total demand for Frisbees to be at least 10,000 for the month. It takes $3 in materials for each red Frisbee and $2 in materials for each blue Frisbee. There is $30,000 available for material costs per month. It takes 1 hour to manufacture a red Frisbee and 1/2 hour to manufacture a blue Frisbee. There are a total of 40,000 man hours per month. ABC wishes to find how many red and how many blue Frisbees should be produced to produce a maximum revenue.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 33E
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1. Construct the general linear programming problem with the objective function and all constraints. Do
not solve!
ABC company makes two types of Frisbees, red and blue. Red Frisbees sell for $10 and blue Frisbees sell
for 8$. ABC anticipates the total demand for Frisbees to be at least 10,000 for the month. It takes $3 in
materials for each red Frisbee and $2 in materials for each blue Frisbee. There is $30,000 available for
material costs per month. It takes 1 hour to manufacture a red Frisbee and 1/2 hour to manufacture a
blue Frisbee. There are a total of 40,000 man hours per month. ABC wishes to find how many red and
how many blue Frisbees should be produced to produce a maximum revenue.
Transcribed Image Text:1. Construct the general linear programming problem with the objective function and all constraints. Do not solve! ABC company makes two types of Frisbees, red and blue. Red Frisbees sell for $10 and blue Frisbees sell for 8$. ABC anticipates the total demand for Frisbees to be at least 10,000 for the month. It takes $3 in materials for each red Frisbee and $2 in materials for each blue Frisbee. There is $30,000 available for material costs per month. It takes 1 hour to manufacture a red Frisbee and 1/2 hour to manufacture a blue Frisbee. There are a total of 40,000 man hours per month. ABC wishes to find how many red and how many blue Frisbees should be produced to produce a maximum revenue.
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