13. Bibbins Manufacturing produces softball and baseballs for youth recreation leagues. Each softball costs $11 to produce and sells for $17 while each baseball costs $10.50 and sells for $15. The material and labor required to produce each item is listed here along with the availability of each resource. Amount Required Per Amount Resource Softball Baseball Available Leather 5 oz 4 oz 6,000 oz Nylon 6 yds 3 yds 5,400 yds Core 4 oz 2 oz 4,000 oz Labor 2.5 min 2 min 3,500 min Stitching 1 min 1 min 1,500 min a. Formulate an LP model for this problem. b. Sketch the feasible region. c. What is the optimal solution?
13. Bibbins Manufacturing produces softball and baseballs for youth recreation leagues. Each softball costs $11 to produce and sells for $17 while each baseball costs $10.50 and sells for $15. The material and labor required to produce each item is listed here along with the availability of each resource. Amount Required Per Amount Resource Softball Baseball Available Leather 5 oz 4 oz 6,000 oz Nylon 6 yds 3 yds 5,400 yds Core 4 oz 2 oz 4,000 oz Labor 2.5 min 2 min 3,500 min Stitching 1 min 1 min 1,500 min a. Formulate an LP model for this problem. b. Sketch the feasible region. c. What is the optimal solution?
Principles of Economics 2e
2nd Edition
ISBN:9781947172364
Author:Steven A. Greenlaw; David Shapiro
Publisher:Steven A. Greenlaw; David Shapiro
Chapter7: Production, Costs, And Industry Structure
Section: Chapter Questions
Problem 42P: A small company that shovels sidewalks and driveways has 100 homes signed up for its services this...
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Transcribed Image Text:13. Bibbins Manufacturing produces softball and baseballs for youth recreation leagues.
Each softball costs $11 to produce and sells for $17 while each baseball costs $10.50
and sells for $15. The material and labor required to produce each item is listed here
along with the availability of each resource.
Amount Required Per
Amount
Resource
Softball
Baseball
Available
Leather
5 oz
4 oz
6,000 oz
Nylon
6 yds
3 yds
5,400 yds
Core
4 oz
2 oz
4,000 oz
Labor
2.5 min
2 min
3,500 min
Stitching
1 min
1 min
1,500 min
a. Formulate an LP model for this problem.
b. Sketch the feasible region.
c. What is the optimal solution?
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