Brbbins 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 Nylon Core 5 oz 6 yds 4 oz 2.5 min 4 oz 3 yds 2 oz 6,000 oz 5,400 yds 4,000 oz 3,500 min 1,500 min Labor 2 min Stitching 1 min 1 min a. Formulate an LP model for this problem. b. Sketch the feasible region. c. What is the optimal solution?

Principles of Economics 2e
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ISBN:9781947172364
Author:Steven A. Greenlaw; David Shapiro
Publisher:Steven A. Greenlaw; David Shapiro
Chapter7: Production, Costs, And Industry Structure
Section: Chapter Questions
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13. Bibbins Manufacturing produces softball and baseballs for youth recreation leagues.
Each softball costs $11 to produce and sells for S17 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
Nylon
Core
5 oz
6 yds
4 oz
2.5 min
1 min
6,000 oz
5,400 yds
4,000 oz
3,500 min
1,500 min
4 oz
3 yds
2 oz
Labor
2 min
Stitching
1 min
a. Formulate an LP model for this problem.
b. Sketch the feasible region.
c. What is the optimal solution?
Transcribed Image Text:13. Bibbins Manufacturing produces softball and baseballs for youth recreation leagues. Each softball costs $11 to produce and sells for S17 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 Nylon Core 5 oz 6 yds 4 oz 2.5 min 1 min 6,000 oz 5,400 yds 4,000 oz 3,500 min 1,500 min 4 oz 3 yds 2 oz Labor 2 min Stitching 1 min a. Formulate an LP model for this problem. b. Sketch the feasible region. c. What is the optimal solution?
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