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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Author:Steven A. Greenlaw; David Shapiro
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Chapter7: Production, Costs, And Industry Structure
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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?
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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