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Bibbins Manufacturing produces softballs and baseballs for youth recreation leagues. Each softball sells for $21, while each...

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General Management

Bibbins Manufacturing producessoftballs and baseballs for youth recreation leagues. Each softballsells for $21, while each baseball sells for $24. The material andlabor required to produce each item is listed here along with theavailability of each resource. Formulate and solve the mathprogramming model to determine the mix of products to make whichwill maximize profit while making sure each product comprises noless than 1/3 of the total unit production. In reading yoursolution state which of the resources below you have in excess overwhat is needed for the optimal mix of softballs and baseballs.

Resource

Amount Required For

Amount Available

Cost

Softball

Baseball

Leather

5 oz.

4 oz.

325 lbs.

$6/lb.

Nylon

6 yds.

3 yds.

5,400 yds.

$15/100 yds.

Core

4 oz.

2 oz.

250 lbs.

$9/lb.

General Labor

2.5 min.

2 min.

20 hours

$10/hr.

Stitching Labor

5 min.

4 min.

50 hours

$18/hr.

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