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 If X, = number of softballs to produce, X, = number of baseballs to produce, what is the objective function? MAX 6 X, + 4.5 X2 MIN 6 X, + 4 X2 МАХ 11 X, + 17 X2 МАХ 2.5 Х,+ 6 X2

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter61: Areas Of Circles, Sectors, And Segments
Section: Chapter Questions
Problem 50A
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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
If X, = number of softballs to produce, X, = number of baseballs to produce, what is the objective function?
МАХ 6 X, +4.5 X2
MIN 6X, + 4 X2
МАX
11 X, + 17 X2
МAX
2.5 X, + 6 X2
Transcribed Image Text: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 If X, = number of softballs to produce, X, = number of baseballs to produce, what is the objective function? МАХ 6 X, +4.5 X2 MIN 6X, + 4 X2 МАX 11 X, + 17 X2 МAX 2.5 X, + 6 X2
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