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You work for the Brad's Nailer Company which manufactures two types of nailers: a pneumatic model and a cordless model. You have contracted to supply a national retail chain with both pneumatic nailers and cordless nailers. However, Brad's nailer production capability is limited in three departments: production, testing, and packaging. Your answer will be the production costs needed to execute your production plan rounded to the nearest whole dollar. (The number of nailers may not be a whole number, which is acceptable in this chapter.) Use Scenario 3

College Algebra (MindTap Course List)

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.8: Linear Programming

Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...

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Question

You work for the Brad's Nailer Company which manufactures two types of nailers: a
pneumatic model and a cordless model. You have contracted to supply a national
retail chain with both pneumatic nailers and cordless nailers. However, Brad's nailer
production capability is limited in three departments: production, testing, and
packaging.
Your answer will be the production costs needed to execute your production plan
rounded to the nearest whole dollar. (The number of nailers may not be a whole
number, which is acceptable in this chapter.)
Use Scenario 3

Use Scenario 3
Scenario 1 Scenario 2 Scenario 3
Pneum. Cost
42
55.50
38.50
Pneum. Prod Hrs
0.3
0.4
0.25
Pneum. Test Hrs
0.3
0.3
0.4
Pneum. Pkg Hrs
0.1
0.1
0.1
Pneum. Sales
21,000
24,500
18,000
Cordless Cost
67
69.75
44
Cordless Prod Hrs
0.3
0.3
0.4
Cordless Test Hrs
0.4
0.5
0.4
Cordless Pkg Hrs
0.1
0.1
0.2
Cordless Sales
15,000
12,000
14,000
Prod Hrs max
11.000
14,000
14.000
Testing Hrs max
15,000
15,000
15,000
Pkg Hrs max
4,800
4,800
4,800

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If during the following year it is predicted that each comedy skit will generate 30 thousand and each musical number 20 thousand, find the maximum income for the year. A television program director must schedule comedy skits and musical numbers for prime-time variety shows. Each comedy skit requires 2 hours of rehearsal time, costs 3000, and brings in 20,000 from the shows sponsors. Each musical number requires 1 hour of rehearsal time, costs 6000, and generates 12,000. If 250 hours are available for rehearsal and 600,000 is budgeted for comedy and music, how many segments of each type should be produced to maximize income? Find the maximum income.
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