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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 testing hours needed to execute your production plan - rounded to the nearest whole hour. (The number of nailers must be a whole number.) Use Scenario 3 Scenario 1 Scenario 2 Scenario 3 Pneum. Cost 69.14 55.50 38.50 Pneum. Prod Hrs 0.75 0.6 0.35 Pneum. Test Hrs 0.4 0.35 0.4 Pneum. Pkg Hrs 0.1 0.2 0.1 Pneum. Sales 7,800 24,500 18.000 Cordless Cost 74.45 69.75 44 Cordless Prod Hrs 0.8 0.7 0.4 Cordless Test Hrs 0.4 0.4 0.4 Cordless Pkg Hrs 0.15 0.25 0.2 Cordless Sales 10.500 15.500 14.000 Prod Hrs max 20,000 30.000 20.000 Testing Hrs max 9.000 15.000 18.000 Pkg Hrs max 5.000 15.000 5.000

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 testing hours needed to execute your production plan - rounded to the nearest whole hour. (The number of nailers must be a whole number.) Use Scenario 3 Scenario 1 Scenario 2 Scenario 3 Pneum. Cost 69.14 55.50 38.50 Pneum. Prod Hrs 0.75 0.6 0.35 Pneum. Test Hrs 0.4 0.35 0.4 Pneum. Pkg Hrs 0.1 0.2 0.1 Pneum. Sales 7,800 24,500 18.000 Cordless Cost 74.45 69.75 44 Cordless Prod Hrs 0.8 0.7 0.4 Cordless Test Hrs 0.4 0.4 0.4 Cordless Pkg Hrs 0.15 0.25 0.2 Cordless Sales 10.500 15.500 14.000 Prod Hrs max 20,000 30.000 20.000 Testing Hrs max 9.000 15.000 18.000 Pkg Hrs max 5.000 15.000 5.000

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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1... Adidas "Anthem" 0.. Club America FC y... Read 20 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 testing hours needed to execute your production plan - rounded to the nearest whole hour. (The number of nailers must be a whole number.) Use Scenario 3 Scenario 1 Scenario 2 Scenario 3 Pneum. Cost 69.14 55.50 38.50 Pneum. Prod Hrs 0.75 0.6 0.35 Pneum. Test Hrs 0.4 0.35 0.4 Pneum. Pkg Hrs 0.1 0.2 0.1 Pneum. Sales 7.800 24,500 18,000 Cordless Cost 74.45 69.75 44 Cordless Prod Hrs 0.8 0.7 0.4 Cordless Test Hrs 0.4 0.4 0.4 Cordless Pkg Hrs 0.15 0.25 0.2 Cordless Sales 10,500 15.500 14.000 Prod Hrs max 20.000 30.000 20.000 Testing Hrs max 9.000 15.000 18.000 Pkg Hrs max 5.000 15.000 5.000
Transcribed Image Text:1... Adidas "Anthem" 0.. Club America FC y... Read 20 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 testing hours needed to execute your production plan - rounded to the nearest whole hour. (The number of nailers must be a whole number.) Use Scenario 3 Scenario 1 Scenario 2 Scenario 3 Pneum. Cost 69.14 55.50 38.50 Pneum. Prod Hrs 0.75 0.6 0.35 Pneum. Test Hrs 0.4 0.35 0.4 Pneum. Pkg Hrs 0.1 0.2 0.1 Pneum. Sales 7.800 24,500 18,000 Cordless Cost 74.45 69.75 44 Cordless Prod Hrs 0.8 0.7 0.4 Cordless Test Hrs 0.4 0.4 0.4 Cordless Pkg Hrs 0.15 0.25 0.2 Cordless Sales 10,500 15.500 14.000 Prod Hrs max 20.000 30.000 20.000 Testing Hrs max 9.000 15.000 18.000 Pkg Hrs max 5.000 15.000 5.000
Expert Solution
Step 1: Decision variables

P = Pneum. Units to be produced

C = Cordless Units to be produced

Objective function:

Min Z = 38.50P+44C

Constraints:

1. Production hours: 0.35P+0.40C≤20000

2. Test hours: 0.4P+0.4C≤18000

3. Packaging hours: 0.1P+0.2C≤5000

4. Pneum. production: P≥18000

5. Cordless production: C≥14000

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