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You work for the Brad's Nailer Company which manufactures three types of nailers: a pneumatic model, the "ProLine", and a cordless model. You have contracted to supply a national retail chain with all three models of nailers. However, Brad's nailer production capability is limited in three departments: production, testing, and packaging. The goal is to maximize your revenue. Your answer will be the number packaging hours to be produced (The number of nailers must be a whole number.) Use Scenario 2

You work for the Brad's Nailer Company which manufactures three types of nailers: a pneumatic model, the "ProLine", and a cordless model. You have contracted to supply a national retail chain with all three models of nailers. However, Brad's nailer production capability is limited in three departments: production, testing, and packaging. The goal is to maximize your revenue. Your answer will be the number packaging hours to be produced (The number of nailers must be a whole number.) Use Scenario 2

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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Three types of nailers. Answer will be number of packaging hours. Please explain using excel solver simplex lp. Thank you
You work for the Brad's Nailer Company which manufactures three types of nailers: a pneumatic model, the "ProLine", and a cordless model. You have contracted to supply a national retail chain with all three models of nailers. However, Brad's nailer production capability is limited in three departments: production, testing, and packaging. The goal is to maximize your revenue. Your answer will be the number packaging hours to be produced (The number of nailers must be a whole number.) Use Scenario 2
Transcribed Image Text:You work for the Brad's Nailer Company which manufactures three types of nailers: a pneumatic model, the "ProLine", and a cordless model. You have contracted to supply a national retail chain with all three models of nailers. However, Brad's nailer production capability is limited in three departments: production, testing, and packaging. The goal is to maximize your revenue. Your answer will be the number packaging hours to be produced (The number of nailers must be a whole number.) Use Scenario 2
Use Scenario 2 Scenario 1 Scenario 2 Scenario 3 Pneum. Sales Price 46 59.99 38.79 Pneum. Prod Hrs 0.35 0.4 0.25 Pneum. Pkg Hrs 0.25 0.2 0.1 Pneum. Sales 21,000 20,000 18,000 ProLine Sales Price 72 79.95 69.95 ProLine Prod Hrs 0.4 0.4 0.4 ProLine Pkg Hrs 0.2 О.2 0.1 ProLine Sales 1,500 1,250 5,750 Cordless Sales 59 64.95 59.50 Price Cordless Prod Hrs 0.25 0.2 0.3 Cordless Pkg Hrs 0.1 0.2 0.1 Cordless Sales 15,000 12,000 12,000 Prod Hrs max 24,500 14,000 14,000 Pkg Hrs max 4,800 9.000 9.000
Transcribed Image Text:Use Scenario 2 Scenario 1 Scenario 2 Scenario 3 Pneum. Sales Price 46 59.99 38.79 Pneum. Prod Hrs 0.35 0.4 0.25 Pneum. Pkg Hrs 0.25 0.2 0.1 Pneum. Sales 21,000 20,000 18,000 ProLine Sales Price 72 79.95 69.95 ProLine Prod Hrs 0.4 0.4 0.4 ProLine Pkg Hrs 0.2 О.2 0.1 ProLine Sales 1,500 1,250 5,750 Cordless Sales 59 64.95 59.50 Price Cordless Prod Hrs 0.25 0.2 0.3 Cordless Pkg Hrs 0.1 0.2 0.1 Cordless Sales 15,000 12,000 12,000 Prod Hrs max 24,500 14,000 14,000 Pkg Hrs max 4,800 9.000 9.000
Expert Solution
Step 1: Decision variables and LP formulation

X = Units of Pneum to be produced

Y = Units of ProLine to be produced

Z = Units of Cordless to be produced

Objective function:

Max Z = 59.99X+79.95Y+64.95Z

Constraints:

1. Production hrs.: 0.4X+0.4Y+0.2Z≤140002. Pkg hrs: 0.2X+0.2Y+0.2Z≤90003. Pneum. Sales: X≥200004. ProLine sales: Y≥12505. Cordless sales: Z≥12000

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