Better Products, Inc., manufactures three products on two machines. In a typical week, 40 hours are available on each machine. The profit contribution and production time in hours per unit are as follows: Category Profit/unit Machine 1 time/unit Machine 2 time/unit Product 1 Product 2 $30 0.5 1.0 hr hr $50 2.0 1.0 Product 3 $20 0.75 Two operators are required for machine 1-thus, 2 hours of labor must be scheduled for each hour of machine 1 time. Only one operator is required for machine 2. A maximum of 100 labor-hours is available for assignment to the machines during the coming week. Other production requirements are that product 1 cannot account for more than 50% of the units produced and that product 3 must account for at least 20% of the units produced. (c) What is the value (in $) of an additional hour of labor? $ 0.5 (a) How many units of each product should be produced to maximize the total profit contribution? What is the projected weekly profit (in $) associated with your solution? Product 1 Product 2 Product 3 weekly profit $ (b) How many hours of production time will be scheduled on each machine? machine 1 machine 2

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...
icon
Related questions
Question
100%
Better Products, Inc., manufactures three products on two machines. In a typical week, 40 hours are available on each machine. The profit
contribution and production time in hours per unit are as follows:
Category
Profit/unit
Machine 1 time/unit
Machine 2 time/unit
Product 1 Product 2
$30
0.5
1.0
hr
hr
$50
2.0
1.0
Product 3
$20
0.75
Two operators are required for machine 1-thus, 2 hours of labor must be scheduled for each hour of machine 1 time. Only one operator is
required for machine 2. A maximum of 100 labor-hours is available for assignment to the machines during the coming week. Other
production requirements are that product 1 cannot account for more than 50% of the units produced and that product 3 must account for at
least 20% of the units produced.
(c) What is the value (in $) of an additional hour of labor?
0.5
(a) How many units of each product should be produced to maximize the total profit contribution? What is the projected weekly profit (in
$) associated with your solution?
Product 1
Product 2
Product 3
weekly profit
(b) How many hours of production time will be scheduled on each machine?
machine 1
machine 2
Transcribed Image Text:Better Products, Inc., manufactures three products on two machines. In a typical week, 40 hours are available on each machine. The profit contribution and production time in hours per unit are as follows: Category Profit/unit Machine 1 time/unit Machine 2 time/unit Product 1 Product 2 $30 0.5 1.0 hr hr $50 2.0 1.0 Product 3 $20 0.75 Two operators are required for machine 1-thus, 2 hours of labor must be scheduled for each hour of machine 1 time. Only one operator is required for machine 2. A maximum of 100 labor-hours is available for assignment to the machines during the coming week. Other production requirements are that product 1 cannot account for more than 50% of the units produced and that product 3 must account for at least 20% of the units produced. (c) What is the value (in $) of an additional hour of labor? 0.5 (a) How many units of each product should be produced to maximize the total profit contribution? What is the projected weekly profit (in $) associated with your solution? Product 1 Product 2 Product 3 weekly profit (b) How many hours of production time will be scheduled on each machine? machine 1 machine 2
(d) Assume that labor capacity can be increased to 160 hours. Develop the optimal product mix and the projected weekly profit (in $),
assuming the extra hours are made available.
Product 1
Product 2
Product 3
weekly profit
Would you be interested in using the additional 60 hours available for this resource?
Yes, the weekly profit would be increased.
No, the weekly profit would be decreased.
Transcribed Image Text:(d) Assume that labor capacity can be increased to 160 hours. Develop the optimal product mix and the projected weekly profit (in $), assuming the extra hours are made available. Product 1 Product 2 Product 3 weekly profit Would you be interested in using the additional 60 hours available for this resource? Yes, the weekly profit would be increased. No, the weekly profit would be decreased.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 6 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Business in Action
Business in Action
Operations Management
ISBN:
9780135198100
Author:
BOVEE
Publisher:
PEARSON CO
Purchasing and Supply Chain Management
Purchasing and Supply Chain Management
Operations Management
ISBN:
9781285869681
Author:
Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:
Cengage Learning
Production and Operations Analysis, Seventh Editi…
Production and Operations Analysis, Seventh Editi…
Operations Management
ISBN:
9781478623069
Author:
Steven Nahmias, Tava Lennon Olsen
Publisher:
Waveland Press, Inc.