PROBLEM A Kelson Sporting Equipment, Inc. makes two different types of baseball gloves: a regular model and a catcher's model. The firm has 900 hours of production time available in the cutting and sewing department, 300 hours available in the finishing department, and 100 hours available in its packaging and shipping department. The production time requirements and the profit contribution per glove are given following table: the Model Production Time (Hours) Profit/Glove Cutting & Sewing Packaging & Shipping Finishing Regular Model 1 1/2 1/8 P5 Catcher's Model 3/2 1/3 1/4 P8 Assuming that the company is interested in maximizing the total profit contribution, answer the following requirements: 1. Develop the objective and constraints functions 2. Plot in a graph the constraint functions and identify the feasible region. 3. Find the optimal solution. How many gloves of each model should Kelson produce? 4. What is the total profit contribution that Kelson can earn with the given production quantities?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
Problem 46P
icon
Related questions
Question
PROBLEM A
Kelson Sporting Equipment, Inc. makes two different types of baseball gloves: a
regular model and a catcher's model. The firm has 900 hours of production time
available in the cutting and sewing department, 300 hours available in the finishing
department, and 100 hours available in its packaging and shipping department. The
production time requirements and the profit contribution per glove are given in the
following table:
Profit/Glove
Model
Production Time (Hours)
Cutting &
Sewing
Packaging
& Shipping
Finishing
1
1/2
1/8
P5
Regular Model
3/2
1/3
1/4
P8
Catcher's Model
Assuming that the company is interested in maximizing the total profit contribution,
answer the following requirements:
1. Develop the objective and constraints functions
2. Plot in a graph the constraint functions and identify the feasible region.
3. Find the optimal solution. How many gloves of each model should Kelson
produce?
4. What is the total profit contribution that Kelson can earn with the given
production quantities?
Transcribed Image Text:PROBLEM A Kelson Sporting Equipment, Inc. makes two different types of baseball gloves: a regular model and a catcher's model. The firm has 900 hours of production time available in the cutting and sewing department, 300 hours available in the finishing department, and 100 hours available in its packaging and shipping department. The production time requirements and the profit contribution per glove are given in the following table: Profit/Glove Model Production Time (Hours) Cutting & Sewing Packaging & Shipping Finishing 1 1/2 1/8 P5 Regular Model 3/2 1/3 1/4 P8 Catcher's Model Assuming that the company is interested in maximizing the total profit contribution, answer the following requirements: 1. Develop the objective and constraints functions 2. Plot in a graph the constraint functions and identify the feasible region. 3. Find the optimal solution. How many gloves of each model should Kelson produce? 4. What is the total profit contribution that Kelson can earn with the given production quantities?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 5 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,
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
Marketing
Marketing
Marketing
ISBN:
9780357033791
Author:
Pride, William M
Publisher:
South Western Educational Publishing