Assuming that the company is interested in maximizing the total profit contribution , answer t following: a. What is the linear programming model for this problem? b. Find the optimal solution. How many gloves of each model should Kelson manufacture' c. What is the total profit contribution Kelson can earn with the above production quantitie: d. How many hours of production time will be scheduled in each department? e. What is the slack time in each department? f. Discuss the concepts of special case as they occur in each of the following situations:
Assuming that the company is interested in maximizing the total profit contribution , answer t following: a. What is the linear programming model for this problem? b. Find the optimal solution. How many gloves of each model should Kelson manufacture' c. What is the total profit contribution Kelson can earn with the above production quantitie: d. How many hours of production time will be scheduled in each department? e. What is the slack time in each department? f. Discuss the concepts of special case as they occur in each of the following situations:
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![20 | MODULE 3 - Linear Programming: The Graphical Method
NAME:
SCORE:
COURSE/YEAR:
DATE:
3. Kelson Sporting Equipment, Ic., 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 its cutting and
sewing department, 300 hours available in its 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:
Production time (hours)
Packaging &
Shipping
Model
Cutting &
Sewing
Finishing
Profit/Glove
($)
Regular Model
Catcher's Model
Assuming that the company is interested in maximizing the total profit contribution , answer the
following:
What is the linear programming model for this problem?
b. Find the optimal solution. How many gloves of each model should Kelson manufacture?
c. What is the total profit contribution Kelson can earn with the above production quantities?
d. How many hours of production time will be scheduled in each department?
What is the slack time in each department?
Discuss the concepts of special case as they occur in each of the following situations:
1
1/8
5
3/2
1/3
1/4
8
а.
e.
f.
Management has requested that the production of baseball gloves (regular plus
catcher's model) be such that the total number of gloves produced is at least 750.
That is, 1x1 + 1x2 2 750.
The original problem has to be solved again because the profit contribution for the
regular model is adjusted to $4 per glove.
* SOLUTION:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcb34f9d8-904e-462e-b156-c2263c82b423%2F692a23bc-bc3a-4066-ab8f-8e9377f6de87%2Fk5qr8po_processed.jpeg&w=3840&q=75)
Transcribed Image Text:20 | MODULE 3 - Linear Programming: The Graphical Method
NAME:
SCORE:
COURSE/YEAR:
DATE:
3. Kelson Sporting Equipment, Ic., makes two different types of baseball gloves: a regular model
and a catcher's model. The firm has 900 hours of production time available in its cutting and
sewing department, 300 hours available in its finishing department, and 100 hours available in
its packaging and shipping department. The production time requirements and the profit
contribution per glove are given in the following table:
Production time (hours)
Packaging &
Shipping
Model
Cutting &
Sewing
Finishing
Profit/Glove
($)
Regular Model
Catcher's Model
Assuming that the company is interested in maximizing the total profit contribution , answer the
following:
What is the linear programming model for this problem?
b. Find the optimal solution. How many gloves of each model should Kelson manufacture?
c. What is the total profit contribution Kelson can earn with the above production quantities?
d. How many hours of production time will be scheduled in each department?
What is the slack time in each department?
Discuss the concepts of special case as they occur in each of the following situations:
1
1/8
5
3/2
1/3
1/4
8
а.
e.
f.
Management has requested that the production of baseball gloves (regular plus
catcher's model) be such that the total number of gloves produced is at least 750.
That is, 1x1 + 1x2 2 750.
The original problem has to be solved again because the profit contribution for the
regular model is adjusted to $4 per glove.
* SOLUTION:
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