Par, Inc., produces a standard golf bag and a deluxe golf bag on a weekly basis. Each golf bag requires time for cutting and dyeing and time for sewing and finishing, as shown in the following table: Product Standard Bag Deluxe Bag Hours Required per Bag Cutting and Dyeing 1/2 1 Objective function: The profits per bag and weekly hours available for cutting and dyeing and for sewing and finishing are as follows: Product Standard Bag Deluxe Bag Sewing and Finishing 1 2/3 S number of standard bags produced / week D number of deluxe bags produced / week Z-s+D Profit per Unit ($) $15 $8 Activity Weekly Hours Available Cutting and Dyeing 270 Sewing and Finishing 360 Par Inc., will sell whatever quantities it produces of these two products. The aim of the objective function for Par Inc., should be to Decision variables: the objective value. 800- 700- 600- 500- 400- 300- fot 200- 100- C2 0+ 0 . 100 X 200 300 400 S 500 600 700 800 Q Q

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Par, Inc., produces a standard golf bag and a deluxe golf
bag on a weekly basis. Each golf bag requires time for cutting and dyeing and time for sewing
and finishing, as shown in the following table:
Product
Standard Bag
Deluxe Bag
Decision variables:
Hours Required per Bag
Cutting and
Dyeing
1/2
1
The profits per bag and weekly hours available for cutting and dyeing and for sewing and
finishing are as follows:
Objective function:
Product Profit per Unit ($)
$15
$8
Standard Bag
Deluxe Bag
Sewing and
Finishing
1
2/3
Activity
Cutting and Dyeing
Sewing and Finishing
Par Inc., will sell whatever quantities it produces of these two products.
The aim of the objective function for Par Inc., should be to
S = number of standard bags produced / week
D = number of deluxe bags produced / week
Z=s+D
Weekly Hours Available
270
360
the objective value.
C
800-
700-
600-
500-02
400-
300-
200-
100-
C1
0+
0
100 200
300
400 500 600
S
700
800
Q
Transcribed Image Text:Par, Inc., produces a standard golf bag and a deluxe golf bag on a weekly basis. Each golf bag requires time for cutting and dyeing and time for sewing and finishing, as shown in the following table: Product Standard Bag Deluxe Bag Decision variables: Hours Required per Bag Cutting and Dyeing 1/2 1 The profits per bag and weekly hours available for cutting and dyeing and for sewing and finishing are as follows: Objective function: Product Profit per Unit ($) $15 $8 Standard Bag Deluxe Bag Sewing and Finishing 1 2/3 Activity Cutting and Dyeing Sewing and Finishing Par Inc., will sell whatever quantities it produces of these two products. The aim of the objective function for Par Inc., should be to S = number of standard bags produced / week D = number of deluxe bags produced / week Z=s+D Weekly Hours Available 270 360 the objective value. C 800- 700- 600- 500-02 400- 300- 200- 100- C1 0+ 0 100 200 300 400 500 600 S 700 800 Q
Decision variables:
Activity
Weekly Hours Available
Cutting and Dyeing
270
360
Sewing and Finishing
Par Inc., will sell whatever quantities it produces of these two products.
The aim of the objective function for Par Inc., should be to
Deluxe Bag
S = number of standard bags produced / week
D = number of deluxe bags produced / week
Z= s+D
Objective function:
Subject to:
(1/2)S+1D
1S+ (2/3)D
$8
270
(C₁)
360 (C₂)
the objective value.
Maximize
Minimize
S, D 20
On the graph on right, constraints C, and C₂ have been plotted.
Using the point drawing tool, plot all the corner points for the feasible area.
a) The optimum solution is:
S=
(enter your response as a whole number).
D=
(enter your response as a whole number).
b) Optimal solution value 'Z' = (enter your response as a whole number).
800-
700-
600-
500-02
400-
300-
fot
200-
100-
0+
0
.
100
200 300 400
S
500 600
700
800
Q
Transcribed Image Text:Decision variables: Activity Weekly Hours Available Cutting and Dyeing 270 360 Sewing and Finishing Par Inc., will sell whatever quantities it produces of these two products. The aim of the objective function for Par Inc., should be to Deluxe Bag S = number of standard bags produced / week D = number of deluxe bags produced / week Z= s+D Objective function: Subject to: (1/2)S+1D 1S+ (2/3)D $8 270 (C₁) 360 (C₂) the objective value. Maximize Minimize S, D 20 On the graph on right, constraints C, and C₂ have been plotted. Using the point drawing tool, plot all the corner points for the feasible area. a) The optimum solution is: S= (enter your response as a whole number). D= (enter your response as a whole number). b) Optimal solution value 'Z' = (enter your response as a whole number). 800- 700- 600- 500-02 400- 300- fot 200- 100- 0+ 0 . 100 200 300 400 S 500 600 700 800 Q
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