A production manager wants to determine how many units of each product to produce weekly to maximize weekly profits. Production requirements for the products are shown in the following table. TTIT Product Material 1 Material 2 Labor (Ibs.) (Ibs.) 2 (hours) 4 ... A 3 B. 4 C 5 none 3.5 Each week there are 300 pounds of material 1; 400 pounds of material 2; and 200 hours of labor. There is a standing order of 10 units of product C each week. The following table shows the output of POMQM. Variable A Value Reduced Cost Original Val Lower Bound -In finity Upper Boynd 10 10 20 B 82.5 10 5.7143 Infinity 10 10 -Infinity 17.5 Dual Value Slack/Surplus Upper Bound Infinity Constraint Original Val Lower Bound Constraint 1 167.5 300 132.5 Constraint 2 70 400 330 In finity Constraint 3 200 35 235 Constraint 4 -7.5 10 57.1429 Which constraints are binding? A All constraints are binding. B 1 and 2 3 and 4 2 and 3 E 1 and 4

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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Question 40
A production manager wants to determine how many units of each product to produce weekly to maximize weekly
profits. Production requirements for the products are shown in the following table.
TTIT
Product
Material 1 Material 2
Labor
...
(Ibs.)
(Ibs.)
(hours)
A
4
B
1
4
5
none
3.5
Each week there are 300 pounds of material 1; 400 pounds of material 2; and 200 hours of labor. There is a standing order
of 10 units of product C each week.
The following table shows the output of POMQM.
Variable
Value Reduced Cost
Original Val Lower Bound
-In finity
Upper Bound
A
10
10
20
B
82.5
10
5.7143
Infinity
C
10
10
-In finity
17.5
Original Val Lower Bound
300
Constraint
Dual Value Slack/Surplus
Upper Bound
Constraint 1
167.5
In finity
In finity
235
132.5
Constraint 2
70
400
330
Constraint 3
5
200
35
Constraint 4
-7.5
10
57.1429
Which constraints are binding?
A All constraints are binding.
B 1 and 2
3 and 4
D 2 and 3
E) 1 and 4
Transcribed Image Text:Question 40 A production manager wants to determine how many units of each product to produce weekly to maximize weekly profits. Production requirements for the products are shown in the following table. TTIT Product Material 1 Material 2 Labor ... (Ibs.) (Ibs.) (hours) A 4 B 1 4 5 none 3.5 Each week there are 300 pounds of material 1; 400 pounds of material 2; and 200 hours of labor. There is a standing order of 10 units of product C each week. The following table shows the output of POMQM. Variable Value Reduced Cost Original Val Lower Bound -In finity Upper Bound A 10 10 20 B 82.5 10 5.7143 Infinity C 10 10 -In finity 17.5 Original Val Lower Bound 300 Constraint Dual Value Slack/Surplus Upper Bound Constraint 1 167.5 In finity In finity 235 132.5 Constraint 2 70 400 330 Constraint 3 5 200 35 Constraint 4 -7.5 10 57.1429 Which constraints are binding? A All constraints are binding. B 1 and 2 3 and 4 D 2 and 3 E) 1 and 4
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