Use the following problem statement to answer questions 1-6. Gale wants to determine the values of X1 and X2 to maximize total profit. The two types of biscuits require the following resources: sausage, ham, flour, and labor. The linear model and the sensitivity report are given as below. Round to two decimal places. XI no. of sausage biscuits X2 no. of ham biscuits Max Z-50X1+20X2 CI: X1 +2X2 ≤ 50. Sausage (lb.) C2: 4X1 +4X2 ≤90. Ham (lb.) C3: 2X1 + X2 ≤ 30. Flour (lb.) C4: X1 + X2 ≤ 20. Labor (hr.) CS: X1, X220 Variable Cells Final Cell Name Value $B$3 X1 $C$3 X2 Constraints 15 0 Final Cell Name Value $M$6 C1 SMS7 C2 $M$8 C3 $M$9 C4 15 60 30 15 Reduced Objective Allowable Allowable Cost Coefficient Increase Decrease 1E+30 5 0 -5 Shadow Price 0 0 25 0 50 20 Constraint R.H. Side 50 90 30 20 10 1E+30 Allowable Allowable Increase Decrease 1E+30 1E+30 10 1E+30 35 30 30 5

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 3
If he can obtain additional ham and flour, but not both, which one should he select?
O ham
O flour
Question 4
By how much would total profit increase if he could increase the amount of flour from 30 to 35
pounds in C3?
O 125
O 10
Question
Gale thinks that the profit contribution of Product 2 is too low to make profit. By how much would
the profit contribution of Product 2 have to change to make it worthwhile to produce Product 2?
05
00
Question 6
By how much would total profit increase if he could obtain additional two hours of labor in C4?
00
O 30
Transcribed Image Text:Question 3 If he can obtain additional ham and flour, but not both, which one should he select? O ham O flour Question 4 By how much would total profit increase if he could increase the amount of flour from 30 to 35 pounds in C3? O 125 O 10 Question Gale thinks that the profit contribution of Product 2 is too low to make profit. By how much would the profit contribution of Product 2 have to change to make it worthwhile to produce Product 2? 05 00 Question 6 By how much would total profit increase if he could obtain additional two hours of labor in C4? 00 O 30
Question 1
Use the following problem statement to answer questions 1-6.
Gale wants to determine the values of X1 and X2 to maximize total profit. The two types of biscuits
require the following resources: sausage, ham, flour, and labor. The linear model and the sensitivity
report are given as below. Round to two decimal places.
XI no. of sausage
biscuits
X2 no. of ham biscuits
Max Z-50X1+ 20X2
C1: X1 + 2X2 ≤50.
Sausage (lb.)
C2: 4X1 +4X2 ≤90.
Ham (lb.)
C3: 2X1 + X2 ≤ 30. Flour
(lb.)
C4: X1 + X2 ≤ 20. Labor
(hr.)
C5: X1, X220
O flour
O labor
O Question 2
Variable Cells
O 100
00
Cell Name Value
$B$3 X1
SC$3 X2
Final Reduced Objective Allowable Allowable
Cost
Coefficient Increase Decrease
1E+30
5
Constraints
15
0
Final Shadow
Price
Cell Name Value
$M$6 C1
$M$7 C2
$M$8 C3
$M$9 C4
0
-5
15
60
30
15
0
0
25
0
50
20
Which additional resource would you recommend that Gale try to obtain?
Constraint Allowable Allowable
R.H. Side
Increase
Decrease
50
90
30
20
1E+30
1E+30
10
10
1E+30
1E+30
By how much would total profit increase if he could increase the amount of ham from 90 to 93
pounds in C2?
35
30
30
5
Transcribed Image Text:Question 1 Use the following problem statement to answer questions 1-6. Gale wants to determine the values of X1 and X2 to maximize total profit. The two types of biscuits require the following resources: sausage, ham, flour, and labor. The linear model and the sensitivity report are given as below. Round to two decimal places. XI no. of sausage biscuits X2 no. of ham biscuits Max Z-50X1+ 20X2 C1: X1 + 2X2 ≤50. Sausage (lb.) C2: 4X1 +4X2 ≤90. Ham (lb.) C3: 2X1 + X2 ≤ 30. Flour (lb.) C4: X1 + X2 ≤ 20. Labor (hr.) C5: X1, X220 O flour O labor O Question 2 Variable Cells O 100 00 Cell Name Value $B$3 X1 SC$3 X2 Final Reduced Objective Allowable Allowable Cost Coefficient Increase Decrease 1E+30 5 Constraints 15 0 Final Shadow Price Cell Name Value $M$6 C1 $M$7 C2 $M$8 C3 $M$9 C4 0 -5 15 60 30 15 0 0 25 0 50 20 Which additional resource would you recommend that Gale try to obtain? Constraint Allowable Allowable R.H. Side Increase Decrease 50 90 30 20 1E+30 1E+30 10 10 1E+30 1E+30 By how much would total profit increase if he could increase the amount of ham from 90 to 93 pounds in C2? 35 30 30 5
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