3-2) The optimal quantity of the three products and resulting revenue for Taco Loco is: A) 28 beef, 80 cheese, and 39.27 beans for $147.27. B) 10.22 beef, 5.33 cheese, and 28.73 beans for $147.27. C) 1.45 Z, 8.36 Y, and 0 Z for $129.09. D) 14 Z, 13 Y, and 17 X for $9.81. 3-3) Taco Loco is unsure whether the amount of beef that their computer thinks is in inventory is correct. What is the range in values for beef inventory that would not affect the optimal product mix? A) 26 to 38.22 pounds B) 27.55 to 28.45 pounds C) 17.78 to 30 pounds D) 12.22 to 28 pounds

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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3-2) The optimal quantity of the three products and resulting revenue for Taco Loco is:

A) 28 beef, 80 cheese, and 39.27 beans for $147.27.

B) 10.22 beef, 5.33 cheese, and 28.73 beans for $147.27.

C) 1.45 Z, 8.36 Y, and 0 Z for $129.09.

D) 14 Z, 13 Y, and 17 X for $9.81.

3-3) Taco Loco is unsure whether the amount of beef that their computer thinks is in inventory is correct. What is the range in values for beef inventory that would not affect the optimal product mix?

A) 26 to 38.22 pounds

B) 27.55 to 28.45 pounds

C) 17.78 to 30 pounds

D) 12.22 to 28 pounds



Тасо Loco
Taco Loco is considering a new addition to their menu. They have test marketed a number of
possibilities and narrowed them down to three new products, X, Y, and Z. Each of these products
is made from a different combination of beef, beans, and cheese, and each product has a price
point. Taco Loco feels they can sell an X for $17, a Y for $13, and a Z for $14. The company's
management science consultant formulates the following linear programming model for
company management.
Max R = 14Z+ 13Y + 17X
%3D
subject to:
Beef 2Z + 3Y + 4X< 28
Cheese 9Z + 8Y+11X<80
Beans 4Z +4Y + 2X < 68
X,Y,Z >0
The sensitivity report from the computer model reads as follows:
Transcribed Image Text:Тасо Loco Taco Loco is considering a new addition to their menu. They have test marketed a number of possibilities and narrowed them down to three new products, X, Y, and Z. Each of these products is made from a different combination of beef, beans, and cheese, and each product has a price point. Taco Loco feels they can sell an X for $17, a Y for $13, and a Z for $14. The company's management science consultant formulates the following linear programming model for company management. Max R = 14Z+ 13Y + 17X %3D subject to: Beef 2Z + 3Y + 4X< 28 Cheese 9Z + 8Y+11X<80 Beans 4Z +4Y + 2X < 68 X,Y,Z >0 The sensitivity report from the computer model reads as follows:
Variable Cells
Final
Reduced
Objective Allowable
Allowable
Cell
Name
Value
Cost
Coefficient Increase
Decrease
SC$4
1.45
14
0.63
5.33
$D$4
Y
8.36
13
8
0.56
SES4
-0.818
17
0.818
1E+30
Constraints
Final
Shadow
Constraint Allowable
Allowable
Cell
Name
Value
Price
R.H. Side
Increase
Decrease
$F$6
Beef
28
0.45
28
10.22
SF$7
Cheese
80
1.45
80
46
5.33
$F$8
Beans
39.27
68
1E+30
28.73
Transcribed Image Text:Variable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease SC$4 1.45 14 0.63 5.33 $D$4 Y 8.36 13 8 0.56 SES4 -0.818 17 0.818 1E+30 Constraints Final Shadow Constraint Allowable Allowable Cell Name Value Price R.H. Side Increase Decrease $F$6 Beef 28 0.45 28 10.22 SF$7 Cheese 80 1.45 80 46 5.33 $F$8 Beans 39.27 68 1E+30 28.73
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