3-4) How many pounds of beans will Taco Loco have left over if they produce the optimal quantity of products X, Y, and Z? A) 28.73 B) 39.27 C) 0 D) 1E + 30 3-5) What is the increase in revenue if Taco Loco purchases 20 pounds of cheese for $1 and uses it optimally? A) $0 B) $9.09 C) $29.00  D) $158.18

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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3-4) How many pounds of beans will Taco Loco have left over if they produce the optimal quantity of products X, Y, and Z?

A) 28.73

B) 39.27

C) 0

D) 1E + 30

3-5) What is the increase in revenue if Taco Loco purchases 20 pounds of cheese for $1 and uses it optimally?

A) $0

B) $9.09

C) $29.00 

D) $158.18



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
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:
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