If the firm's profit margin for SUV tires changed from $22/tire to $20/tire what would be the new optimal profit?

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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Robin Tires, Inc. makes two types of tires, one for SUVs and the other for Hatchbacks. The firm has the following limits-500 hours for production, 250 hours for packaging, and 150 hours for shipping. The times required per tire type is
given in the following table.
Type
Hatchback
tires
ISUV Tires 12
Cell
$B$11
$C$11
Constraints
O
Productio
In
Hours
Cell
A. 200
1.5
Packaging
Hours
1.5
1
Shipping
Hours
1
Here's the sensitivity report of this optimization (profit maximization) problem from Excel Solver:
Variable Cells
0.5
Name
Number of tires SUV
Number of tires HatchBacks
Final
Value
Profit/Tir
IS12
100
100
e
Final
Value
350
250
150
$22
Reduced Objective
Cost Coefficient
0
0
Shadow Constraint
Price R.H. Side
Name
Production Time used
$B$15
500
250
$B$16
Packaging Time used
$B$17
Shipping Time used
150 16.66666667
If the firm's profit margin for SUV tires changed from $22/tire to $20/tire, what would be the new optimal profit?
0
4
16
Allowable Allowable
Increase Decrease
2
OB. The optimization problem needs to be re-solved to get the new optimal profit.
O c. 3200
O D. 2000
O E 3400
22
12 2.666666667
4
1
Allowable Allowable
Increase Decrease
1E+30
50
150
25
25
Transcribed Image Text:Robin Tires, Inc. makes two types of tires, one for SUVs and the other for Hatchbacks. The firm has the following limits-500 hours for production, 250 hours for packaging, and 150 hours for shipping. The times required per tire type is given in the following table. Type Hatchback tires ISUV Tires 12 Cell $B$11 $C$11 Constraints O Productio In Hours Cell A. 200 1.5 Packaging Hours 1.5 1 Shipping Hours 1 Here's the sensitivity report of this optimization (profit maximization) problem from Excel Solver: Variable Cells 0.5 Name Number of tires SUV Number of tires HatchBacks Final Value Profit/Tir IS12 100 100 e Final Value 350 250 150 $22 Reduced Objective Cost Coefficient 0 0 Shadow Constraint Price R.H. Side Name Production Time used $B$15 500 250 $B$16 Packaging Time used $B$17 Shipping Time used 150 16.66666667 If the firm's profit margin for SUV tires changed from $22/tire to $20/tire, what would be the new optimal profit? 0 4 16 Allowable Allowable Increase Decrease 2 OB. The optimization problem needs to be re-solved to get the new optimal profit. O c. 3200 O D. 2000 O E 3400 22 12 2.666666667 4 1 Allowable Allowable Increase Decrease 1E+30 50 150 25 25
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