A B 6 Variable Cells 7 8 ܂ ܗ ܣ 9 10 $C$4 Acres allotted Corn 11 12 Constraints 13 14 N Cell Name $B$4 Acres allotted Soybean C 10 Cell Name 15 $D$2 Workers Amt used 16 $D$3 Fertilizer Amt used 17 $D$4 Acres allotted Amt used 2500 3100 166.67 1166.67 D Final Value 166.6666667 1166.666667 Final Value E 1333.333333 Reduced Cost 0 0 Price 1500 633.3333333 5000 616.6666667 F 0 2500 3100 Objective Allowable Allowable Coefficient Increase Decrease G R.H. Side Shadow Constraint Allowable Allowable Increase Decrease 1500 5000 1500 H 3700 1900 950 1850 500 1000 1E+30 166.6666667 250 3500 inkaid grows soybeans and corn on his land about 12 miles outside of Hartington in ortheast Nebraska. He needs to figure out how many acres of the land to allot to ach crop to maximize his profit. After solving the problem using Excel, the following ensitivity report is generated. What is the profit margin of Corn?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 56P
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Question
A
B
6 Variable Cells
7
8
9
10
11
12 Constraints
13
14
Cell
Name
$B$4 Acres allotted Soybean
$C$4 Acres allotted Corn
15
16
C
Cell
Name
$D$2 Workers Amt used
$D$3 Fertilizer Amt used
17 $D$4 Acres allotted Amt used
2500
3100
166.67
1166.67
D
Final
Value
166.6666667
1166.666667
Final
Value
1500
5000
1333.333333
E
Reduced
Cost
0
0
Shadow
Price
633.3333333
616.6666667
0
F
2500
3100
G
Objective Allowable Allowable
Coefficient Increase
Decrease
1500
5000
1500
H
3700
1900
950
1850
Constraint Allowable Allowable
R.H. Side
Increase
Decrease
500
1000
1E+30 166.6666667
250
3500
Kinkaid grows soybeans and corn on his land about 12 miles outside of Hartington in
northeast Nebraska. He needs to figure out how many acres of the land to allot to
each crop to maximize his profit. After solving the problem using Excel, the following
sensitivity report is generated. What is the profit margin of Corn?
Transcribed Image Text:A B 6 Variable Cells 7 8 9 10 11 12 Constraints 13 14 Cell Name $B$4 Acres allotted Soybean $C$4 Acres allotted Corn 15 16 C Cell Name $D$2 Workers Amt used $D$3 Fertilizer Amt used 17 $D$4 Acres allotted Amt used 2500 3100 166.67 1166.67 D Final Value 166.6666667 1166.666667 Final Value 1500 5000 1333.333333 E Reduced Cost 0 0 Shadow Price 633.3333333 616.6666667 0 F 2500 3100 G Objective Allowable Allowable Coefficient Increase Decrease 1500 5000 1500 H 3700 1900 950 1850 Constraint Allowable Allowable R.H. Side Increase Decrease 500 1000 1E+30 166.6666667 250 3500 Kinkaid grows soybeans and corn on his land about 12 miles outside of Hartington in northeast Nebraska. He needs to figure out how many acres of the land to allot to each crop to maximize his profit. After solving the problem using Excel, the following sensitivity report is generated. What is the profit margin of Corn?
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