Answered: company operates a farm on which sheep…

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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A company operates a farm on which sheep are raised. The farm manager has determined that for the sheep to grow in the desired fashion, they need minimum amounts of four nutrients. The sheep can consume more than the minimum amounts without harm. The manager is considering five different grains to feed the sheep. The attached Excel file lists the number of units of each nutrient in each pound of grain, the minimum daily requirements of each nutrient for each sheep, and the cost of each grain. It has been noticed that grains 1 and 3 may cause some dietary conflict if combined, so the manager does not want to include both grains 1 and 3 in the mix at the same time. Please develop and solve an integer programming model in excel to provide the mix that minimizes the feed cost.

v fe
A1
D
Grain
A
B
E
F
H
Minimum Daily
1
1
3
4
Requirement (Units)
Nutrient
A
20
20
60
30
110
3
Nutrient
В
10
20
40
50
18
4
Nutrient
C
50
30
35
40
90
Nutrient
D
2.5
10
30
60
14
Cost ($/lb)
41
40
96
65
60
7
8.
10
LO LO
2.

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