DIET PROBLEM EXAMPLE Example: The Feed 'N Ship feedlot fattens cattle for local farmers and ships them to meat markets in Kansas City and Omaha. The owners of the feedlot seek to determine the amounts of cattle feed to buy to satisfy minimum nutritional standards and, at the same time, minimize total food costs. Each grain stock contains different amounts of four nutritional ingredients: A, B, C, and D. Here are the ingredient contents of cach grain, in ounces per pound of grain: FEED STOCK Y 2 oz 3 oz O oz INGREDIENT STOCK X STOCK Z 2 o2 1 oz 2 o 6 oz 4 oz The cost per pound of grains X. Y, and Z is $0.02, 50.04, and 50.025, respectively. The minimum require- ment per cow per month is 64 ounces of ingredient A, 80 ounces of ingredient B, 16 ounces of ingredicnt C, and 128 ounces of ingredient D. The feedlot faces one additional restriction it can obtain only 500 pounds of stock Z per month from the feed supplier, regardless of its need. Because there are usually 100 cows at the Feod 'N Ship feedlot at any given time, this constraint limits the amount of stock Z for use in the feed of each cow to no more than 5 pounds, or 80 ounces, per month.
DIET PROBLEM EXAMPLE Example: The Feed 'N Ship feedlot fattens cattle for local farmers and ships them to meat markets in Kansas City and Omaha. The owners of the feedlot seek to determine the amounts of cattle feed to buy to satisfy minimum nutritional standards and, at the same time, minimize total food costs. Each grain stock contains different amounts of four nutritional ingredients: A, B, C, and D. Here are the ingredient contents of cach grain, in ounces per pound of grain: FEED STOCK Y 2 oz 3 oz O oz INGREDIENT STOCK X STOCK Z 2 o2 1 oz 2 o 6 oz 4 oz The cost per pound of grains X. Y, and Z is $0.02, 50.04, and 50.025, respectively. The minimum require- ment per cow per month is 64 ounces of ingredient A, 80 ounces of ingredient B, 16 ounces of ingredicnt C, and 128 ounces of ingredient D. The feedlot faces one additional restriction it can obtain only 500 pounds of stock Z per month from the feed supplier, regardless of its need. Because there are usually 100 cows at the Feod 'N Ship feedlot at any given time, this constraint limits the amount of stock Z for use in the feed of each cow to no more than 5 pounds, or 80 ounces, per month.
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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Question
(see attached image, kindly answer it based on your knowledge, thank you!)
Transcribed Image Text:DIET PROBLEM EXAMPLE
Example:
The Feed 'N Ship feedlot fattens cattle for local farmers and ships them to meat markets in Kansas City
and Omaha. The owners of the feedlot seek to determine the amounts of cattle feed to buy to satisfy
minimum nutritional standards and, at the same time, minimize total feed costs.
Each grain stock contains different amounts of four nutritional ingredients: A, B, C, and D. Here are
the ingredient contents of each grain, in ounces per pound of grain:
FEED
INGREDIENT
STOCK X
STOCK Y
STOCK Z
4 oz
2 oz
3 oz
O oz
8 oz
3 oz
2 oz
1 oz
6 oz
1 oz
2 oz
4 oz
D
The cost per pound of grains X, Y, and Z is S0.02, S0.04, and s0.025, respectively. The minimum require-
ment per cow per month is 64 ounces of ingredient A, 80 ounces of ingredient B, 16 ounces of ingredient
C, and 128 ounces of ingredient D.
The feedlot faces one additional restriction it can obtain only 500 pounds of stock Z per month
from the feed supplier, regardless of its need. Because there are usually 100 cows at the Feod 'N Ship
feedlot at any given time, this constraint limits the amount of stock Z for use in the feed of cach cow to
no more than 5 pounds, or 80 ounces, per month.
Transcribed Image Text:DIET PROBLEM EXAMPLE
SOLVE:
The cost of a pound of stock X just increased by 50%. Does this
affect the solution?
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