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The Minnow Bucket Bait Shop in Land O' lakes, WI raises trout, their current inventory is 15,000 fish (trout). They want to buy a mix of feed for their trout that both provides the nutrients needed and comes at the lowest cost. In order to do this, they are going to buy and mix two brands of feed. Each pound of Brand-1 feed contains 5.68 ounces of ingredient "A", 4.75 ounces of ingredient "B" and 1.09 ounces of ingredient "C". Each pound of Brand-2 contains 7.81 ounces of ingredient "A", 3.89 ounces of ingredient "B" and no (zero) ounces of ingredient "C". Brand-1 costs $1.03 per pound and Brand-2 costs $1.38 per pound. Each trout needs 66.3 ounces of ingredient "A", 46.1 ounces of ingredient "B" and 7.9 ounces of ingredient "C" per month. How many total pounds of each brand should they buy per month to keep their cost as low as possible and still meet the dietary requirements of the 15,000 trout? What will the total cost per month be?

The Minnow Bucket Bait Shop in Land O' lakes, WI raises trout, their current inventory is 15,000 fish (trout). They want to buy a mix of feed for their trout that both provides the nutrients needed and comes at the lowest cost. In order to do this, they are going to buy and mix two brands of feed. Each pound of Brand-1 feed contains 5.68 ounces of ingredient "A", 4.75 ounces of ingredient "B" and 1.09 ounces of ingredient "C". Each pound of Brand-2 contains 7.81 ounces of ingredient "A", 3.89 ounces of ingredient "B" and no (zero) ounces of ingredient "C". Brand-1 costs $1.03 per pound and Brand-2 costs $1.38 per pound. Each trout needs 66.3 ounces of ingredient "A", 46.1 ounces of ingredient "B" and 7.9 ounces of ingredient "C" per month. How many total pounds of each brand should they buy per month to keep their cost as low as possible and still meet the dietary requirements of the 15,000 trout? What will the total cost per month be?

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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The Minnow Bucket Bait Shop in Land O' lakes, WI raises trout, their current inventory is 15,000 fish (trout). They want to buy a mix of feed for their trout that both provides the nutrients needed and comes at the lowest cost. In order to do this, they are going to buy and mix two brands of feed. Each pound of Brand-1 feed contains 5.68 ounces of ingredient "A", 4.75 ounces of ingredient "B" and 1.09 ounces of ingredient "C". Each pound of Brand-2 contains 7.81 ounces of ingredient "A", 3.89 ounces of ingredient "B" and no (zero) ounces of ingredient "C". Brand-1 costs $1.03 per pound and Brand-2 costs $1.38 per pound. Each trout needs 66.3 ounces of ingredient "A", 46.1 ounces of ingredient "B" and 7.9 ounces of ingredient "C" per month. How many total pounds of each brand should they buy per month to keep their cost as low as possible and still meet the dietary requirements of the 15,000 trout? What will the total cost per month be?
Transcribed Image Text:The Minnow Bucket Bait Shop in Land O' lakes, WI raises trout, their current inventory is 15,000 fish (trout). They want to buy a mix of feed for their trout that both provides the nutrients needed and comes at the lowest cost. In order to do this, they are going to buy and mix two brands of feed. Each pound of Brand-1 feed contains 5.68 ounces of ingredient "A", 4.75 ounces of ingredient "B" and 1.09 ounces of ingredient "C". Each pound of Brand-2 contains 7.81 ounces of ingredient "A", 3.89 ounces of ingredient "B" and no (zero) ounces of ingredient "C". Brand-1 costs $1.03 per pound and Brand-2 costs $1.38 per pound. Each trout needs 66.3 ounces of ingredient "A", 46.1 ounces of ingredient "B" and 7.9 ounces of ingredient "C" per month. How many total pounds of each brand should they buy per month to keep their cost as low as possible and still meet the dietary requirements of the 15,000 trout? What will the total cost per month be?
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