The Minnow Bucket Bait Shop in Land O’ lakes, Wi raises trout and have 5000 of them. They want to buy a mix of feed for their trout that both provides the nutrients needed and comes at a low cost. In order to do this, they are going buy and mix two brands. Each pound of Brand 1 contains 3 ounces of ingredient A, 4 ounces of ingredient B and 0.5 ounces of ingredient C. Each pound of Brand 2 contains 10 ounces of ingredient A, 3 ounces of ingredient B and no ounces of ingredient C. Brand 1 costs $2.20 a pound and Brand 2 costs $3.20 per pound. Each trout need 85 ounces of ingredient A, 48 ounces of ingredient B and 2.5 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 trout? What will the cost per month be? Include your spreadsheet with any formulas noted. Also include a list of the constraints you used.
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