A dog food company makes dog food out of chicken and grain. Each bag of dog food must contain at least 200 grams of protein and at least 150 grams of fat. Chicken has 10 grams of protein and 5 grams of fat per ounce. Grain has 2 grams of protein and 2 grams of fat per ounce. Each bag of dog food must also include at least 5 ounces of chicken and at least 15 ounces of grain. If chicken costs $0.10 per ounce and grain costs $0.01 per ounce, how many ounces of each should the company use in each bag of dog food in order to keep cost as low as possible? Set up and solve this linear programming problem. Let x be the number of ounces of chicken and let y be the number of ounces of grain.
A dog food company makes dog food out of chicken and grain.
Each bag of dog food must contain at least 200 grams of protein and at least 150 grams of fat.
Chicken has 10 grams of protein and 5 grams of fat per ounce.
Grain has 2 grams of protein and 2 grams of fat per ounce.
Each bag of dog food must also include at least 5 ounces of chicken and at least 15 ounces of grain.
If chicken costs $0.10 per ounce and grain costs $0.01 per ounce, how many ounces of each should the company use in each bag of dog food in order to keep cost as low as possible?
Set up and solve this linear programming problem. Let x be the number of ounces of chicken and let y be the number of ounces of grain.
Two of the constraints are
Here is a copy of the previous problem:
A dog food company makes dog food out of chicken and grain.
Each bag of dog food must contain at least 200 grams of protein and at least 150 grams of fat.
Chicken has 10 grams of protein and 5 grams of fat per ounce.
Grain has 2 grams of protein and 2 grams of fat per ounce.
Each bag of dog food must also include at least 5 ounces of chicken and at least 15 ounces of grain.
If chicken costs $0.10 per ounce and grain costs $0.01 per ounce, how many ounces of each should the company use in each bag of dog food in order to keep cost as low as possible?
Set up and solve this linear programming problem. Let x be the number of ounces of chicken and let y be the number of ounces of grain.
Two of the constraints are
10x + 2y ≤ 200 and 5x + 2y ≥ 150
10x + 2y ≥ 200 and 5x + 2y ≥ 150
10x + 2y ≤ 200 and 5x + 2y ≤ 150
10x + 2y ≥ 200 and 5x + 2y ≤ 150
5x + 2y ≤ 150 and 5x + 2y ≥ 150
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