Ruff makes dog food out of chicken and grain. Chicken has 10 grams of protein and 5 grams of fat per ounce, and grain has 2 grams of protein and 2 grams of fat per ounce. A bag of dog food must contain at least 200 grams of protein and at least 100 grams of fat. If chicken costs 25 cents/ounce and grain costs 1 cents/ounce, how many ounces of each should Ruff use in each bag of dog food in order to minimize cost?
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__________ oz of chicken and __________ oz of grain.
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What are the shadow costs of protein and fat?
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__________ cent(s) per gram of protein and __________ cent(s) per gram of fat.
What will be an ideal response?
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Determine whether B is the inverse of A.A = , B =
A. Yes B. No
Solve the system of equations using matrices. Use Gaussian elimination with back-substitution.x - y + 2z= 64x + z= 1x + 5y + z=-19
A. {(1, -4, 0)} B. {(1, 0, -4)} C. {(0, -4, 1)} D. {(0, 1, -4)}
Use a graphing device to draw the graph of the function f(x) = -3-3x². State approximately the interval(s) on which the function is increasing and on which the function is decreasing.
In a Triple Tower of Hanoi, there are three poles in a row and 3n disks, three of each of n different sizes, where n is any positive integer. Initially, one of the poles contains all the disks placed on top of each other in triples of decreasing size. Disks are transferred one by one from one pole to another, but at no time may a larger disk be placed on top of a smaller disk. However, a disk may be placed on top of one of the same size. Let tn be the minimum number of moves needed to transfer a tower of 3n disks from one pole to another. Find a recurrence relation for t1, t2, t3, . . . . Justify your answer carefully.
What will be an ideal response?