A diet requires at least 29 units of vitamin C and at least 30 units of vitamin B complex. Two food supplements are available that provide these nutrients, in the amounts and costs shown in the table below. How much of each should be used to minimize the cost?
SupplementVitamin CVitamin BCostA5 units per gram2 units per gram2 cents per gramB2 units per gram10 units per gram6 cents per gram?
A. 3 grams of A and 9 grams of B: 36 cents
B. 1 gram of A and 5 grams of B: 32 cents
C. 5 grams of A and 7 grams of B: 44 cents
D. 7 grams of A and 5 grams of B: 52 cents
E. 5 grams of A and 2 grams of B: 22 cents
Answer: E
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