Solve the problem.An agricultural research scientist is developing three new crop growth supplements -- A, B, and C. Each pound of each supplement contains four enzymes -- E1, E2, E3, and E4 -- in the amounts (in milligrams) shown in the table.
The cost of E1 is $20/mg, the cost of E2 is $40/mg, the cost of E3 is $10/mg, and the cost of E4 is also $10/mg. The growth benefit for crops is expected to be proportional to 10 times the amount of A used, 25 times the amount of B used, and 60 times the amount of C used. However, the total cost of the enzymes used in A, B, and C must be less than $5000 for each treatment. How many pounds each of A, B, and C should be produced to maximize
the growth effect?
A. 0 lb of A, 0 lb of B, and 15 lb of C
B. 0 lb of A, 9.3 lb of B, and 10 lb of C
C. 3 lb of A, 3 lb of B, and 4 lb of C
D. 9 lb of A, 0 lb of B, and 9.5 lb of C
Answer: B
Mathematics
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