[angy0470]

An agriculture research scientist is developing 3 new crop growth supplements -- A, B, and C. Each point of each supplement contains four enzymes -- E1, E2, E3 and E4 -- in the amounts (in milligrams) shown in the table.

E1 E2 E3 E4
A 3 2 1 1
B 1 6 3 1
C 2 3 1 5

The cost of E1 is $20/mg, the cost of E2 is $40/mg, the costs of E3 and E4 are both 10/mg. The growth benefit for crops is expected to be 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 of A, B, and C, should be produced to maximize the growth effect?

I know how to solve the problem once I get it set up, but I can't figure out how to set this one up correctly. I've been working on it for two days now.