Thor is developing three new fitness 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.
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 cost of E3 is $10/mg, and the cost of E4 is also $10/mg. The growth benefit for Thor’s client’s muscles 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 cycle. How many pounds each of A, B, and C should be produced to maximize the growth effect?
CORRECT ANSWER is 0 of A, 9.3 of B, and 10 of C. I dont know how to work out the problem and wanted to see the steps in solving the problem
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