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Solve the Problem E1,E2,E3\mathrm{E}_{1}, \mathrm{E}_{2}, \mathrm{E}_{3} , And E4\mathrm{E}_{4}-- In the Amounts (In Milligrams) Shown in the Table

Question 132

Multiple Choice

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\mathrm{E}_{1}, \mathrm{E}_{2}, \mathrm{E}_{3} , and E4\mathrm{E}_{4}-- in the amounts (in milligrams) shown in the table.
 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 --  \mathrm{E}_{1}, \mathrm{E}_{2}, \mathrm{E}_{3} , and  \mathrm{E}_{4}--  in the amounts (in milligrams)  shown in the table.   The cost of  \mathrm{E}_{1}  is  \$ 20 / \mathrm{mg} , the cost of  \mathrm{E}_{2}  is  \$ 40 / \mathrm{mg} , the cost of  \mathrm{E}_{3}  is  \$ 10 / \mathrm{mg} , and the cost of  \mathrm{E}_{4}  is also  \$ 10 / \mathrm{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)   0,9.3,10.0  B)   0,0,15  C)   3.0,3.0,4.0  D)   9.0,0,9.5
The cost of E1\mathrm{E}_{1} is $20/mg\$ 20 / \mathrm{mg} , the cost of E2\mathrm{E}_{2} is $40/mg\$ 40 / \mathrm{mg} , the cost of E3\mathrm{E}_{3} is $10/mg\$ 10 / \mathrm{mg} , and the cost of E4\mathrm{E}_{4} is also $10/mg\$ 10 / \mathrm{mg} . The growth benefit for crops is expected to be proportional to 10 times the amount of AA used, 25 times the amount of BB used, and 60 times the amount of CC used. However, the total cost of the enzymes used in A,BA, B , and CC must be less than $5000\$ 5000 for each treatment. How many pounds each of A,BA, B , and CC should be produced to maximize the growth effect?


A) 0,9.3,10.00,9.3,10.0
B) 0,0,150,0,15
C) 3.0,3.0,4.03.0,3.0,4.0
D) 9.0,0,9.59.0,0,9.5

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