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, 9.3, 10.0 |
B. 0, 0, 15
C. 9.0, 0, 9.5
D. 3.0, 3.0, 4.0
Answer: A
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Solve the problem.Find the extreme values of subject to
and
A. Maximum: 2 at
minimum: - 2
at
B. Maximum: 4 at
minimum: - 4
at
C. Maximum: 3 at
minimum: - 3
at
D. Maximum: at
minimum: -
at
Solve the problem.Jason bought x rose plants and y sunflower plants for his garden. Rose plants cost $10 each, and sunflower plants cost $15 each. If his spending limit was $300, write an inequality to show the possible combinations of rose plants and sunflower plants he could have bought. Do not solve the inequality.
A. 10x + 15y ? 300 B. 10x + 15y ? 300; C. 15x + 10y ? 300 D. 15x + 10y ? 300
Evaluate the expression. ?
A. 3
B.
C.
D. 1
Determine whether the given ordered pair is a solution to the system of equations.(3, 3)2x = -3 - y4x = -6 - 2y
A. No B. Yes