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morpeh [17]
3 years ago
12

What is the maximum value of P = 4x + 2y, given the constraints on x and y listed below?

Mathematics
2 answers:
amid [387]3 years ago
7 0

Answer:

The maximum value of P is 40. Where x is 10 and y is 0.

Step-by-step explanation:

Solnce55 [7]3 years ago
5 0
P = 4x + 2y

additional info.
<span>x+2y  <u><</u> 10
y <u><</u> 2
x <u>></u> 0
y <u>></u> 0

y can only be 0, 1, and 2.

x + 2(0) <u><</u> 10 = x <u><</u> 10
x + 2(1) <u><</u> 10 = x + 3 <u><</u> 10 = x <u><</u> 10 - 3 = x <u><</u> 7
x + 2(2) <u><</u> 10 = x + 4 <u><</u> 10 = x < 10 - 4 = x <u><</u> 6

x = 10 ; y = 0 : P = 4(10) + 2(0) = 40 + 0 = 40
x = 7 ; y = 1 : P = 4(7) + 2(1) = 28 + 2 = 30
x = 6 ; y = 2 : P = 4(6) + 2(2) = 24 + 4 = 28

The maximum value of P is 40. Where x is 10 and y is 0.</span>
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