Ask Question
13 October, 21:29

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

+3
Answers (1)
  1. 13 October, 21:51
    0
    P = 4x + 2y

    additional info.

    x+2y < 10

    y < 2

    x > 0

    y > 0

    y can only be 0, 1, and 2.

    x + 2 (0) < 10 = x < 10

    x + 2 (1) < 10 = x + 3 < 10 = x < 10 - 3 = x < 7

    x + 2 (2) < 10 = x + 4 < 10 = x < 10 - 4 = x < 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.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “What is the maximum value of P = 4x + 2y, given the constraints on x and y listed below? ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers