Ask Question
3 August, 00:11

If the garden is to be 2450 square feet, and the fence along the driveway costs $6 per foot while on the other three sides it costs only $2 per foot, find the dimensions that will minimize the cost.

+3
Answers (1)
  1. 3 August, 00:40
    0
    Cost (C) = 8x + 4y

    For minimum cost C' = 0

    8 + 4dy/dx = 0

    dy/dx = - 2

    d (xy) / dx

    xdy/dx + y

    dy/dx = - y/x = - 2

    y = 2x

    x (2x) = 2450

    2x^2 = 2450

    x^2 = 1225

    x = √1225 = 35

    y = 2 (35) = 70

    Therefroe for minimum cost the dimension of the graden should be 35 by 70 feet.
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “If the garden is to be 2450 square feet, and the fence along the driveway costs $6 per foot while on the other three sides it costs only $2 ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers