Suppose you have 48 feet of fencing to enclose a rectangular dog pen. The function A = 24x-x2, where x = width, gives you the area of

Question

Suppose you have 48 feet of fencing to enclose a rectangular dog pen. The function
A = 24x-x2, where x = width, gives you the area of the dog pen in square feet. What width gives you the maximum area? What is the maximum area?
PLEASE SHOW WORK

0

Answers ( No )

    0
    2021-09-11T10:08:54+00:00

    Take first derivative of area function and set it to zero

    da/dx=24 – 2x=0

    Now it is set to zero add -2x to both side

    24 – 2x = 0

    24 = 2x

    Now divide by 2 in both sides

    12 = Width

    Your width now is 12

    Plug 12 into you equation like this:

    24 (12) – 12^2= A

    288 – 144 = A

    144 = Area

    144 feets is the maximum area using the width 24

Leave an answer

Browse
Browse