Ask a New Question

Find the dimensions of the rectangular garden of greatest area that can be fenced off for $6000, if the cost of fencing is $5 per meter.

1 answer

cost = 5 (2x+2y)
6000 = 10x + 10 y
x+y = 600
so y = 600-x
A =xy = 600x-x^2

dA/dx = 0 at max = 600 -2x
x = 300
then y = 300
so square

Ask a New Question or answer this question.

Similar Questions

A rectangular garden is to be fenced by a farmer. One side of the garden is next to the wall of the house and need not to be
1. 5 answers
A rectangular garden is fenced on three sides with a wall forming the fourth side. the total length of the fence is 70m. the
1. 3 answers
A rectangular garden is fenced on thee sides with a wall forming the fourth side. The total length of the fence is 70m. The area
1. 1 answer
A rectangular garden is to be fenced off and divided into 3 equal regions by fencing parallel to one side of the garden. 200
1. 1 answer

more similar questions