Question 2 options: A fence must be built to enclose a rectangular area of 45,000 ft2. Fencing material costs $4 per foot for the two sides facing north and south and $8 per foot for the other two sides. Find the length and width that will produce the least expensive fence.

The length that would produce the least expenses is  

The width  that would produce the least expenses is  

Step-by-step explanation:

From the question we are told that the

           Required area to enclose is

            Fencing material cost is $4 per foot for north and south

            Fencing material cost for east and west $8

The diagram for this question is shown on the first uploaded image

      From the diagram is mathematically evaluated as

                             AB = 45000

                    =>        

The overall cost of building this fence is

Substituting for B in the equation above

differentiating both sides with respect to x

At minimum possible cost  

              =>

Then B is mathematically evaluate as

Then the maximum is mathematically evaluated as

                     =$4800          

v v cj van config k tbs eng r.c r.c fcb fb gb frfr

the correct answer is 1: 2

step-by-step explanation:

hope this your welcome : )