You need to build a fence encompassing 25,000 sq ft. One side of the fence runs

Question

You need to build a fence encompassing 25,000 sq ft. One side of the fence runs along a stream and will cost $40/ linear ft while the remaining three sides are only $10/ft. If the length of fence along the stream is x, what is the function for the cost of the fence in terms of x?

Explanation / Answer

let the area to be encompassed is rectangular of size x , y. Then area, A = 25000 = x*y => y = 25000/x Cost of fencing along stream = 40x ($) Cost of fencing the remaining three side = 10*(x+2y) ($) Total cost of fencing, C = 40x + 10x + 20y ($) => C = 50x + 20*(25000/x) => C = 50x + 500000/x (substituting the value of y in terms of x from above) (ANSWER)

Related Questions

Navigate

• Browse (All)
• Browse Y
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.