Question

A rectangular area adjacent to a river is to be fenced in, but no fencing is required on the side by the river. The total area to be enclosed is 1000 square feet. Fencing for the side parallel to the river is $4 per linear foot, and fencing for the other two sides is $2 per linear foot. The four corner posts cost $30 apiece. Let be the length of the one the sides perpendicular to the river. (a) Find a cost equation C in terms of a: C(2) (b) Find the minimum cost to build the enclosure and round your answer to two decimals. Miminum cost: $

Dont use derivatives to find the minimum, use a graphing calculator or table of values.

Answer 1

@ river А B 1000 ABCD, AB let the rectangular area is adjacent to rever , BC=ADX since total area 1000 so DC - 1000 Given that Cost for fencing AD and BC es $ 21 meter and fencing es $ 41 meter. Total Cost for fencing three sides. es. 24+242 + 4 1000 se 4 m + 4000 Corner posts Cost 30 X 4 = 120 so 42 4000 + + 120 거 CS Scanned with CamScanner

b (LR) is Graph of Cla) (31.623, 372.982) so, the minimum cost es. $ 372.98 at 31.62 CS Scanned with CamScanner