Suppose you need to minimize the cost of fencing in a rectangular region with a
ID: 2877523 • Letter: S
Question
Suppose you need to minimize the cost of fencing in a rectangular region with a total area of 550 square feet. The material that will be used for three sides costs $18 per linear foot, and the material that will be used for the fourth side costs $27 per linear foot. Write a function that expresses the cost of fencing the region in terms of the length, x, of the two opposite sides of the region with material costs of $18 per linear foot.
a) O C(x) = 2x + 1100 b) O C(x)=45x c) C(x) = 36 + 24750 d) C(x) = 36 x + 29700 e) C(x) = 972x + 267300 f None of the above.Explanation / Answer
Length of 2 sides are x
Since area = 550 ft^2
length of other 2 sides = 550/x
since, length*breadth = area
Cost of fencing = 2x*18 + (550/x)*18 + (550/x)*27
= 36x + 9900/x + 14850/x
= 36x + 24750/x
Answer: C
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