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Answer to Question #23500 in Algebra for Eric Walker

Question #23500
A property owner wants to fence a garden plot adjacent to a road, as shown in the figure. The fencing next to the road must be sturdier and costs $5 per foot,but the other fencing costs just $3 per foot. The garden is to have an area of 4800 ft^2.

(a) Find a function that models the cost C of fencing the garden in terms of its length x.
_________

(b) Find the garden dimensions that minimize the cost of fencing.

Length_____ ft
Width_______ ft

If the owner has at most $1000 to spend on fencing, find the range of lengths he can fence along the road. (Enter your answer using interval notation.)

{__,____}
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