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.
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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