(a) A rancher wants to enclose a rectangular part of a large pasture so that 1.000 km...
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(a) A rancher wants to enclose a rectangular part of a large pasture so that 1.000 km2 is enclosed with the minimum amount of fence. Find the dimensions of the rectangle that he should choose. The area is
A = xy
but A is fixed at 1.000 km2, so that y = A/x.
(b) The rancher now decides that the fenced area must lie along a road and finds that the fence costs $20.00 per meter along the road and $10.00 per meter along the other edges. Find the dimensions of the rectangle that would minimize the cost of the fence.
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a The perimeter of the area is p 2x 2y 2x 2...View the full answer
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