A rancher wishes to build a fence to enclose a 1800 square yard rectangular field. Along one side the fence is to be made of heavy duty material costing $15 per yard, while the remaining three sides are to be made of cheaper material costing $5 per yard. Determine the least cost, Cmin, of fencing for the rancher.

A rancher wishes to build a fence to enclose a 1800 square yard rectangular
field. Along one side the fence is to be made of heavy duty material costing $15 per yard, while the remaining three sides are to be made of cheaper material costing $5 per yard. Determine the least cost, Cmin, of fencing for the rancher.
 
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