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The length of a cedar chest is twice its width. The cost/dm^2 of the lid is four times the cost/dm^2 of the rest of the cedar chest. If the volume of the cedar chest is 1440 dm^3, find the dimensions so that the cost is a minimum. Begin by drawing a diagram sketch.
x = one base length 2x = the other y = height then 2x^2 y = 1440 y = 720/x^2 Cost C = A(2x^2 + 2xy + 4xy) + 2A(2x^2) now, A is constant and y needs to be replaced so we have C(x) with parameter A get C'(x) = 0 and solve for such x.
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