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Question: Optimize Material Cost of an Ice Tray

Sunday, 18 of November , 2007 at 9:10 pm

Question: The ice tray, shown below, is made from material that costs 1 cent/cm^{2}. Minimize the cost function f(x,y,z) = xy +3xz + 7yz subject to the constraints that each of the 12 compartments is to have a square horizontal cross section and that the total volume (ignoring the partitions) is to be 12 cm^{3}.

Category: Calculus, Questions

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