se Homework: 12.3 - Optimization Applications Save Do H Score:0 of 1 pt 6of8(S c

Question

se Homework: 12.3 - Optimization Applications Save Do H Score:0 of 1 pt 6of8(S complete) HW Score: 62 5%, 5 or 8 pts o Bus Econ 12.3.37 Question Help | * A candy box is made from a piece of caroboard that measures 15 by 9 nches Squares of equal size vill be cut out of each corner. The sides will then be folded up to torm a rectangular box. What size square shouid be cut from each corner to obtan maximum volume? Nan A square with a side of length inches should be cut away from each comer to oblain the maximum volume. Round to the nearest hundredth as needed) Cur An

Explanation / Answer

Let x square inches cut out at each corner

Volume = (15-2x)(9-2x)(x) = 4x3-48x2+135x

V'(x) = 12x2-96x+135

V'(x)=0

4x2-32x +45=0

x=1.82 inches

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