Question

Consider a storage box with a square base. Let the square base measure x cm by x cm, and let y represent the height of the box in centimeters. Let V represent the volume of the box, measured in cubic centimeters. Write an equation for V in terms of x and y. V = Let C represent the cost of the box, measured in dollars. The volume of the box must be 70 cubic centimeters. Further, the top and bottom of the box cost $0.40 per square centimeter and the sides cost $0.20 per square centimeter. Use this information to write an equation for C in terms of x. C(x) = Find C'(x) and C''(x). C'(x) = C''(x) = Find the dimensions (in cm) that will minimize cost. (Round your answers to two decimal places.) x = cm y = cm

          Consider a storage box with a square base. Let the square base
measure x cm by x cm, and let y represent the height of the box in
centimeters. Let V represent the volume of the box, measured in
cubic centimeters. Write an equation for V in terms of x and y. V =
Let C represent the cost of the box, measured in dollars. The
volume of the box must be 70 cubic centimeters. Further, the top
and bottom of the box cost $0.40 per square centimeter and the
sides cost $0.20 per square centimeter. Use this information to
write an equation for C in terms of x. C(x) = Find C'(x) and
C''(x). C'(x) = C''(x) = Find the dimensions (in cm) that will
minimize cost. (Round your answers to two decimal places.) x = cm y
= cm

Added by Jasmine J.

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