please use second order partial test

Calc. 3 take home. Name Directions: This is due next class. Show how to solve the following optimization word problem using either the second-order partial test or Lagrange Multipliers. This is a 10 point problem. If you show both methods correctly you will receive +4 points extra credit. Show your work and use the Calculus to justify your answer. A closed rectangular box is to be constructed to hold 2 cubic feet of volume. The cost of the material for the sides is one dollar per square foot, the cost for the bottom is 2 dollars per square foot, and the cost for the top is $1.50 per square foot. Find the dimensions which will minimize the cost. You may round your answers off the one-hundred place