A company plans to manufacture closed rectangular boxes that have volume 24 cubic feet. The cost per square foot of the material to be used is $ 3 for the top & b of the box and $1 for the remaining four sides of the box. Let a, b and c be the dimensions of the box that will Minimize the production cost, find a + b + c.

Isla wants to build a playhouse that is in the shape of a rectangular pyramid that has the maximum volume possible. The perimeter of the base must be 24 feet. The height of the playhouse should be 2 times the length. What should the dimensions of the play house be? a. 3 feet wide by 9 feet long by 18 feet high b. 6 feet wide by 6 feet long by 12 feet high c. 5 feet wide by 7 feet long by 14 feet high d. 4 feet wide by 8 feet long by 16 feet high