1. A cylindrical plastic container, open at the top, is to have a capacity of 24 cubic inches. The cost of material used for the bottom of the container is $0.15/sq. in, and the cost of the material used for the curved part is $0.05/sq. in. Determine the dimensions that will minimize the cost of the material, and find the minimum cost.

A) Create a diagram modelling the question.

B) State the restriction on the variable(s)

C) Indicate the equation to be optimized.

D) Indicate the derivative and the complete solution