A storage shed is to be built in the shape of a box with a square base. It is to have a volume of 1,215 cubic feet. The concrete for the base costs $6 per square foot, the material for the roof costs $9 per square foot, and the material for the sides costs $4.50 per square foot. Find the dimensions of the most economical shed. Let x represent the length of one of the sides of the base and let C represent the cost of the shed. What is the objective function? (Type an expression.)

A storage shed is to be built in the shape of a box with a square base. It is to have a volume of 1,215 cubic feet. The concrete for the base costs $6 per square foot, the material for the roof costs $9 per square foot, and the material for the sides costs $4.50 per square foot. Find the dimensions of the most economical shed. Let x represent the length of one of the sides of the base and let C represent the cost of the shed. What is the objective function? (Type an expression.)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.1: Prisms, Area And Volume

Problem 30E: A storage shed is in the shape of a trapezoidal prism. Each trapezoid represents one of its bases....

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