Constructing a storage shelter An open rectangular storage shelter, consisting of two 4-fo...

Constructing a storage shelter An open rectangular storage shelter, consisting of two 4-foot-wide vertical sides and a flat roof, is to be attached to an existing structure, as illustrated in the figure. The flat roof is made of tin and costs $5 per square foot, and the two sides are made of plywood costing $2 per square foot.

(a) If $400 is available for construction, express the length y as a function of the height x.

(b) Express the volume V inside the shelter as a function of x.

EXERCISE