a storage shed is to be built in the shape of a box with a square base. it is to have a volume of 125 cubic…

a storage shed is to be built in the shape of a box with a square base. it is to have a volume of 125 cubic feet. the concrete for the base material for the roof costs $9 per square foot, and the material for the sides costs $6.50 per square foot. find the dimensions of the most e 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? c = 13x² + 3250/x (type an expression.) the interval of interest of the objective function is . (simplify your answer. type your answer in interval notation.)

a storage shed is to be built in the shape of a box with a square base. it is to have a volume of 125 cubic feet. the concrete for the base material for the roof costs $9 per square foot, and the material for the sides costs $6.50 per square foot. find the dimensions of the most e 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? c = 13x² + 3250/x (type an expression.) the interval of interest of the objective function is . (simplify your answer. type your answer in interval notation.)

Answer

Explanation:

Step1: Analyze the domain of x

The length of a side of the base $x$ represents a physical dimension. It cannot be negative or zero since it is a length.

Step2: Write the interval

The interval of interest for $x$ is all positive real - numbers. In interval notation, it is $(0,+\infty)$.

Answer:

$(0,+\infty)$