A contractor is to build a warehouse whose rectangular floor will have an area of 4000 square feet. The warehouse will be separated into two rectangular rooms by an interior wall. The cost of the exterior walls is $175 per linear foot and the cost of the interior wall is $125 per linear foot. Express the contractor's cost for building the walls, C, as a function of one of the dimensions of the warehouse's rectangular floor, x.

Question

Adonis Parker

Mathematics

22 August, 15:15

A contractor is to build a warehouse whose rectangular floor will have an area of 4000 square feet. The warehouse will be separated into two rectangular rooms by an interior wall. The cost of the exterior walls is $175 per linear foot and the cost of the interior wall is $125 per linear foot. Express the contractor's cost for building the walls, C, as a function of one of the dimensions of the warehouse's rectangular floor, x.

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Daphne Petersen · Answer 1

C (x) = 475x + (1400000/x)

Step-by-step explanation:

Let length be x

Let width be y

Let area be A

A = xy

Xy=4000

y=4000/x

Interior wall length / x

Total cost = 125x

Exterior wall length = perimeter of rectangle floor=2 (x+y)

Total cost = = 175*2 (x+y) = 350 (x+y)

Contractors cost

C (x) = 125x + 350 (x+y)

C (x) = 125x + 350x + 350y

C (x) = 475x + 350 (4000/x)

C (x) = 475x + (1400000/x)