Manuel wants to replace the wooden floor at his gym. The floor is in the shape of a rectangle. Its length is 40 feet and its width is 25 feet. Suppose wood flooring costs 11$ for each square foot. How much will the wood flooring cost for the floor?

Step-by-step explanation:

Step one:

given data

the dimension of the gym is

length = 40ft

width= 25ft

Area= 40*25

Area= 1000ft^2

Step two:

     if 1ft^2 will cost $11

then 1000ft^2 will cost x

cross multiply

x=1000*11

x=$11,000

The cost for the floor is $11,000

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204