The costs of doing business for a company can be found by adding fixed costs, such as rent, insurance, and wages, and variable costs, which are the costs to purchase the product you are selling. The portion of the company’s fixed costs allotted to this product is $195, and the supplier’s cost for a set of tile is $5 each. Let x represent the number of tile sets.

Suppose the revenue equation is R = -x^2+62x

Can anyone help walk me through this, thanks.

2 answers

R = -x^2 + 62x.

-x^2 + 62x = 0,
-x(x-62) = 0,
-x = 0,
x = 0.

x-62 = 0,
x = 62 sets.

C = $5x + $195,
C = 5*62 + 195 = $505.
Graph the function. Find the vertex, line of symmetry and maximum value.
f(x)=(x+3)^2-2