A certain company's main source of income is selling socks.
The company's annual profit (in millions of dollars) as a function of the price of a pair of socks (in dollars) is modeled by:
P(x)=-3(x-5)^2+12P(x)=−3(x−5)
2
+12

Price of pair of socks should be $5

Step-by-step explanation:

The question is asking: "What sock price should the company set to earn a maximum profit?"

The equation is given as:

This is a quadratic equation given in vertex form which is:

Where

(b,c) is the vertex and it means that maximum of the function occurs at x = b and the maximum value is "c"

In the context of the question:

Max is 12 and it occurs at x = 5

So, they should set the price of socks at $5 to earn a profit (max) of $12 million

just needed some points but try socratic