The following function shows the relationship between the selling prices, and profit P(s), in dollars, for a company:

P(s) = -20s2 + 1,400s - 12,000

Which statement best describes the intervals where the company's profit increases, decreases, or records a maximum?

It is least when the selling price is $30.

It is greatest when the selling price is $30.

It decreases when the selling price increases from $10 to $35.

It increases when the selling price increases from $10 to $35.

Question

The following function shows the relationship between the selling prices, and profit P(s), in dollars, for a company:

P(s) = -20s2 + 1,400s - 12,000

Which statement best describes the intervals where the company's profit increases, decreases, or records a maximum?

 It is least when the selling price is $30.

 It is greatest when the selling price is $30.

 It decreases when the selling price increases from $10 to $35.

 It increases when the selling price increases from $10 to $35.

mathmale · Answer

If possible, please use Equation Editor for your expressions.  Your P(s) = -20s2 + 1,400s - 12,000 should be$$P(s) = -20s^2 + 1,400s - 12,000$$

mathmale · Answer

You could do this problem in one or more of several ways.
If you're in Calculus, take the derivative of P with respect to s and set it = to 0.
If you're not in Calculus, but in Algebra, draw the graph of this polynomial.  
Show me what you've done.

anonymous · Answer

Yes, algebra. But I don't know how to do that.