Question

3) Which of the equivalent expressions for P(x) reveals the profit when the price is

zero without changing the form of the expression?
P(x) = -3x2 + 432x - 1680
b) P(x) = -3(x - 4)(x - 140)
c) P(x) = -3(x - 72)2 + 13872
4) Find the profit when the price is zero.

Answer 1

3). Option (a). P(x) = -3x² + 432x - 1680

4). Profit at the price x = 0 is (-1680)

Explanation:

3). P(x) = -3x² + 432x - 1680 will be the equivalent expression for P(x) revealing the profit.

If we place the value of price (x) = 0 in the given expression we can get the value of profit without any change in the expression.

4). By placing x = 0 in the expression representing the profit.

P(0) = -3(0) + 432(0) - 1680

P(0) = -1680

Which shows that the profit at price x = 0 will be (-1680) without changing its form.