Question

What is the profit of selling 55 items, given the profit function P(x) = -2000 + 220x - 2x² ?

a. P(55) = -165
b. P(55) = 495
c. P(55) = 1100
d. P(55) = -1100

Answer 1

The profit of selling 55 items with the profit function P(x) = -2000 + 220x - 2x² is $6050, which does not match any of the provided answer choices. This suggests there could be a typo in the question.

Step-by-step explanation:

To determine the profit of selling 55 items using the given profit function P(x) = -2000 + 220x - 2x², we need to evaluate the function at x = 55. Plugging in the value, we obtain:

P(55) = -2000 + (220 × 55) - (2 × 55²)

= -2000 + 12100 - 6050

= 12100 - 8050

= 6050

Therefore, the profit of selling 55 items is $6050, which is not one of the answer choices provided, indicating there might have been a typo in the question or the answer choices.