3. Suppose that the total profit in hundreds of dollars from selling x items is given by P(x)=2x²-5x+6

i. find the average rate of change in profit for the following changes in x

a. 2 to 4

b. 2 to 3

c. 2 to 2.5

d. 2 to 2.1

e. 2 to 2.05

ii. what do you think is the instantaneous rate of change of profit with respect to the number of items produced when x=2. Why?

iii. Use a similar process to predict the instantaneous rate of change when 5 items are being produced. (Use at least 3 sets of numbers)