Question: As advances in technology result in the production of increasingly powerful and compact calculators, the price of calculators currently on the market drops. Suppose that x months from now the price of a certain model will be

\(P(x)=40+\frac{30}{x+1}\) dollars.

a. What will the price be 5 months from now?

b. By how much will the price drop during the fifth month?

c. When will the price be $43?

d. What happens to the price in the “long run” (as x becomes very large)?