Exercise 4.1.12 The following figure shows the devastating effect the opening ofa new chain coffee shop had on a 3-generation rural caf in a small town. The revenue of the chain coffee shop at time t (in months) is given by f(t) million dollars, whenas the revenue of the rural caf at time t is given by g(t) million dollars. Answer the following questions by giving the value oft at which the specifying event took place. f(t) tlt2 (a) The revenue Of the rural caf is decreasing at the slowest rate. (b) The revenue of the rural caf is decreasing at the fastest rate. (c) revenue Of the chain coffe shop first overtakes that Of the rural caf. (d) The revenue of the chain coffee shop is increasing at thefastest rate. Exercise 4.1.13 The demand function for tires is given by O.Iq2q+125 where p is measured in dollars and q is measured in units Of a thousand. (a) Find the average rate of change in the unit price Ofa tire if the quantity demanded is between and 5050 tires; between 5000 and 5010 tires. (b) What is the rate Of change of the unit price if the quantity demanded is 5000?