Show all your work 1) The total cost (in hundreds of dollars) to produce x units of perfume is a) What is the rate of change of cost per x unit of perfume? b) What is the rate of change for 10 units or 20 units 2) You own a parking garage. The city engineer has provided the following information for the average number of vehicles waiting to get into your garage can be modelled by: Where x is a quantity between 0 and 1 and is known as the traffic intensity. Find the rate of change of the number of vehicles in line with respect to the traffic intensity for the values of intensity x=0.1 and x=0.6. What would be the rate of change of vehicles in line for the maximum amount of traffic intensity? 3) The revenue realized by a small city from the collection of fines from parking tickets is given by Where n is the number of work hours each day that can be devoted to parking patrol. At the outbreak of a flu epidemic, 30 work hours are used daily in parking patrol, but during the epidemic that number is decreasing at the rate of 6 work hours per day. How fast is revenue from parking fines decreasing at the outbreak of the epidemic? 4) A sum of $500 is deposited in an account with an interest rate of r percent per year compounded monthly. At the end of 10 years, the balance in the account is given by: Find the rate of change of A with respect to r if r=5 or 7. (note: is given as an integer instead of a percent, which is why division is by 1200)