4. Truck battery failures have been analysed, and through using a statistical goodness-of-fit test, it has been concluded that the battery failures can be assumed to follow the following expected frequency distribution Expected Frequency 0 5000 10000 15000 20000 Kilometers to failure It is known that the cost associated with a battery failure is $900, whereas a preventive replacement can be undertaken at a cost of $300. Given that C> Cp, the truck fleet operator wishes to consider implementing an age-based replacement policy a. What is the optimal preventive replacement age? Consider values of I = 5,000; 10,000; 15,000; and 20,000 km. b. How many batteries should the truck fleet operator order over 100,000 km. c. What is the cost saving that can be realized compared to a replacement on failure policy. 4. Truck battery failures have been analysed, and through using a statistical goodness-of-fit test, it has been concluded that the battery failures can be assumed to follow the following expected frequency distribution Expected Frequency 0 5000 10000 15000 20000 Kilometers to failure It is known that the cost associated with a battery failure is $900, whereas a preventive replacement can be undertaken at a cost of $300. Given that C> Cp, the truck fleet operator wishes to consider implementing an age-based replacement policy a. What is the optimal preventive replacement age? Consider values of I = 5,000; 10,000; 15,000; and 20,000 km. b. How many batteries should the truck fleet operator order over 100,000 km. c. What is the cost saving that can be realized compared to a replacement on failure policy