LubeCar specializes in fast automobile oil change. The garage buys car oil in bulk at $3 per gallon. A price discount of $2.50 per gallon for the entire order is available if LubCar purchases more than [000 gallons. The garage services [50 cars per day and each oil change requires 1.25 gallons. LubeCar stored bulk oil at the cost of $0.02 per gallon per day. Also, the cost of placing an order for bulk oil is $20. (a) {3 points) Determine the optimal order quantity and optimal cycle time. (b) {2 points) If there is a 2-day lead time for delivery, determine the optimal reorder point (inventory level at the time an order is submitted)