Covinas Auto Care specializes in oil changes and tires. Covinas has three work stations. At the front desk, all cars get checked in. Some of the cars go to the oil bay for a routine oil change. Some cars go to the tire bay, for service on the tires. Some cars will get both an oil change and a tire service. During a 9-hour day, they typically get 50 customers. 70% of the customers want an oil change. 14% of those who get an oil change also need tire service. 30% only want service for their tires. All cars get checked in at the front counter. One person staffs the front desk. It takes 7 minutes for them to process each car. The oil station is staffed by 2 people. It takes 25 minutes for one person to change the oil in a car. The tire station is staffed by 2 people. It takes one person 40 minutes to provide the tire service. a. Compute the total demand matrix for the resources.

b.How many cars will arrive at each work station on average per hour?

c. What is the implied utilization of each resource?