3. Southeast Car Agency (SCA) is a used car dealer. Once every week, a shipment of used vehicles acquired at auctions are made to SCA. From experience, it appears that the demand for Tesla cars in a week is normally distributed with a mean of 8 and a variance of 4. The cost of holding a Tesla in inventory for a week is approximately $250 for SCA. On average, SCA purchases a Tesla for $24,000 and sells for around $28,000 on average. SCA assumes that the loss-of-goodwill cost is about $100 a. Suppose that the SCA's customers are patient, i.e., are willing to wait for a week if the Tesla they want is not in stock. In addition, SCA provides the customers that are backlogged into the next week with an additional set of keys and carpets which costs SCA an additional $250 units. How many Teslas should SCA acquire at the auctions each week? b. Suppose that the SCA's customers are impatient, i.e.. are not willing to wait for a week and purchase the car elsewhere. In this case, how many Teslas should SCA acquire at the auctions each week? dar part fan is