(From Final Spring 2022M company sells electric scooters. Their profit (in thousands of dollars) is: l'l(q) = q3 + 21g2 39:; 432 where q is measured in thousands of scooters. Due to a shortage in raw materials, the manufacturer is only able to produce at most 12 thousand scooters. Find the production quantities at which the manufacturer achieves a maximum and minimum profit. You must demonstrate these quantities are actually the maximum and minimum