3. Blending A federal regulation required that the average of the miles per gallon computed over all automobiles sold by an automobile company in a specific year be at least 23 miles per gallon. Let us consider a hypothetical case for the Ford Motor Company. Assume that Ford sold only the four car types: Crown Victoria, Taurus, Escort, and Fiesta. Various parameters of theses cars are listed below: There is some flexibility in the production facilities so capacities may apply to pairs of car types. These limitations are: YEARLY CAPACITY IN UNITS 1,000,000 3,000,000 2,000,000 CAR TYPES LIMITED Fiesta Taurus plus Escorts Crown Vic. plus Taurus There is a sales capacity limit of \( 4,500,000 \) on the total of all cars sold. How many of each car type should Ford plan to sell?