The BlueSky Auto Company $($BSAC$)$ produces four types of gasoline$-$based cars: subcompact, compact, intermediate and luxury. They also produce electric trucks and vans. Due to capacity limit$,$ BSAC can make at most $1$ million vehicles per year. Subcompacts and compacts are made in one facility with a total annual capacity of $620,000$ cars. Intermediate and luxury cars are product in another facility with capacity of $400,000$ units; and the electric truck$/$van facility has a capacity of $375,000.$ BSAC's management team requires that subcompacts and compacts must constitute at least half of the product mix for the four gasoline$-$based cars. Also, the management wants to have at least $40\%$ total vehicles are electric. The Corporate Average Fuel Economy $($CAFE$)$