The startup X-celerate is studying the autonomous vehicle market. Before buying into the market, the CEO needs to know the maximum profit that the company can achieve. The company will have two products, autonomous sedans and autonomous trucks. In units of tens of thousands of dollars, the price of a sedan is 90 minus three times the number of sedans sold. In the same units, the price of a truck is 120 minus four times the number of trucks sold. The total cost of producing market-ready sedan is six times the number of sedans sold and the total cost of producing market-ready truck is eight times the number of trucks sold. The company's engineers have estimated the trade-off between producing sedans and trucks. They believe that the total number of vehicles sold must remain constant at 14