An automobile manufacturer makes automobiles and trucks in a factory that is divided into two shops. Shop 1, which performs the basic assembly operation, must work 5 man-days on each truck but only 2 man-days on each automobile. Shop 2, which performs finishing operations, must work 3 man-days on each automobile or truck that it produces. Because of men and machine limitations Shop 1 has 180 man-days per week available while Shop 2 has 135 man-days per week. If the manufacturer makes a profit of $300 on each truck and $200 on each automobile, use the graphic method to find how many of each should he produce to maximize his profit?

using graphic method