10. (10 points) A small factory makes 2 types of inflatable boats, a 2 person and 4 person. Each 2 person boat requires 0.9 hours in the cutting department and 0.8 hours in the assembly department. Each four person boat requires 1.8 hours in the cutting department and 0.5 hours in the assembly department. The company makes profit of $25 on each 2 person boat and $40 on each 4 person boat. The maximum hours available each month in the cutting department is 864 and the maximum hours available each month in the assembly department is 672. Write an LP formulation that will maximize the profit. Variables: Objective (specify min or max): Constraints: