Integer LP. From Problem 4: A company manufactures two types of toys: trucks and cars. Each truck requires 1 minute of molding time, 2 minutes of painting time, and 1 minute of packing time. Each car requires 2 minutes of molding time, 1 minute of painting time, and 2 minutes of packing time. There are a maximum of 300 minutes of molding time, 400 minutes of painting time, and 400 minutes of packing time available each day. Both trucks and cars contribute $1 per unit to profit. In the original problem, the optimal solution was to make 166.67 trucks and 66.67 cars. Solve this problem again requiring that both the number of trucks and the number of cars must be integers. a. What is the integer solution optimal number of trucks and cars to make? Number of trucks = Number of cars = b. Does the number of trucks and cars differ significantly from rounding off the solution? Yes No c. How much does profit decrease? Profit decreases from to