A company makes three products: A, B, and C. All products must be processed through departments K and S. Each unit of product A requires 24 minutes in department K and 42 minutes in department S while each unit of product B requires 30 minutes in department K and 54 minutes in department S. On the other hand, each unit of product C requires 48 minutes in department K and 18 minutes in department S. In the next production period, the company has 155 processing hours in department K and 170 processing hours in department S. The production setup costs are $800 for product A, $1500 for product B, and $1200 for product C. The maximum production for the three products are set at 150, 120, and 110 units, while the unit profit contributions are $70, $150, and $155, respectively. Construct a linear programming model for maximizing total profit contribution. You must use the integer and/or binary decision variables where necessary. Do not use any comma in your answer. The optimal production decision is to produce Answer units of product A ----------, Answer units of product B------, and Answer units of product C-------. The optimal total profit contribution is Answer dollars.