KidTec produces child safety products, including two models of automobile safety seat, the EasyGQ and the ComfortRide. Each seat has three major components: the plastic body, the safety belt, and the foam and cloth covering. The same body and safety belt are used for both models of seat, but the coverings are different. All components can either be made in-house by KidTec or purchased from a vendor. The table below provides the in-house manufacturing costs ("Make") and the purchase costs ("Buy") for one unit of each component. KidTec's sales department has estimated the demand in the next quarter as 500 EassGo seats and 750 ComfortRide seats. The available machine time for the safety seats for the current production run is limited to 120 hours of regular manufacturing time and 15 hours of overtime. If overtime is used, the company must pay an additional cost of $18 per hour. The manufacturing times for one unit of each component are as follows: body, 10 minutes; safety belt, 6 minutes; EasyGon covering, 7 minutes; ComfortRide covering, 8 minutes. Develop a linear program to determine the number of units of each component that should be manufactured and/or purchased, with the goal of minimizing total production cost. You do not need to solve the LP