- Submit a LP file for the following problem (15 points) - Submit a python file that solves your LP file and report its optimal solutions (5 points) An engineering factory makes seven products (PROD 1 to PROD 7) on the following machines: four grinders, two vertical drills, three horizontal drills, one borer and one planer. Each product yields a certain contribution to profit (defined as $/ unit selling price minus cost of raw materials). These quantities (in $/ unit) together with the unit production times (hours) required on each process are given below. A dash indicates that a product does not require a process. Assume the machines required to make a product can be used in any order. In the present month (January) and the five subsequent months, certain machines will be down for maintenance. These machines will be as follows. There are marketing limitations on each product in each month. These are given in the following table. It is possible to store up to 100 of each product at a time at a cost of $0.5 per unit per month. There are no stocks at present, but it is desired to have a stock of 50 of each type of product at the end of June. In each month, the factory works for 24 days. Each working day has two shifts of 8 hours. When and what should the factory make in order to maximize the total profit