5. The supervisor of a manufacturing plant is trying to determine how many of two parts, Part X and Part Y, are to be produced per day. Each part must be processed in three sections of the plant. The time required for the production, along with the profit contribution for each part are given in the following table. Time required (MinutesIUnit) _---_ m-_ Available time 3 600 2 500 1 200 (minutes) No more than 70 units of Part X and up to 50 units of Part Y can be produced per day. .The company already has orders for 30 units of Part Y that must be satised. 5.1 Develop a linear programming model that can recommend the optimal production quantities of Parts X and Y. Use the following decision variables: P1 = how many units of Part X to produce P2 = how many units of Part Y to produce Type the model in the \"Answers\" sheet. 5.2 Add the following requirement to your model (two constraints are needed). The number of units of Part X produced must stay within 10% of the number of units of Part Y produced. Example. If P2 = 100 then P1=90