2024 – Question Course Number and Name MNGT 520 Advanced Production ManagementFrandec Company manufactures assembles and rebuilds material

Course Number and Name: MNGT 520 – Advanced Production ManagementFrandec Company manufactures, assembles, and rebuilds material handling equipment used in warehouses and distribution centers. One product, called a Liftmaster, is assembled from four components: a frame, a motor, two supports, and a metal strap. Frandec’s production schedule calls for 5000 Liftmasters to be made next month. Frandec purchases the motors from an outside supplier, but the frames, supports, and straps may be either manufactured by the company or purchased from an outside supplier. Manufacturing and purchase costs per unit are shown.Component			Manufacturing Cost			 Purchase Cost Frame					$38.00				            $51.00Support				$11.50					$15.00Strap					$ 6.50					 $ 7.50   Three departments are involved in the production of these components. The time (in minutes per unit) required to process each component in each department and the available capacity (in hours) for the three departments are as follows:DepartmentComponent			Cutting		Milling		ShapingFrame				3.5			2.2			3.1Support			1.3			1.7			2.6Strap				0.8			—			1.7Capacity (hours)		350			420			680a. Formulate and solve a linear programming model for this make-or-buy application.How many of each component should be manufactured and how many should be purchased?a.	Let	FM	=  number of frames manufactured			FP	=  number of frames purchased			SM	=  number of supports manufactured			SP	=  number of supports purchased			TM	=  number of straps manufactured			TP	=  number of straps purchasedMin	38FM	+	51FP	+	11.5SM	+	15SP	+	6.5TM	+	7.5TP		s.t.														3.5FM			+	1.3SM			+	0.8TM			?	21,000	2.2FM			+	1.7SM							?	25,200	3.1FM			+	2.6SM			+	1.7TM			?	40,800	FM	+	FP									?	5,000					SM	+	SP					?	10,000									TM	+	TP	?	5,000FM, FP, SM, SP, TM, TP  ?  0.		Solution:	Manufacture	PurchaseFrames	5000	0Supports	2692	7308Straps	0	5000