A linear programming computer package is needed.Frandec 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 5,500 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.ComponentManufacturing CostPurchase CostFrame$39.00$52.00Support$12.50$16.00Strap$7.50$8.50Three 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.ComponentDepartmentCuttingMillingShapingFrame3.52.23.1Support1.31.72.6Strap0.8—1.7Capacity (hours)350420680(a)Formulate and solve a linear programming model for this make-or-buy application. (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, and TP = number of straps purchased. Express time in minutes per unit.)Min 39FM+52FP+12.5SM+16SP+7.5TM+8.5TP Cutting constraint21000≤21000 =WRONG Check which variable(s) should be in your answer.Milling constraint0 =WRONG Enter inequalities using less than (<), greater than (>), less than or equal (≤), or greater than or equal (≥).Shaping constraint0=WRONG Enter inequalities using less than (<), greater than (>), less than or equal (≤), or greater than or equal (≥).Frame constraint0=WRONGEnter inequalities using less than (<), greater than (>), less than or equal (≤), or greater than or equal (≥).Support constraint0=WRONG Enter inequalities using less than (<), greater than (>), less than or equal (≤), or greater than or equal (≥).Strap constraint5500=WRONGEnter inequalities using less than (<), greater than (>), less than or equal (≤), or greater than or equal (≥).FM, FP, SM, SP, TM, TP ≥ 0

Linear programming is a mathematical technique that is also used in operations management…

Answered: Check which variable(s) should be in…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section: Chapter Questions

Problem 59P

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A linear programming computer package is needed.

Frandec 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 5,500 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	$39.00	$52.00
Support	$12.50	$16.00
Strap	$7.50	$8.50

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.

Component	Department
Cutting	Milling	Shaping
Frame	3.5	2.2	3.1
Support	1.3	1.7	2.6
Strap	0.8	—	1.7
Capacity (hours)	350	420	680

(a)

Formulate and solve a linear programming model for this make-or-buy application. (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, and TP = number of straps purchased. Express time in minutes per unit.)

Min

39FM+52FP+12.5SM+16SP+7.5TM+8.5TP

Cutting constraint

21000≤21000 =WRONG

Check which variable(s) should be in your answer.Milling constraint

0 =WRONG

Enter inequalities using less than (<), greater than (>), less than or equal (≤), or greater than or equal (≥).Shaping constraint

0=WRONG

Enter inequalities using less than (<), greater than (>), less than or equal (≤), or greater than or equal (≥).Frame constraint

0=WRONG

Enter inequalities using less than (<), greater than (>), less than or equal (≤), or greater than or equal (≥).Support constraint

0=WRONG

Enter inequalities using less than (<), greater than (>), less than or equal (≤), or greater than or equal (≥).Strap constraint

5500=WRONG

Enter inequalities using less than (<), greater than (>), less than or equal (≤), or greater than or equal (≥).

FM, FP, SM, SP, TM, TP ≥ 0

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