TCC also makes high-end dorm room door locks. The most recent order has been for 1400 door lock units for the new college dormitory. The sales and production departments must work together to determine delivery schedules. Each lock unit consists of three components: the knob and face plate, the actual lock itself, and a set of two keys. Although the processes used in the manufacture of the three components vary, there are three areas where the production manager is concerned about the availability of resources. These three areas, their usage by the three components, and their availability are detailed in the table. Resource Knob and Plate Lock Keys (set of 2) Available at TCC Nickel Plating 13 5 2 17,000 units Machining 19 20 20 39,000 minutes Finishing 16 5 2 14,000 minutes A quick look at the amounts available confirms that TCC does not have the resources to fill this contract. A subcontractor, who can make an unlimited number of each of the three components, quotes the prices below. Component Subcontractor Cost TCC Cost Knob and Plate 11.00 7.00 Lock 10.00 5.00 Keys (set of 2) 1.00 .50 Develop a linear programming model that would tell TCC how to fill the order for 1400 dorm room door lock sets at the minimum cost. while using worksheet on excel How many of each of the components will be completed by TCC and how many will be completed by the contractor? What will be the final price of the full order? Please copy this number and include it on the executive summary (the first worksheet).

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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       TCC also makes high-end dorm room door locks. The most recent order has been for 1400 door lock units for the new college dormitory.  The sales and production departments must work together to determine delivery schedules.  Each lock unit consists of three components:  the knob and face plate, the actual lock itself, and a set of two keys.  Although the processes used in the manufacture of the three components vary, there are three areas where the production manager is concerned about the availability of resources.  These three areas, their usage by the three components, and their availability are detailed in the table.

 

Resource
Knob and Plate
Lock

Keys (set of 2)

Available at TCC

 Nickel Plating

13

5

2

17,000 units

  Machining

19

20

20

39,000 minutes

  Finishing

16

5

2

14,000 minutes

 

A quick look at the amounts available confirms that TCC does not have the resources to fill this contract.  A subcontractor, who can make an unlimited number of each of the three components, quotes the prices below.

 

 Component

Subcontractor Cost
TCC Cost

  Knob and Plate

11.00

7.00

  Lock

10.00

5.00

  Keys (set of 2)

1.00

.50

 

Develop a linear programming model that would tell TCC how to fill the order for 1400 dorm room door lock sets at the minimum cost.

 

while using worksheet on excel

  1. How many of each of the components will be completed by TCC and how many will be completed by the contractor?
  2. What will be the final price of the full order? Please copy this number and include it on the executive summary (the first worksheet).

 

 

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