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The Weinberger Electronics Corporation manufactures four highly-(Answered)

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The Weinberger Electronics Corporation manufactures four highly technical products that is supplies to aerospace firms that hold NASA contracts. Each of the products must pass through the following departments before they are shipped: wiring, drilling, assembly, and inspection. The time requirement in hours for each unit produced and its corresponding profit value are summarized in the following table


?.?.???????? ????????????

 

ID. 585740467-7 YMBA (WD) #13

 


 

7-40. The Weinberger Electronics Corporation manufactures four highly technical products

 

that is supplies to aerospace firms that hold NASA contracts. Each of the products must pass

 

through the following departments before they are shipped: wiring, drilling, assembly, and

 

inspection. The time requirement in hours for each unit produced and its corresponding

 

profit value are summarized in the following table:

 

?????? Weinberger Electronics ??????? 4 ?????????????????? ??????? ?????????????? ?????? ?????????

 

???????????????????????? ??????????????????????????????????????????????????????????????: ?????????,

 

????, ?????? ?????????? ????????????????????????????????????????????????????????????????????????

 

?????????????:

 

DEPARTMENT

 

PRODUCT

 


 

UNIT PROFIT ($)

 


 

WIRING

 


 

DRILLING

 


 

ASSEMBLY

 


 

XJ201

 


 

0.5

 


 

0.3

 


 

0.2

 


 

9

 


 

XM897

 


 

1.5

 


 

1

 


 

4

 


 

12

 


 

TR29

 


 

1.5

 


 

2

 


 

1

 


 

15

 


 

BR788

 


 

1

 


 

3

 


 

2

 


 

11

 


 

The production available in each department each month, and the minimum monthly

 

production requirement to fulfill contracts, are as follows:

 

??????????????????????????????????????????????????????????????????????????????????????????????????

 

DEPARTMENT

 

Wiring

 

Drilling

 

Assembly

 

Inspection

 


 

CAPACITY

 

PRODUCT

 

(HOURS)

 

15,000

 

17,000

 

26,000

 

12,000

 


 

XJ201

 

XM897

 

TR29

 

BR788

 


 

MINIMUM

 

PRODUCTION

 

LEVEL

 

150

 

100

 

300

 

400

 


 

?.?.???????? ????????????

 

ID. 585740467-7 YMBA (WD) #13

 


 

The production manager has the responsibility of specifying production levels for each

 

product for the coming month. Help him by formulating (that is, setting up the constraints

 

and objective function) Weinberger?s problem using LP.

 

?????????????????????????????????????????????????????????????????????????? ???????????? ??????????

 

?????(??????????????????????????????) ?????????? Weinberger ?????????? LP

 

??????

 

??? x1 ??? ??????????????? XJ201

 

??? x2 ??? ??????????????? XM897

 

??? x3 ??? ??????????????? TR29

 

??? x4 ??? ??????????????? BR788

 

?????????? = 9X1 + 12X2 + 15X3 + 11X4

 

0.5X1 + 1.5X2 + 1.5X3 + 1X4

 


 

15,000 ?????????????? ---------------- (1)

 


 

0.3X1 + 1X2 + 2X3 + 3X4

 


 

17,000 ?????????????? ---------------- (2)

 


 

0.2X1 + 4X2 + 1X3 + 2X4

 


 

26,000 ?????????????? ---------------- (3)

 


 

0.5X1 + 1X2 + 0.5X3 + 0.5X4

 


 

12,000 ?????????????? ---------------- (4)

 


 

X1 150 ???????????????????

 

X2 100 ???????????????????

 

X3 300 ???????????????????

 

X4 400 ???????????????????

 

?????? X1, X2, X3, X4 0

 

??????

 

0.5(150) + 1.5(100) + 1.5(300) + 1(400) 15,000

 

0.3(150) + 1(100) + 2(300) + 3(400) 17,000

 

0.2(150) + 4(100) + 1(300) + 2(400) 26,000

 

0.5(150) + 1(100) + 0.5(300) + 0.5(400) 12,000

 


 

 

Paper#9210756 | Written in 27-Jul-2016

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