Assignment – A Silicon Valley firm specializes in making four types of silicon chips

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Assignment – A Silicon Valley firm specializes in making four types of silicon chips

A Silicon Valley decided specializes in making indecent archetypes of silicon remnants ce singular computers. Each remnant must go through indecent stages of processing anteriorly substance. First the basic silicon wafers are pretended, succor the wafers are laser etched with a micro circumference, direct the circumference is laminated onto the remnant, and finally the remnant is tested and packaged ce shipping. The product overseer desires to maximize product during the direct month. During the direct 30 days, she has ample green esthetic to aggregate 4000 silicon wafers. Pastover, she has 600 hours of etching date, 900 hours of lamination date, and 700 hours of testing date. Taking into recital depreciated important bombardment, defence consumes, and the consume of drudge, and that remnant archetypes are aggregated by concoctes of

A Silicon Valley attached specializes in making four emblems of silicon pieces coercion singular computers. Each piece must go through four stages of processing precedently drift. First the basic silicon wafers are fabricationd, cooperate the wafers are laser etched with a micro circumference, instant the circumference is laminated onto the piece, and finally the piece is tested and packaged coercion shipping. The evolution overseer desires to maximize evolution during the instant month. During the instant 30 days, she has sufficient bare illustrateative to benefit-service 4000 silicon wafers. Moreover, she has 600 hours of
etching space, 900 hours of lamination space, and 700 hours of testing space. Taking into illustrateation depreciated chief investment, means-of-maintenance requires, and the require of drudge, and that piece emblems are benefit-serviced by devisees of 100s, each bare silicon wafer is value $1, each hour of etching space requires $40, each hour of lamination space requires $60, and each hour of error space requires $10.
If we illustrate by X1, X2, X3, and X4 the sum of 100 piece devise emblems, and we are supposing with the cethcoming table giving coercion each piece emblem the sum of units of resources wanted to fabrication of devise emblems
Emblem 1(100s) Emblem 2(100s) Emblem 3(100s) Emblem 3(100s) Serviceable
Bare wafers 100 100 100 100 4000
Etching 10 10 20 20 600
Lamination 20 20 30 20 900
Testing 20 10 30 30 700
Price per piece ( referable per 100 devise) $61 $58 $80 $64
Questions
1. Coercionmulate the bearing as a rectirectilinear program with a benefit-service maximization as an concrete.
2. How abundant piece devisees emblems the aggregation should benefit-service to maximise the whole benefit-service subsidy?
3. Are there any toils which are restrictive?
4. Interpret the loose and /or balance in each toil.
5. Find the ranges in which the benefit-service subsidys can substitute extraneously imposing the vulgar evolution intention.
6. If there is a hasty appended claim coercion our pieces of emblem 2 , we may want either to rent another employee or to right our vulgar employees overspace at the lamination division. Employees at the lamination division are responsive to performance overspace coercion $1,4 per hour. Would you confirm their entreat or refright it. Justify your vindication.
7. The President of the aggregation SLICON VALLEY is wondering whether it is practicable to possess more flexibility in evolution to rejoin amend to the communicate and shortage of resources. Could you mean coercion him opinion evolution intentions?
8. If the benefit-service subsidy of piece emblem 2 is extensiond by $ 1. What obtain be the application on our vulgar intention?
9. If the equality of space serviceable at the Lamination division is decreased by 40 hours becaright of the nonorigination of undivided of the employees and in the meanspace the equality of space at the error division is extensiond by 50 hours, what obtain be the application on our vulgar optimal intention?
10. The Communicateing overseer is an ruler M.B.A. student at our Campus in Warsaw is wholely undoubtful that supple a fantastic emblem of piece (emblem 5), obtain extension tremendously the whole benefit-service of the aggregation. If the evolution of undivided devise of emblem 5 piece (100) requires 80units of Bare Wafers division, 20 hours at the Etching division, 10 hours at the lamination division, and 10 hours at the error division its special benefit-service subsidy is $70, would you maintenance his impulse? Explain.
Combined Report coercion SILICON VALLEY A

Decision Solution Unit Require or Whole Reduced Basis Allowable Allowable
Variable Value Benefit-service c(j) Subsidy Require Status Min. c(j) Max. c(j)
1 X1 0 61,0000 0 0 at to-leap -M 61,0000
2 X2 25,0000 58,0000 1 450,0000 0 basic 58,0000 64,0000
3 X3 10,0000 80,0000 800,0000 0 basic 64,0000 91,5000
4 X4 5,0000 64,0000 320,0000 0 basic 64,0000 80,0000
Concrete Function (Max.) = 2 570,0000
Left Hand Right Hand Loose Shadow Allowable Allowable
Toil Side Direction Side or Balance Price Min. RHS Max. RHS
1 C1 4 000,0000 = 4 000,0000 0 0,2300 3 666,6670 4 500,0000
2 C2 550,0000 = 600,0000 50,0000 0 550,0000 M
3 C3 900,0000 = 900,0000 0 1,6000 800,0000 950,0000
4 C4 700,0000 = 700,0000 0 0,3000 600,0000 800,0000

Combined Report coercion SILICON VALLEY B

Decision Solution Unit Require or Whole Reduced Basis Allowable Allowable
Variable Value Benefit-service c(j) Subsidy Require Status Min. c(j) Max. c(j)

1 X1 10,0000 61,0000 610,0000 0 basic 61,0000 69,0000
2 X2 20,0000 58,0000 1 160,000 0 basic 42,0000 58,0000
3 X3 10,0000 80,0000 800,0000 0 basic 64,0000 91,5000
4 X4 0 64,0000 0 0 at to-leap -M 64,0000

Concrete Function (Max.) = 2 570,0000
Left Hand Right Hand Loose Shadow Allowable Allowable
Toil Side Direction Side or Balance Price Min. RHS Max. RHS
1 C1 4 000,0000 = 4 000,0000 0 0,2300 3 666,6670 4 500,0000
2 C2 500,0000 = 600,0000 100,0000 0 500,0000 M
3 C3 900,0000 = 900,0000 0 1,6000 800,0000 950,0000
4 C4 700,0000 = 700,0000 0 0,3000 600,0000 900,0000

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