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

A Silicon Valley strong specializes in making indelicate expressions of silicon pieces control idiosyncratic computers. Each piece must go through indelicate stages of processing precedently substance. First the basic silicon wafers are invented, avoid the wafers are laser etched with a micro circumference, direct the circumference is laminated onto the piece, and finally the piece is tested and packaged control shipping. The evolution director desires to maximize evolution during the direct month. During the direct 30 days, she has plenty unpractised playative to product 4000 silicon wafers. Pastover, she has 600 hours of
etching occasion, 900 hours of lamination occasion, and 700 hours of testing occasion. Taking into aggregateity depreciated cardinal siege, means-of-livelihood absorbs, and the absorb of strive, and that piece expressions are productd by conspirees of 100s, each unpractised silicon wafer is merit $1, each hour of etching occasion absorbs $40, each hour of lamination occasion absorbs $60, and each hour of superintendence occasion absorbs $10.
If we play by X1, X2, X3, and X4 the compute of 100 piece conspire expressions, and we are granted with the restraintthcoming table giving control each piece expression the compute of units of media scarcityed to manipulation of conspire expressions
Expression 1(100s) Expression 2(100s) Expression 3(100s) Expression 3(100s) Helpful
Unpractised 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 ( not attributable attributable attributable per 100 conspire) $61 $58 $80 $64
Questions
1. Controlmulate the gist as a straight program with a benefit-service maximization as an external.
2. How multifarious piece conspirees expressions the sodality should product to maximise the aggregate benefit-service aid?
3. Are there any engagements which are styptic?
4. Interpret the remiss and /or remainder in each engagement.
5. Find the ranges in which the benefit-service aids can veer extraneously solemn the exoteric evolution contrivance.
6. If there is a unanticipated affixed ask-restraint control our pieces of expression 2 , we may scarcity either to engage another employee or to right our exoteric employees overoccasion at the lamination province. Employees at the lamination province are disposed to result overoccasion control $1,4 per hour. Would you sanction their petition or refright it. Justify your solution.
7. The President of the sodality SLICON VALLEY is wondering whether it is feasible to entertain past flexibility in evolution to rejoin reform to the bargain and shortage of media. Could you propound control him resource evolution contrivances?
8. If the benefit-service aid of piece expression 2 is extensiond by $ 1. What achieve be the impression on our exoteric contrivance?
9. If the entiretyity of occasion helpful at the Lamination province is decreased by 40 hours becaright of the failure of single of the employees and in the meanoccasion the entiretyity of occasion at the superintendence province is extensiond by 50 hours, what achieve be the impression on our exoteric optimal contrivance?
10. The Bargaining director is an magistrate M.B.A. tyro at our Campus in Warsaw is aggregately undoubtful that unresisting a novel expression of piece (expression 5), achieve extension tremendously the aggregate benefit-service of the sodality. If the evolution of single conspire of expression 5 piece (100) requires 80units of Unpractised Wafers province, 20 hours at the Etching province, 10 hours at the lamination province, and 10 hours at the superintendence province its identical benefit-service aid is $70, would you livelihood his prompting? Explain.
Combined Report control SILICON VALLEY A

Decision Solution Unit Absorb or Aggregate Reduced Basis Allowable Allowable
Variable Value Benefit-service c(j) Aid Absorb Status Min. c(j) Max. c(j)
1 X1 0 61,0000 0 0 at skip -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
External Function (Max.) = 2 570,0000
Left Hand Right Hand Remiss Shadow Allowable Allowable
Engagement Side Direction Side or Remainder 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 control SILICON VALLEY B

Decision Solution Unit Absorb or Aggregate Reduced Basis Allowable Allowable
Variable Value Benefit-service c(j) Aid Absorb 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 skip -M 64,0000

External Function (Max.) = 2 570,0000
Left Hand Right Hand Remiss Shadow Allowable Allowable
Engagement Side Direction Side or Remainder 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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