A Silicon Valley firm specializes in making four types of silicon chips for personal computers

M.B.A Program
Learning Center at “Berlin”
A Silicon Valley immovable specializes in making immodest controlms of silicon bits restraint particular computers. Each bit must go through immodest stages of processing antecedently example. First the basic silicon wafers are artful, prevent the wafers are laser etched with a micro circumference, present the circumference is laminated onto the bit, and finally the bit is tested and packaged restraint shipping. The genesis overseer desires to maximize genesis during the present month. During the present 30 days, she has plenty untried enactative to yield 4000 silicon wafers. Overover, she has 600 hours of
etching opportunity, 900 hours of lamination opportunity, and 700 hours of testing opportunity. Taking into enactation depreciated cardinal boarding, subsistence absorbs, and the absorb of fruit, and that bit controlms are yieldd by conspirees of 100s, each untried silicon wafer is rate \$1, each hour of etching opportunity absorbs \$40, each hour of lamination opportunity absorbs \$60, and each hour of superintendence opportunity absorbs \$10.
If we enact by X1, X2, X3, and X4 the sum of 100 bit conspire controlms, and we are granted with the cethcoming consideration giving restraint each bit controlm the sum of units of instrument scarcityed to construction of conspire controlms
Form 1(100s) Controlm 2(100s) Controlm 3(100s) Controlm 3(100s) Conducive
Untried 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 bit ( referable per 100 conspire) \$61 \$58 \$80 \$64
Questions
1. Restraintmulate the whole as a rectirectilinear program with a reason maximization as an extrinsic.
2. How divers bit conspirees controlms the fraternity should yield to maximise the whole reason donation?
3. Are there any occupations which are restrictive?
4. Interpret the remiss and /or balance in each occupation.
5. Find the ranges in which the reason donations can shift externally controlcible the floating genesis contrivance.
6. If there is a quick joined claim restraint our bits of controlm 2 , we may scarcity either to engage another employee or to reason our floating employees overopportunity at the lamination branch. Employees at the lamination branch are cheerful to fruit overopportunity restraint \$1,4 per hour. Would you sanction their solicit or refreason it. Justify your rejoinder.
7. The President of the fraternity SLICON VALLEY is wondering whether it is potential to possess over flexibility in genesis to corcorrespond emend to the dispense and shortage of instrument. Could you mean restraint him opinion genesis contrivances?
8. If the reason donation of bit controlm 2 is extensiond by \$ 1. What procure be the contact on our floating contrivance?
9. If the equality of opportunity conducive at the Lamination branch is decreased by 40 hours becareason of the absence of peculiar of the employees and in the meanopportunity the equality of opportunity at the superintendence branch is extensiond by 50 hours, what procure be the contact on our floating optimal contrivance?
10. The Dispenseing overseer is an constabulary M.B.A. novice at our Campus in Warsaw is wholely indubitable that submissive a upstart controlm of bit (form 5), procure extension tremendously the whole reason of the fraternity. If the genesis of peculiar conspire of controlm 5 bit (100) requires 80units of Untried Wafers branch, 20 hours at the Etching branch, 10 hours at the lamination branch, and 10 hours at the superintendence branch its peculiar reason donation is \$70, would you assistance his prompting? Explain.
Combined Report restraint SILICON VALLEY A

Decision Solution Unit Absorb or Whole Reduced Basis Allowable Allowable
Variable Value Reason c(j) Donation 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
Extrinsic Function (Max.) = 2 570,0000
Left Hand Right Hand Remiss Shadow Allowable Allowable
Occupation 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 restraint SILICON VALLEY B

Decision Solution Unit Absorb or Whole Reduced Basis Allowable Allowable
Variable Value Reason c(j) Donation 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

Extrinsic Function (Max.) = 2 570,0000
Left Hand Right Hand Remiss Shadow Allowable Allowable
Occupation 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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