# 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 sturdy specializes in making impure expressions of silicon morsels coercion singular computers. Each morsel must go through impure stages of processing precedently quantity. First the basic silicon wafers are simulated, cooperate the wafers are laser etched with a micro circumference, direct the circumference is laminated onto the morsel, and finally the morsel is tested and packaged coercion shipping. The cemation superintendent desires to maximize cemation during the direct month. During the direct 30 days, she has ample piercing esthetic to result 4000 silicon wafers. Moreover, she has 600 hours of
etching term, 900 hours of lamination term, and 700 hours of testing term. Taking into statement depreciated cardinal bombardment, livelihood consumes, and the consume of result, and that morsel expressions are resultd by conspirees of 100s, each piercing silicon wafer is rate \$1, each hour of etching term consumes \$40, each hour of lamination term consumes \$60, and each hour of mistake term consumes \$10.
If we resemble by X1, X2, X3, and X4 the estimate of 100 morsel conspire expressions, and we are granted with the subjoined table giving coercion each morsel expression the estimate of units of instrument wanted to product of conspire expressions
Expression 1(100s) Expression 2(100s) Expression 3(100s) Expression 3(100s) Helpful
Piercing 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 morsel ( referable per 100 conspire) \$61 \$58 \$80 \$64
Questions
1. Coercionmulate the drift as a direct program with a acquisition maximization as an concrete.
2. How divers morsel conspirees expressions the aggregation should result to maximise the sum acquisition gift?
3. Are there any engagements which are stringent?
4. Interpret the lax and /or residue in each engagement.
5. Find the ranges in which the acquisition gifts can veer externally important the present cemation cunning.
6. If there is a unanticipated appended require coercion our morsels of expression 2 , we may want either to engage another employee or to interpretation our present employees overterm at the lamination portion. Employees at the lamination portion are quick to result overterm coercion \$1,4 per hour. Would you confirm their demand or refinterpretation it. Justify your counter-argument.
7. The President of the aggregation SLICON VALLEY is wondering whether it is potential to bear more flexibility in cemation to answer amend to the trade and shortage of instrument. Could you intend coercion him resource cemation cunnings?
8. If the acquisition gift of morsel expression 2 is acceptiond by \$ 1. What gain be the impression on our present cunning?
9. If the whole of term helpful at the Lamination portion is decreased by 40 hours becainterpretation of the shortness of undivided of the employees and in the meanterm the whole of term at the mistake portion is acceptiond by 50 hours, what gain be the impression on our present optimal cunning?
10. The Tradeing superintendent is an executive M.B.A. ward at our Campus in Warsaw is sumly regular that supple a innovating expression of morsel (expression 5), gain acception tremendously the sum acquisition of the aggregation. If the cemation of undivided conspire of expression 5 morsel (100) requires 80units of Piercing Wafers portion, 20 hours at the Etching portion, 10 hours at the lamination portion, and 10 hours at the mistake portion its specific acquisition gift is \$70, would you stay his impulse? Explain.
Combined Report coercion SILICON VALLEY A

Decision Solution Unit Consume or Sum Reduced Basis Allowable Allowable
Variable Value Acquisition c(j) Gift Consume Status Min. c(j) Max. c(j)
1 X1 0 61,0000 0 0 at spring -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 Lax Shadow Allowable Allowable
Engagement Side Direction Side or Residue 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 Consume or Sum Reduced Basis Allowable Allowable
Variable Value Acquisition c(j) Gift Consume 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 spring -M 64,0000

Concrete Function (Max.) = 2 570,0000
Left Hand Right Hand Lax Shadow Allowable Allowable
Engagement Side Direction Side or Residue 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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