uppose A is a 3 x 3 matrix with real entries that has a complex eigenvalue -3+8i with corresponding eigenvector -1 7i Find another eigenvalue and eigenvector for A. Eigenvalue = Eigenvector =
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Subject : algebra
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Find another eigenvalue and eigenvector for A.
Eigenvalue =
Eigenvector =
-2-91
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- QUESTION FOUR With the use of some practical examples, compare and contrast a one tier board with a two tier one and outline the advantages and disadvantages of either QUESTION FIVE The selection of a board chairperson must be done with the strictest and utmost caution as the type and character of a board chairperson determines the success or failure of a board. Explain. QUESTION SIXQuestion 35 In a Goal Program formulation, what statement below best represents a situation in which the Weight factor for a particular % Deviation is given a particularly high value? Cannot be determined (subject to problem data) It begins to approach a Hard Constraint It will distort the Decision Variable solution At some value the Solver solution will be infeasibleQUESTION 8 In the long run, firms will expand as long as there are more. O economies of scale; zero profits O diseconomies of scale; zero profits O economies of scale; positive economic profits O diseconomies of scale; positive economic profits and new firms will enter the industry as long as they earn.
- Question 5 You are receiving an shipment and come across a box of shaving cream. What should you do? Please choose all that apply. Receive the shaving cream Raise an Andon CSecure it well with bubble wrap after scanning it in O Note is as Flammable on your workstation Submit185. Subject :- AccountingQuestion No.2. Solve using the simplex method. z = 2x, - x2 + 2x3 Objective function subject to the constraints 2x, + x2 S 10 x, + 2r, - 2r, S 20 Constraints X2 + 2r3 = 5 where x, 2 0, x, 2 0, and x, 0.
- Question 3 A Company produces five products using two machines, two raw materials and labour. The profit per unit for each product, availability of each resource and the requirement of each resource for each product are as below Excel sheet. In addition, each product has a maximum market demand. The company does not wish to exceed this for any product. The objective is to maximise profit subject to availability of resources and market demands. A 1 2 Prod 1 3 Prod 2 4 Prod 3 5 Prod 4 6 Prod 5 7 8 B 15. 384615 30. 769231 9 10 Prod 1 11 Prod 2 12 Prod 3 13 Prod 4 14 Prod 5 15 16 17 18 Total Profit 19 2838. 4615 0 200 100 C D Max Market Profit/unit 100 50 50 200 100 Machine Machine 2 0.3 0.5 0.4 0.5 0.4 0.8 0.6 0.9 0.5 0.4 $6.00 $8.00 $5.00 $9.00 $7.00 E F Material 1 Material 2 Labour 0.5 0.7 0.4 0.8 0.2 0.9 0.3 0.6 0.4 0.5 Machine 160 K Machine 170.76923< Material 1 120< Material 2 205.38462 Labour 137. 69231 0.6 0.6 0.5 G 0.4 0.3 H I Avail 160 400 120 280 300Question 3 a) An electronics firm produces electronic components, which it supplies to various electrical manufacturers. Quality control records. indicate that different employees produce different numbers of defective items. The average number of defects produced by each employee for each of six components is given in the following table: Employee 1 2 3 4 5 6 A 30 22 18 14 25 32 B 24 28 22 18 14 Component C 25 18 D 26 30 14 23 14 E 30 20 12 21 16 18 (i) Draw a network diagram for the problem (ii) Del Formulate a linear programming mathematical model for solving the problem. Enter F 22 13 22 30 28 20 End +Question 27 Variable cells Final Reduced Objective Allowable Allowable Value Cost Coefficient Increase Decrease Cell Name $B$6 Activity 1 0 425 500 1E+30 425 $C$6 Activity 2 27.5 0.0 300 500 300 $D$6 Activity 3 0 250 400 1E+30 250 Constraints Final Shadow Constraint Allowable Allowable Value Price R.H. Side Increase Decrease Cell Name $E$2 Benefit A 110 0 60 50 1E+30 $E$3 Benefit B 110 75 110 1E+30 46 $E$4 Benefit C 137.5 0 80 57.5 1E+30 If the coefficient for Activity 2 in the objective function changes to $400, then the objective function value: A) will increase by $100. B) will increase by $7,500. OC) will remain the same. D) will increase by $2,750.