Question

In: Statistics and Probability

MCQ Which of the following constraint is not linear    x + 2y ≤ 8          5y≤ 11...

MCQ

Which of the following constraint is not linear

   x + 2y ≤ 8

         5y≤ 11

   3xy + 2y≤ 9

   x + y ≤ 2

q2.     When the value of the Correlation coefficient r =0, then it has

Perfect positive correlation

No correlation

Positive correlation

Perfect negative correlation

q3

A furniture manufacturer produces two types of display cabinets Type A and Type B Each month x of type A and y of type B are produced. Profit on type A is 300SR and profit on type B is 150SR. The following constraints control monthly production :(i)              Not more than 50 display cabinets of type A and 40 display cabinets of type B can be made

(ii)            To show a profit at least 60 display cabinets in all must be made.

(iii)           The maximum number of display cabinets that can be produced is 80.

How many display cabinets of type A must be produced per month to maximize the profit:

80

50

30

40

q4

For the following Linear programming problemObjective to Maximize p= 50x + 20y

Subject to 20x + 40y ≤ 4000

                 100x + 50y ≤ 8000

                               x ≤ 60

                         x , y ≥ 0

Find which one is the optimal solution

( 60,40)

( 60,0 )

( 40,80 )

( 0, 100)

q5

  The following table shows the number of Motor registrations in a certain territory and the sales of Motor tyres by a firm in that territory,

Motor Registrations(x)

600

630

720

750

800

Number of Tyres sold(y)

1250

1100

1300

1350

1500

then the regression equation to estimate the sale of tyres when the motor registration is known is given by

  y = 1.4928x + 255.04

   y = 2.4444x + 355.09

   y = 3.4229x + 155.04

   y = 5.5674x + 786.09

q6

Most systems use a queue discipline known as

   Earliest due date

   Critical ratio

    Shortest processing time

   FIFO

q7

If the utilization factor for any M/M/1 model is 0.85 , then the percent idle time must be

0.25

0.15

0.45

None of the above

q8

Which of the following equalities is correct

SST = SSE + SSR

   SST = SSR – SSR

   SST = SST – SSE

None of the above

Solutions

Expert Solution

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orchestra answered 1 year ago
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