HSC Commerce: Marketing and Salesmanship 12th Standard Board Exam - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

If there are n jobs and m machines, then there will be _______ sequence of doing jobs.

Choose the correct alternative:

In solving 2 machine and n jobs sequencing problem, the following assumption is wrong

In assignment problem each worker or machine is ______ capable of handling any job

______ time is the time when the machine is available but is waiting for a job to be processed

In sequencing problem the time required to transfer a job from one machine to another is ______

State whether the following statement is True or False: 

One of the assumptions is made while sequencing n jobs on 2 machines is: two jobs must be loaded at a time on any machine

State whether the following statement is True or False:

The Total Elapsed is the time required to complete all the jobs i.e. entire task

State whether the following statement is True or False:

The idle time for a machine is the when machine is available but is not waiting for any job to be processed

State whether the following statement is True or False: 

In sequencing problem each job once started on any machine must be processed still its completion

State whether the following statement is True or False:

In sequencing problem each machine is of different type

Find the sequence that minimizes total elapsed time to complete the following jobs in the order XY. Find the total elasped time and idle times for each machine.

If p ∨ q is true, then the truth value of ∼ p ∧ ∼ q is ______.

If x = `sqrt(1 + u^2)`, y = `log(1 + u^2)`, then find `(dy)/(dx).`

For certain bivariate data on 5 pairs of observations given:

∑x = 20, ∑y = 20, ∑x² = 90, ∑y² = 90, ∑xy = 76 then b_xy = ______.

Obtain the trend values for the following data using 5 yearly moving averages:

Following table shows the amount of sugar production (in lakh tonnes) for the years 1931 to 1941:

Complete the following activity to fit a trend line by method of least squares:

Which of the following is not a statement?

The complicated but efficient method of measuring trend of time series is ______.

The following table shows gross capital information (in Crore ₹) for years 1966 to 1975:

Obtain trend values using 5-yearly moving values.

The publisher of a magazine wants to determine the rate of increase in the number of subscribers. The following table shows the subscription information for eight consecutive years:

Fit a trend line by graphical method.