HSC Commerce (English Medium) 12th Standard Board Exam - Maharashtra State Board Question Bank Solutions

Which component of time series refers to erratic time series movements that follow no recognizable or regular pattern?

Fill in the blank :

_______ component of time series is indicated by a smooth line.

_______ component of time series is indicated by periodic variation year after year.

_______ component of time series is indicated by a long wave spanning two or more years.

Fill in the blank :

_______ component of time series is indicated by up and down movements without any pattern.

State whether the following is True or False :

The secular trend component of time series represents irregular variations.

State whether the following is True or False :

Seasonal variation can be observed over several years.

Cyclical variation can occur several times in a year.

Irregular variation is not a random component of time series.

Calculate the cost of living index in problem 

Calculate the cost of living index in problem

Calculate the cost of living index in problem

The cost of Living Index Number using Aggregate Expenditure Method is given by ______.

Four new machines M₁, M₂, M₃ and M₄ are to be installed in a machine shop. There are five vacant places A, B, C, D and E available. Because of limited space, machine M₂ cannot be placed at C and M₃ cannot be placed at A. The cost matrix is given below:

Find the optimal assignment schedule.

A company has a team of four salesmen and there are four districts where the company wants to start its business. After taking into account the capabilities of salesmen and the nature of districts, the company estimates that the profit per day in rupees for each salesman in each district is as below:

Find the assignment of salesman to various districts which will yield maximum profit.

In the modification of a plant layout of a factory four new machines M₁, M₂, M₃ and M₄ are to be installed in a machine shop. There are five vacant places A, B, C, D and E available. Because of limited space, machine M₂ cannot be placed at C and M₃ cannot be placed at A. The cost of locating a machine at a place (in hundred rupees) is as follows.

Find the optimal assignment schedule.

Fill in the blank :

An assignment problem is said to be unbalanced when _______.

Fill in the blank :

When the number of rows is equal to the number of columns then the problem is said to be _______ assignment problem.

Fill in the blank :

If the given matrix is not a _______ matrix, the assignment problem is called an unbalanced problem.

Fill in the blank :

A dummy row(s) or column(s) with the cost elements as _______ is added to the matrix of an unbalanced assignment problem to convert into a square matrix.