HSC Commerce: Marketing and Salesmanship इयत्ता १२ वी - Maharashtra State Board Question Bank Solutions

Choose the correct alternative:

The regression line is obtained by

Choose the correct alternative:

The objective of sequencing problem is ______

In sequencing problems one has to ______ the total processing time or cost

In sequencing problem the time which required to complete all the jobs i.e. entire task is called ______

In sequencing problem one has to determine the ______ in which jobs has to processed through the machines

State whether the following statement is True or False:

In sequencing problem the processing times are dependent of order of processing the jobs on machine

Solve the following problem of sequencing for minimizing the total elapsed time and idle time for both the machines.

The optimal sequence of the jobs as follows:

Total elasped time is obtained as follows:

Total elapsed time T = `square` minutes

Idle time for Machine A = T – `square` = `square` minutes

Idle time for Machine B = `square`

Complete the following activity to find MPC, MPS, APC and APS, if the expenditure E_c of a person with income I is given as:

E_c = (0.0003)I² + (0.075)I²

when I = 1000

If elasticity of demand η = 0 then demand is ______.

If f(x) = x³ – 3x² + 3x – 100, x ∈ R then f"(x) is ______.

If 0 < η < 1 then the demand is ______.

Evaluate`int(5x^2-6x+3)/(2x-3)dx`

In a factory, for production of Q articles, standing charges are ₹500, labour charges are ₹700 and processing charges are 50Q. The price of an article is 1700 - 3Q. Complete the following activity to find the values of Q for which the profit is increasing.

Solution: Let C be the cost of production of Q articles.

Then C = standing charges + labour charges + processing charges

∴ C = `square` 

Revenue R = P·Q = (1700 - 3Q)Q = 1700Q- 3Q²

Profit `pi = R - C = square`

 Differentiating w.r.t. Q, we get

`(dpi)/(dQ) = square`

If profit is increasing , then `(dpi)/(dQ) >0`

∴ `Q < square` 

Hence, profit is increasing for `Q < square` 

Following table shows the all India infant mortality rates (per '000) for years 1980 to 2010:

Fit the trend line to the above data by the method of least squares.

Evaluate.

`int (5x^2 - 6x + 3) / (2x -3) dx`

Evaluate.

`int (5x^2 - 6x + 3)/(2x - 3)dx`

The negation of p ∧ (q → r) is ______________.

find dy/dx if x=e^{2t ,} y=`e^sqrtt`

The equations given of the two regression lines are 2x + 3y - 6 = 0 and 5x + 7y - 12 = 0.

Find:

(a) Correlation coefficient

(b) `sigma_x/sigma_y`

Without using the truth table show that P ↔ q ≡ (p ∧ q) ∨ (~ p ∧ ~ q)