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

The demand function of a commodity at price P is given as, D = `40 - "5P"/8`. Check whether it is increasing or decreasing function.

The total cost function for production of x articles is given as C = 100 + 600x – 3x² . Find the values of x for which total cost is decreasing.

The manufacturing company produces x items at the total cost of ₹ 180 + 4x. The demand function for this product is P = (240 – x). Find x for which revenue is increasing

The total cost of manufacturing x articles C = 47x + 300x² – x⁴ . Find x, for which average cost is decreasing

Find the price, if the marginal revenue is 28 and elasticity of demand is 3.

If the demand function is D = `((p + 6)/(p − 3))`, find the elasticity of demand at p = 4.

Find the price for the demand function D = `((2"p" + 3)/(3"p" - 1))`, when elasticity of demand is `11/14`.

If the demand function is D = 50 – 3p – p². Find the elasticity of demand at p = 5 comment on the result.

If the demand function is D = 50 – 3p – p². Find the elasticity of demand at p = 2 comment on the result

For the demand function D = 100 – `p^2/2`. Find the elasticity of demand at p = 10 and comment on the results.

For the demand function D = 100 – `"p"^2/2`. Find the elasticity of demand at p = 6 and comment on the results.

A manufacturing company produces x items at a total cost of ₹ 40 + 2x. Their price is given as p = 120 – x. Find the value of x for which revenue is increasing.

A manufacturing company produces x items at a total cost of ₹ 40 + 2x. Their price is given as p = 120 – x. Find the value of x for which profit is increasing.

A manufacturing company produces x items at a total cost of ₹ 40 + 2x. Their price is given as p = 120 – x. Find the value of x for which also find an elasticity of demand for price 80.

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) I ; When I = 1000.

Fill in the blank:

A road of 108 m length is bent to form a rectangle. If the area of the rectangle is maximum, then its dimensions are _______.

Evaluate: `int (2"x" + 1)/(("x + 1")("x - 2"))` dx

Evaluate:

`int (2x + 1)/(x(x - 1)(x - 4)) dx`.

Evaluate: `int ("x"^2 + "x" - 1)/("x"^2 + "x" - 6)` dx

Evaluate:

`int x/((x - 1)^2(x + 2)) dx`