HSC Commerce Class 11 - Tamil Nadu Board of Secondary Education Question Bank Solutions for Business Mathematics and Statistics

For the demand function p x = 100 - 6x², find the marginal revenue and also show that MR = p`[1 - 1/eta_"d"]`

Average fixed cost of the cost function C(x) = 2x³ + 5x² – 14x + 21 is:

Marginal revenue of the demand function p = 20 – 3x is:

If demand and the cost function of a firm are p = 2 – x and C = -2x² + 2x + 7 then its profit function is:

If the demand function is said to be inelastic, then:

The elasticity of demand for the demand function x = `1/"p"` is:

Relationship among MR, AR and ηd is:

For the cost function C = `1/25 e^(5x)`, the marginal cost is:

Instantaneous rate of change of y = 2x² + 5x with respect to x at x = 2 is:

If the average revenue of a certain firm is ₹ 50 and its elasticity of demand is 2, then their marginal revenue is:

Profit P(x) is maximum when

Average cost is minimum when:

A company begins to earn profit at:

The demand function is always

If (n+2)! = 60[(n–1)!], find n

How many five digits telephone numbers can be constructed using the digits 0 to 9 If each number starts with 67 with no digit appears more than once?

How many numbers lesser than 1000 can be formed using the digits 5, 6, 7, 8, and 9 if no digit is repeated?

If nP₄ = 12(nP₂), find n.

In how many ways 5 boys and 3 girls can be seated in a row, so that no two girls are together?

How many 6-digit telephone numbers can be constructed with the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 if each numbers starts with 35 and no digit appear more than once?