HSC Commerce Class 12 - Tamil Nadu Board of Secondary Education Question Bank Solutions for Business Mathematics and Statistics

Find the revenue function and the demand function if the marginal revenue for x units is MR = 10 + 3x – x²

The marginal cost function of a commodity is given by MC = `14000/sqrt(7x + 4)` and the fixed cost is ₹ 18,000. Find the total cost and average cost

If the marginal cost (MC) of production of the company is directly proportional to the number of units (x) produced, then find the total cost function, when the fixed cost is ₹ 5,000 and the cost of producing 50 units is ₹ 5,625

If MR = 20 – 5x + 3x², Find total revenue function

If MR = 14 – 6x + 9x², Find the demand function

Calculate consumer’s surplus if the demand function p = 50 – 2x and x = 20

Calculate consumer’s surplus if the demand function p = 122 – 5x – 2x², and x = 6

The demand function p = 85 – 5x and supply function p = 3x – 35. Calculate the equilibrium price and quantity demanded. Also, calculate consumer’s surplus

The demand function for a commodity is p = e^–x .Find the consumer’s surplus when p = 0.5

Calculate the producer’s surplus at x = 5 for the supply function p = 7 + x

If the supply function for a product is p = 3x + 5x². Find the producer’s surplus when x = 4

The demand function for a commodity is p =`36/(x + 4)`. Find the consumer’s surplus when the prevailing market price is ₹ 6

The demand and supply functions under perfect competition are p_d = 1600 – x² and p_s = 2x² + 400 respectively. Find the producer’s surplus

Under perfect competition for a commodity the demand and supply laws are P_d = `8/(x + 1) - 2` and P_s = `(x + 3)/2` respectively. Find the consumer’s and producer’s surplus

The demand equation for a products is x = `sqrt(100 - "p")` and the supply equation is x = `"P"/2 - 10`. Determine the consumer’s surplus and producer’s surplus, under market equilibrium

Find the consumer’s surplus and producer’s surplus for the demand function p_d = 25 – 3x and supply function p_s = 5 + 2x

Choose the correct alternative:

If the marginal revenue function of a firm is MR = `"e"^((-x)/10)`, then revenue is

Choose the correct alternative:

If MR and MC denotes the marginal revenue and marginal cost functions, then the profit functions is

Choose the correct alternative:

The demand and supply functions are given by D(x) = 16 – x² and S(x) = 2x² + 4 are under perfect competition, then the equilibrium price x is

Choose the correct alternative:

The marginal revenue and marginal cost functions of a company are MR = 30 – 6x and MC = – 24 + 3x where x is the product, then the profit function is