HSC Commerce कक्षा १२ - Tamil Nadu Board of Secondary Education Question Bank Solutions for Business Mathematics and Statistics

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

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

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

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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

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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

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The given demand and supply function are given by D(x) = 20 – 5x and S(x) = 4x + 8 if they are under perfect competition then the equilibrium demand is

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If the marginal revenue MR = 35 + 7x – 3x², then the average revenue AR is

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The profit of a function p(x) is maximum when

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For the demand function p(x), the elasticity of demand with respect to price is unity then

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The demand function for the marginal function MR = 100 – 9x² is

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When x₀ = 5 and p₀ = 3 the consumer’s surplus for the demand function p_d = 28 – x² is

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When x₀ = 2 and P₀ = 12 the producer’s surplus for the supply function P_s = 2x² + 4 is

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The producer’s surplus when the supply function for a commodity is P = 3 + x and x₀ = 3 is 

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The marginal cost function is MC = `100sqrt(x)`. find AC given that TC = 0 when the output is zero is

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The demand and supply function of a commodity are P(x) = (x – 5)² and S(x) = x² + x + 3 then the equilibrium quantity x₀ is