The demand and supply function of a commodity are p_d = 18− 2x − x² and p_s = 2x − 3 . Find the consumer’s surplus and producer’s surplus at equilibrium price.

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

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

A company has determined that marginal cost function for x product of a particular commodity is given by MC = 125 +10x − \(\frac { { x }^{ 2 } }{ 9 } \). Where C is the cost of producing x units of the commodity. If the fixed cost is Rs. 250 what is cost of producing 15 units

Find the area of the region bounded by the curve between the parabola y = 8x² − 4x + 6 the y-axis and the ordinate at x = 2.