The cost function for a certain commodity is C ( x ) = 12 + 3 x - 1 3 x 2 Write down the total cost, fixed cost, variable cost and average cost when 3 units are produced.

Given, cost function C ( x ) = 12 + 3 x - 1 3 x 2 When x = 3 Total cost = 12 + 3 ( 3 ) - 3 2 3 = 18 Fixed cost means no units are produced i.e. x = 0 Fixed cost = 12 Variable cost = Total cost - Fixed cost = 18 - 12 = 6 Avearge cost = Total cost Number of units = 18 3 = 6 Hence, total cost is ₹ 18 , fixed cost is ₹ 12 , variable cost is ₹ 6 and average cost is ₹ 6 .

The cost function for a certain commodity is C ( x ) = 12 + 3 x - 1 3 x 2 Write down the total cost, fixed cost, variable cost and average cost when 3 units are produced.

Given, cost function C ( x ) = 12 + 3 x - 1 3 x 2 When x = 3 Total cost = 12 + 3 ( 3 ) - 3 2 3 = 18 Fixed cost means no units are produced i.e. x = 0 Fixed cost = 12 Variable cost = Total cost - Fixed cost = 18 - 12 = 6 Avearge cost = Total cost Number of units = 18 3 = 6 Hence, total cost is ₹ 18 , fixed cost is ₹ 12 , variable cost is ₹ 6 and average cost is ₹ 6 .

The total cost of producing and marketing x units of commodity is given by C = 2 x + 1 5 x 2 + 5 e . Find the total cost of producing 5 units.

Given, cost function is C = 2 x + 1 5 x 2 + 5 e We have to find cost of producing 5 units. It means x = 5 ∴ C = 2 ( 5 ) + 1 5 ( 5 ) 2 + 5 e = 15 + 5 e Hence, total cost of producing 5 units is 15 + 5 e .

The total cost of producing and marketing x units of commodity is given by C = 2 x + 1 5 x 2 + 5 e . Find average cost of producing 5 units.

Given, cost function is C = 2 x + 1 5 x 2 + 5 e We have to find average cost of producing 5 units. It means x = 5 Total cost C = 2 ( 5 ) + 1 5 ( 5 ) 2 + 5 e = 15 + 5 e Average cost = 15 + 5 e 5 = 3 + e Hence, average cost of producing 5 units is 3 + e .