The production function is given by f(x) =4x^1/2.If the price of the commodity produced is $80 per unit and the cost of the input is $40 per unit, how much profits will the firm make if it maximizes profits?

A) $318
B) $1,284
C) $640
D) $625
E) $323

Production Function

A mathematical representation that describes the relationship between inputs used in production and the output of goods or services.

Profit Maximization

Profit maximization is an economic principle where businesses aim to achieve the highest profit possible by adjusting production levels, pricing, and other operational decisions.