Suppose a software development company requires to produce a software with 1,000 lines of a code. The company uses a software developer and invests on external services and other requirements to develop and deploy the software. The amount of work done by a developer is W in hours), and the pay is $10 per hour. The investment on service and other requirements is S (in service-hours), and the price per service-hour is $40. The function g(W,S) = 20 √W√S is the relationship between the work done by the developer and the service used and the lines of code produced. Your task is to find W and S such that the cost of producing software with 1,000 lines of code is MINIMIZED. 

A. Find the objective cost function f(W,S). 

B. Find W and S such that the cost of producing the software is minimized, subject to condition g(W.S).