Question A- Linear Programming is most widely used technique for large number of applications in business industry as well as in various other fields. Describe in brief the steps involved in linear programming problem formulation with an example

Question B- Describe the steps involved in finding Initial Basic Feasible solution by the following methods:
a. North West Corner Rule method
b. Matrix minimum method
c. Vogel's approximation method

Question C- A Service store employs one cashier at its counter. 9 customers arrive on an average every 5 min while the cashier can serve 10 customers in 5 min. Assuming Poisson distribution for arrival rate also exponential distribution for service rate. Find
a. Average number of customers in the system
b. Average number of customers in the queue
c. Average time a customer spends in a system
d. Average time a customer waits before being served