Consider a small unit of a factory where there are employees, a superivisor ans four laboures. The labourers draw salary of rs9,000 per month each while the supervisor get rs 23,000 per month. Calculate median salary of this unit of factory.

A man is appointed in a job with a monthly salary of certain amount and a fixed amount of annual increment. If his salary was Rs 19,800 per month at the end of the first month after 3 years of service and Rs 23,400 per month at the end of the first month after 9 years of service find his starting salary and his annual increment. (Use matrix inversion method to solve the problem.)

The monthly income of A and B are in the ratio 3:4 and their monthly expenditures are in the ratio 5:7 . If each saves Rs. 5,000 per month, find the monthly income of each .

A manufacturing company makes tow models A and B of product. Each piece of model A reqwuires 9 labour hours for fabricating and 1 hour labour for finishing . Each piece of model Brequires 12 labour hours for fabricating and 3 labour hours for fininshing. for fabricating and finishing, the maximum labour hours available are 180 and 30 respectively. The company makes a profit of Rs. 8,000 on each piece of modle A and Rs 12,000 on each piece of model B. How many pieces of model A and B should be manufactured per week to realise a maximum profit ? What is the maximum profit per week ?