A computer company manufactures 180 laptops with the help of 40 engineers in 30 days. How many engineers would be needed to manufacture 2700 laptops in 200 days.

A factory manufactures two types of screws, A and B. Each type of screw requires the use of two machines, an automatic and a hand operated.It takes 4 minutes on the automatic and 6 minutes on hand operated machines to manufacture a package of screw A, while it takes 6 minutes on automatic and 3 minutes on the hand operated machines to manufacture a package of screws B. Each machine is available for at the most 4 hours on any day. The manufacturer can sell a package of screws A at a profit ofRs. 7 and screws B at a profit of Rs. 10. Assuming that he can sell all the screws he manufactures, how many packages of each type should the factory owner produce in a day in order to maximise his profit? Determine the maximum profit.

(Manufacturing problem): A manufacturing company makes two models A and B of a product. Each piece of Model A requires 9 labours for fabricating and 1 labour hour for finishing. Each piece of Model B requires 12 labour hours for fabricating and 3 labour hours for finishing. For fabricating and finishing the maximum labour hors available are 180 and 30 respectively. The company makes a profit of Rs. 8000 on each piece of model Aand Rs. 12000 on each piece of Model B. How many piecesof Model A and Model B should be manufactured per week to realise a maximum profit? What is the maximum profit per week?

A small firm manufactures item A and B. the total number of items that it can manufacture in a day is at the most 24 item. A takes one hour to make while item B takes only half an hour. the maximum time available per day is 16 hour. if the profit on one unit of item A be Rs 300 and that on one unit of item B be Rs 160. how many of each type of item should be produced to maximize the profit solve the problem graphically ?

A manufacturer produces nuts and bolts. It takes 1 hour of worl in machine A and 3 hours on machine B to produce a package of nuts. It take 3 hours on machien A and 1 hour on machine B to produce a package of bolts. He earns a profit of Rs. 17.50 per package on nuts and Rs. 7.00 per package on bolts. How many packages of each should be produced each day so as to maximise bis profit, if he operates his machines for at the most 12 hours a day?

(Manufacturing problem): A manufacturer has three machines. I, II and III installed in his factory. Machines I and II are capable of being operated for at most 12 hours whereas machine III must be operated for atleast 5 hours a day. She produces only two items M and N each requiring the sue of all the three machines. The number of hours required for producing 1 unit of each of M and N on the three machies are given in the follownig table: She makes a profit of Rs. 600 and Rs. 400 on items M and N respectively. How many of each item should be produce so as to maximise her profit assuming that she can sell all the items that she produced? What will be the maximum profit?

Arunbabu used 16 ploughs to cultivate his whole land in 10 days. Find, if the wanted to cultivate the same land in 8 days, how many ploughs he would have needed.

To construct an embankment on a certain part of river Ichhamati, 40 labours are required to work for 35 days, If the work has to be finished in 28 days, let us find how many labours will be needed?

In an engineering college, 80 students get chance for Computer Science, 75 for information Technology, 72 for Electronics. If 60 students get chance in 1st and 2nd, 50 in 2nd and 3rd, 40 in 1st and 3rd and 30 get chance in all three branches, how many seats are there in the engineering college? [The college has only three disciplines.]