There are 50 machines in a factory each producing 1000 bolts daily. For each additional machine installed, the output per machine drops by 10 bolts. How many additional machines should be installed to maximize the total output per day? 20            (b)  30         (c)  50       (d)  25

The total cost of producing x radio sets per day is R sdot((x^2)/4 35 x+25) and the price per set at which they may be sold is R sdot(50-x/2)dot Find the daily output to maximize the total profit.

A manufacturer produces nuts and bolts. It takes 2 hours work on machine A and 3 hours on machine B to produce a package of nuts. It takes 3 hours on machine A and 2 hours on machine B to produce a package of bolts. He earns a profit of Rs. 24 per package on nuts and Rs. 18 per package on bolts. How many packages of each should be produced each day so as to maximize his profit, if he operates his machines for at the most 10 hours a day. Make an L.P.P. from above and solve it graphically ?

A mill owner buys two types of machines A and B for his mill, Machines A occupies 1,000 sq.m of area and requires 12 men to operate it, while machine B occupies 1,200 sq.m of area and requires 8 men to operate it. The owner has 7,600 sq.m of area available and 72 men to operate the machines. If machine A produces 50 units and machine B produces 40 units daily, how many machines of each type should he buy to maximize the daily output? Use Linear Programming to find the solution.

A factory owner purchases two types of machines, A and B, for his factory. The requirements and limitations for the machines are as follows: He has an area of 7600 sq. m available and 72 skilled men who can operate the machines. To find how many machines of each type should he buy to maximize the daily output, formulate this as a L.P.P.

A manufacturer produces nuts and bolts. It takes 1 hour of work on machine A and 3 hours on machine B to produce a package of nuts. It takes 3 hours on machine 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 his profit, if he operates his machine for at most 12 hours a day?

Raghu has enough money to buy 75 machines worth Rs. 200 each. How many machines can he buy if he gets a discount of Rs. 50 on each machine ?

A factory has three machines X, Y, and Z producing 1000, 2000 and 3000 bolts per day respectively. the machine X produces 1% defective bolts, Y produces 1.5% and Z produces 2% defective bolts. At the end of a day, a bolt is drawn at random and is found to be defective. What is the probability that this defective bolt has been produced by machine X?

A manufacturer makes two types of toys A and B. Three machines are needed for this purpose and the tune (in minutes) required for each toy on the machines is given below: Each machine is available for a maximum of 6 hours per day. If the profit

A company manufactures two types of toys A and B. A toy of type A requires 5 minute for cutting and 10 minute for assembling. A toy of type B requires 8 minute for cutting and 8 minutes for assembling. There are 3 hours available for cutting and 4 hours available for assembling th etoys in a day. The profit is Rs 50 each on a toy of Type A and Rs 60 each on a toy of type B. How many toys of each type should the company manufacture in a day to maximize the profit ? Use linear programming to find the solution.