A factory produces three items P,Q and R at two plants A and B . The number of items produced and operating costs per hour is as follows:
It is desired to produce at least 500 items of type P , at least 400 items of type Q and 300 items of type R per day.
Write the objective function and constraints.

A factory produces three items P,Q and R at two plants A and B . The number of items produced and operating costs per hour is as follows: It is desired to produce at least 500 items of type P , at least 400 items of type Q and 300 items of type R per day. Is it a maximisation case or a minimisation case? Why?

A firm produces two different products A and B . Each product has to undergo three operations before it takes the final shape. The profit per unit and time required per unit of each product in each operation is tabulated below: To formulate a linear programming problem write Objective function

A manufacturer has three machine operators A,B and C. The first operator A produces 1% defective items,whereas the other two operator B and C produce 5% and 7% defective items respectively. A is on the job for 50% of the time,B is on the job 30 % of the time and C is on the job for 20% of the time. A defective item is produced,what is the probability that it was produced by A?

(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 where as machine III must be operated for atleast 5 hours a day. She produces only two items M and N each requiring the use of all the three machines. The number of hours required for producing 1 unit of each of M and N on the three machines are given in the following table: She makes a profit of Rs 600 and Rs 400 on items M and N respectively. How many of each item should she produce so as to maximise her profit assuming that she can swll all the items that she produced ? What will be the maximum profit ?

A manufacturur 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 per package on bolts.How many package of each should be produced each day so as to maximise the profit,if he operates his machine for at the most 12 hours a days? By suitable defining the variables write the objective function of the problem.

A firm manufactures two types of products A and B and sells them at a profit of Rs. 5 per unit of type A and Rs. 3 per unit of type B . Each product is processed on two machines M_1 and M_2 . One unit of type A requires one minute of processing time, on, M_1 and two minutes of processing time on M_2 whereas one unit of type B requires one minute of processing time on M_1 and one minute of M_2 . Machines M_1 and M_2 are respectively available for at most 5 hours and 6 hours a day. Find how many, units of each type of product should the firm produce a day, in order, to maximise the profit. Solve thè problem graphically.

A factory manufactures two types of screws, A and B . Each type of screw requires the 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 screws 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 screw A at a profit of Rs 7 and screws B at a profit of Rs 10 . Assuming that he can sell all the screws he manufactures, how many packages of eách type should the factory owner produce in a day in order to maximise his profit? Determine the maximum profit.

A company produces two types of cricket balls A and B.The production time of one ball of type B is double the type A(time in units ).The company has the time to produce a maximum of 2000 balls per day. The supply of raw materials is sufficient for the production of 1500 balls (both A and B) per day. The company wants to make maximum profit by making profit of Rs.3 from a ball type of A and Rs.5 from type B. Then, By defining suitable variables write the objective function.

A company produces two types of cricket balls A and B.The production time of one ball of type B is double the type A(time in units ).The company has the time to produce a maximum of 2000 balls per day.The supply of raw materials is sufficient for the production of 1500 balls (both A and B) per day.The company wants to make maximum profit by making profit of Rs.3 from a ball type of A and Rs.5 from type B.Then, Write the constraints.

A bakery owner makes two types of cakes A and B. Three machines are needed for this purpose.The time (in minutes) requried for making each type of cake in each of the machines is given below: Each machine is available for atmost 6 hours per day. Assume that all cakes will be sold out every day.The bakery owner wants to make maximum profit per day by making 7.50 from type A and 5 from type B. write the object function