A bakery owner makes two types of cakes A and B. three machines are needed for this pupose. The time in (minutes) required for each type of cake in each machine is given below.

Each machines 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 pforit per day by making Rs. 7.5 from type A and Rs. 5 from type B.
a Write the objective function by defining suitable variables.
b Write the constraints.
c Find the maximum profit graphically.

A manufacturer makes two types of toys A and B. Three machines are needed for this purpose and the time 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 on each toy of type A is Rs 7.50 and that on each toy of type B is Rs 5, show that 15 toys of type A and 30 of type B should be manufactured in a day to get maximum profit.

A company produes two types of cricket ball A and B. the production time of one ball of type B is double the type A (Time in units) . The company has a time to produce a maximum 2000 balls per day. The supply of raw material is sufficient for the production of 1500 balls (both A and B) per day. the company wants to make maximum profit by making profit fo Rs 3 from a ball of tye A and Rs. 5 from a ball of type b. Then (i) By defining suitable variables, write the objective function. (ii) Write the constraints. (iii) How many balls should be produced in each type per day in order to get maximum profit ?

What are the two types of buffer? Give an example for each.

Lubricants are used between the two parts of a machine. Why?

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 screws A while its 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 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 each type should the factory owner produce in a day in order to maximise his profit ? Determine the maximum profit.

Make a flow chart to show the types of nitrogen fixation.