A manufacturing company makes two types of teaching aids P and Q of Applied Mathematics for class- XII. Each of type P requires 2 labour hours for fabricating and 2 labour hours for finishing. Each of type Q requires 1 labour hour for fabricating and 3 labour hours for finishing. For fabricating and finishing, the maximum labour hours available per week are 40 and 80 respectively. The company makes a profit of ₹15 and ₹10 on each of type P and Q respectively. (Take x and y be the number of teaching aids of type P and type Q respectively).

The objective function for the LPP to maximise the profit per week is

Maximise $Z= 15x+ 10y$