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 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 the B should be manufactured m a day to get maximum profit.

A manufacturer makes two types of toys A and B. Three machines are nee

1.	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 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 the B should be manufactured m a day to get maximum profit.
Answer» let type A `= x` let type B `= y` Acc to question `12x + 6y <= 360` `18x <= 360` `6x + 9y <= 300` Acc to graph `a(0,40) , b(15,30) ,c(20, 20) , d(20, 0)` to maximize, `7.5x + 5y= 200` `7.5 xx 15 + 5 xx 30 = 262.5` when `A= 15` `B= 30` Answer

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