Taltory manufactures two types of screwsA and B, each type requiring the use of twomachines, an automatic and ahand-operated. It takes 4 min on theautomatic and 6 min on the hand-operatedmachines to manufacture a packet of screwA' while it takes 6 min on the automatic and3 min on the hand-operated machine tomanufacture a packet of screw 'B. Eachmachine is available for atmost 4 h on anyday. The manufacturer can sell a packet ofscrew 'A' at a profit of 70 paise and screw'Bat a profit of?1.Assuming that he can sell all the screws hemanufactures, how many packets of eachtype should the factory owner produce in aday in order to maximise his profit?Formulate the above LPP and solve itgraphically and find the maximum profit.

Taltory manufactures two types of screwsA and B, each type requiring t

1.	Taltory manufactures two types of screwsA and B, each type requiring the use of twomachines, an automatic and ahand-operated. It takes 4 min on theautomatic and 6 min on the hand-operatedmachines to manufacture a packet of screwA' while it takes 6 min on the automatic and3 min on the hand-operated machine tomanufacture a packet of screw 'B. Eachmachine is available for atmost 4 h on anyday. The manufacturer can sell a packet ofscrew 'A' at a profit of 70 paise and screw'Bat a profit of?1.Assuming that he can sell all the screws hemanufactures, how many packets of eachtype should the factory owner produce in aday in order to maximise his profit?Formulate the above LPP and solve itgraphically and find the maximum profit.
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