A company manufactures two products Alpha' and 'Beta' Each unit of Alpha requires 1 hour of machining and 2 hours of skilled labour, whereas each unit of Beta uses 2 hours of machining and 1 hour of skilled labour. For the forthcoming month, the machining capacity is limited to 720 hours and the Skilled labour is limit 780 hour. Not more than 320 unit of Alpha can be sold during a month. For the maximization of profits, determine the optimal product mix and maximum profit. Unit contribution from Alpha is 6 and from Beta is 4. Use Simplex method