23. Cashewco has two grades of cashew nuts: Grade 1-750 kg and Grade 11-1,200 kg. These are...

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23. Cashewco has two grades of cashew nuts: Grade 1-750 kg and Grade 11-1,200 kg. These are to be mixed in two types of packages of one kilogram each-economy and special. The economy pack consists of grade I and grade II cashews in the proportion of 1 : 3, while the special pack combines the two in equal proportion. The profit margin on the economy and special packs is, respectively, Rs 5 and Rs 8 a pack.

(a) Formulate this as a linear programming problem.

(b) Ascertain graphically the number of packages of economy and special types to be made as will maximise the profits.
Would your answer be different if the profit margin on a special pack be Rs 10?

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