Question: ( a) Discuss the various ways in which linear programming might be used in aid of business decisions. ( b) A manufacturer produces two products

(

a) Discuss the various ways in which linear programming might be used in aid of business decisions.

(

b) A manufacturer produces two products X and Y in two steps on machines A and B. The processing times for the two products on the two machines are:

Machine A has 80 hours available and B has 120 hours. Product X has profit of `10 per 100 pieces and Y `5 per 10 units. There is no restriction on sales. Formulate the linear programming model and find by simplex method how much of X and Y must the manufacturer produce so as to maximize his profits.

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