13. Three products, A, Band Care produced at three machine centres, X, Yand Z. Each product involves operation at each of the machine centres. The time required for each operation on various products is indicated in the following table:

(a) Formulate a linear programming problem on the basis of above information.

(b) Find out the product mix so as to maximise profit.

(c) Show that the total available hours of X and Y have been fully utilised and there is surplus hours of Z. How many hours are surplus in machine centre Z?

Transcribed Image Text:

Product X Machine centres Y N A 10 7 Profit per unit (Rs) 12 B 2 C 1 Available Hours 100 327 4 3 1 1 77 80