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Refers to question 11. How many of circuit of type A and of type B, should be produced by the manufacture, so as to maximise hi profit? Determine the profit.

Answer»


Solution :Referrein to solution 11, we have
Maximise Z=50x+60y, subject to `2x+y le 20, x+2y le 12, x+3y le 15 , x ge 0, y ge 0`
From the shaded region it is CLEAR that feasible region determine by the system of constraints is OABCD and is bouned and the COORDINATES of corner points are (0,0) (10,0), `((28)/(3),(4)/(3))`,(6,3)and (0,5) respectively.
`"since" x+2y=12 and 2x+y=20 Rightarrow x=(28)/(3),y=(4)/(3)and x+3y=15 and x+2y=12 Rightarrow y=3 and x=6]


Since, the manufacture is required to produce two types of CIRCUITS A and B it is clear that parts of resistor, transistor and capacitor cannot be in friction, so the required MAXIMUM profit is 480 where circuits of types B is 3.


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