In the manufacturer of electronic circuits has a stock of 200 resistors, 120 transistors and 150 capacitors and is required to produce two types of circuits A and B. Type A requires 20 resistors, 10 transistors and 10 capacitors. Type B requires 10 resistros, 20 transistors and 30 capacitors, If the profit on type Acircuit is 50 and that on type B circuit is 60 formulate this problem as LPP, so that hte manufacturer can maximise his profit.

In the manufacturer of electronic circuits has a stock of 200 resistor

1.	In the manufacturer of electronic circuits has a stock of 200 resistors, 120 transistors and 150 capacitors and is required to produce two types of circuits A and B. Type A requires 20 resistors, 10 transistors and 10 capacitors. Type B requires 10 resistros, 20 transistors and 30 capacitors, If the profit on type Acircuit is 50 and that on type B circuit is 60 formulate this problem as LPP, so that hte manufacturer can maximise his profit.
Answer» Solution :LET the manufacture produces x units of type A circuits and y units of type B circuits. Form the given information we have following corresponding constraint table. Thus, we see that total profit Z=50x+60y (in rupee) Now, we have the following mathematical model for the given problem. MaximiseZ=50x+60y .....(i) Subjected to the constraints. `20x+10y LE 200 ["resistors constraint"]` `Rightarrow2x+y le 200.....(ii)` and`10x+20y le 120 ...(ii)` `RIGHTARROW x+2y le 12 ["transitor constraint"]` and `10x+30y le 150 ....(iii)` and `x+3y le 15....(IV)` and`x ge 0, y ge 0["non negative constraint"]...(v)` So, maximise `Z=50x_60y, "subject to" 2x+y le 20, x+2y le 12, x+3y le 15, x ge 0, y ge 0`

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