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 A circuit is 50 and that on type B circuit is 60 formulate this problem as LPP, so that hte manufacturer can maximise his profit.

Answer

N/a

Explanation

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.
Maximise Z=50x+60y .....(i)
Subjected to the constraints.
`20x+10y le 200 ["resistors constraint"]`
`Rightarrow 2x+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`