Q. 115.0( 1 Vote )

A manufacturer of

Let the manufacturer produces x units of type A circuits and y units of type B circuits. We make the following table from the given data:

Thus according to the table, the profit becomes, Z=50x+60y

Now, we have to maximize the profit, i.e., maximize Z=50x+60y

The constraints so obtained, i.e., subject to the constraints,

20x+10y≤ 200 [this is resistor constraint]

Now will divide throughout by 10, we get

2x+y≤ 20…………..(i)

And 10x+20y≤ 120 [this is transistor constraint]

Now will divide throughout by 10, we get

x+2y≤ 12…………..(ii)

And 10x+30y≤ 150 [this is capacitor constraint]

Now will divide throughout by 10, we get

x+3y≤ 15…………..(iii)

And x≥0, y≥0 [non-negative constraint]

So, maximize profit, Z=50x+60y,

subject to 2x+y≤ 20,
x+2y≤ 12

x+3y≤ 15

x≥0, y≥0

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