Q. 115.0( 1 Vote )

A manufacturer of

Answer :

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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