00:01
Let x be the number of air conditioners and y be the number of large fans.
00:19
From the given data we get the objective function.
00:26
Objective function is max z is 25x plus 15y and the constraints are 2x plus y is less than or equal to 140 and 3x plus 2y is less than or equal to 240 and x is greater than 0 and y is greater than or equal to 0.
00:59
Now for the equation 2x plus y equals 140 we have point xy when x is 0 y is 140 and when y is 0 x is 70.
01:09
And for the next equation that is 3x plus 2y equals 240 yet xy as x is 0 y is 120 and when y is 0 it is 80.
01:22
So now plotting these, now let us plot this is the cartesian plane where this is the x axis and this is y axis and this is origin.
01:31
Now with points let this be 80, this be 160 similarly this be 80 and this be 160.
01:42
Now plotting 0, 140 this is 140 must be right line here 0, 140 0, 140 and another is 70, 0 that must be line here 70, 0...