Question

x, y ≥ 0 20. (11) 2x + 2y subject to the constraints 7x + 3y ≤ 21, x + y ≤ 23, x - y ≤ 0, x, y ≥ 0. Z = 4x + 2y subject to the constraints 8x + 9y ≤ 72, 4x + y ≤ 28, 2x - y ≤ 20. 

          x, y ≥ 0

20. (11) 2x + 2y subject to the constraints 7x + 3y ≤ 21, x + y ≤ 23, x - y ≤ 0, x, y ≥ 0.

Z = 4x + 2y subject to the constraints 8x + 9y ≤ 72, 4x + y ≤ 28, 2x - y ≤ 20.

Added by Manuel V.

Computer Science and Information Technology
Computer Science and Information Technology
Trishna Knowledge Systems 2018 Edition
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x, y ≥ 0 20. (11) 2x + 2y subject to the constraints 7x + 3y ≤ 21, x + y ≤ 23, x - y ≤ 0, x, y ≥ 0. Z = 4x + 2y subject to the constraints 8x + 9y ≤ 72, 4x + y ≤ 28, 2x - y ≤ 20.
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00:01 Here the solution for this question we have given the maximize for 3x plus 4y and we have given the subject constraints as 2x plus y less than equal to 7 here and this is minus x plus y less than equal to 1 x greater than equal to 0 y greater than equal to 0 so first we find the common point for this and then plot the graph so here taking 2x plus y this is equal to 7 now taking here x as 0 then we get the value of y is 7 now taking y as 0 then we get the value of x is 7 by 2 now similarly finding the 2 to 0 .4 each equation here this equal to 1 now here similarly doing this we get this here x and y putting x as 0 we get y as 1 now putting y as 0 we get x as minus of 1 now with this condition is equal to x equal to 0 and y equal to 0 so now from here we can easily plot the graph as in this between these lines so here these are our axis lines here the point 0 .7 x 0 and y 7 let put this is 0 comma 7 point and here x is 7 by 2 mean 3 .5 mean 7 by 2 comma 0 point here now x 0 y 1 this point is here and here our x is minus 1 and y is 0 so this point is here so these will go like here one line like this and the second is like this now for checking the reason we put the we putting 0 comma 0 here the step 2 for this check the reason so first equation is 2x plus y is equal to 7 now putting put 0 comma 0 to check reason so here let wait second the original equation is given as 2x plus y is less than equal to 7 so by putting this 0 is less than equal to 7 this equation is true so our reason for this we have 2x plus y this equation is 2x plus y is equal to 7 and this is our minus x plus y is equal to 1 okay so this is…
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