00:02
In this question, given that z is equal to 4x plus 3y, now we have to find out the value maximum length or maximum value.
00:26
So now with the solution, z is equal to 4x plus 3y, and this belongs between x is less greater or equal minus 1, and y is greater or equal 0 minus x plus 2y is less or equal 5 and 2x plus y is less or equal 10 first we will draw the graph of the line of equation for corresponding to the inequalities so for this so the equation is x equal to minus 1 for y is greater or equal to 0 so this is equal to y is equal to 0 for minus x plus 2y is less or equal to 5 so the equation is minus x plus 2y is equal to 5 and the last one is 4 and this is also equal this is also divided by 5 so this is equal to x divided by minus 5 plus y divided by 5 divided by 2 is equal to 1 and for 2x plus y is less or equal to 10 then the equation becomes 2x plus y is equal to 10 so 10 is divided by both terms so this is equal to x divided by 5 plus y divided by 10 is equal to 1 first we will draw the graph of the equation then we'll draw the reason corresponding to the initial qualities.
02:30
So now i started with the graph and this graph is this is the portion of x.
02:47
This is the portion of y and this is the portion of x.
02:53
Now the graph is this point is 0 minus 1 minus 2 minus 3 minus 4 minus 5 and this is x -dash this is 1 2, 2, 2, 2, 3, minus 4, minus 5 and this is x -stash.
03:11
This is 1, 2, 3, 4, 5 and we only draw only for 5 and here we mention the numbers 1 to 10 so this is 1 2 3 4 5 5 7 8 and 9 and this is the portion of 9 so this is and here this is here and this is line to cut out with 5 and this is 5 and this is line is also drawn with this line and cut with these two graphs.
04:32
So this is minus x plus 2y is equal to 5.
04:36
This point is equal to d minus 1 and 2.
04:40
This line is equal to 2x plus y is equal to 10.
04:44
This point are a, 3 and 4.
04:50
This is the portion of b 5 .0...