1.

The minimum value of z=10x+25y subject to

Answer»

`0 le x le 3, 0 le y le 3, x+y ge 5 ` is
80
95
105

Solution :Given Z=10x+25y
and subject to `0 le x le 3, 0 le y le 3, x+y ge5`
On TAKING given constraints as equation, we GET the following graph

here, intersecting point of lines x=3 and x+y=5 is A(3,2), intersecting point of lines y=3 and x+y=5 is B(2,3) and intersecting point of lines, x=3 and y=3 is C(3,3). Here, ABCA is the FEASIBLE region whose corner points are A(3,2), B(2,3) and C(3,3)
`{:("Corner points","Z=10x+25y"),(A(3","2),10xx3+25xx2=80" (minimum)"),(B(2","3),10xx2+25xx3=95),(C","3),10xx3+25xx3=105):}`


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