Question

Find the minimum and maximum value of Z= y + 5x, under the constraints y-x<=3,y-6x=>12and x,y>=0
a) Max. = 21 and min = 5
b) max=21 and min = 0
c) max=33 and min = -12
d) max=20 and min = 15​

Answer 1

Answer:

max=21 and min = 0 is the right answer

Answer 2

The correct answer is option (a) Max. = 21 and min = 5.

Explanation:

• The minimum and maximum value of Z= y + 5x, under the constraints y-x<=3,y-6x=>12and x,y>=0 is Max. = 21 and min = 5.
• If f(a) is greater than any value immediately preceding or follwing.
• It is called a "relative" maximum because other values of the function may in fact be greater.
• We say that a function f(x) has a relative minimum value at x = b, if f(b) is less than any value immediately preceding or follwing.
• Hence, the correct answer is option (a) i.e Max. = 21 and min = 5.