Question

Which vertex will result in the maximum value of the function T = x – 3y?

a. (1.5, 0)
b. (3.5, 4)
c. (0, -3)
d. (0, 4)

Answer 1

(0,-3) will give the maximum value

Explanation:

To know the vertex, we have to substitute the coordinates in the options

we have this as follows

a) (1.5,0)

T = 1.5-3(0) = -1.5

b) (3.5,4)

T = 3.5 - 1)4)

= 3.5 - 4 = -0.5

c) (0,-3)

we have

T = 0-3(-3) = 0 + 9 = 9

d) (0,4)

we have this as:

T = 0 - 3(4) = -12