Question

Question #0cfc6

Answer 1

Minimum value: `(-9)`

Explanation:

Note that `C=-2x+y` is linear so its maximum and minimum values will occur at the boundary limits for `x` and `y`

For the minimum value of `C`
each of the terms must be minimum;

that is:
we need the minimum value of `(-2x)`
`color(white)("XXX")` with `x in [-5,4]`
`color(white)("XXX")rarr x=4`
and the minimum value of `y`
`color(white)("XXX")` with `y in [-1,3]`
`color(white)("XXX")rarr y=-1`

If `(x,y)=(4,-1)`
then `C= (-2) * 4 + (-1) = -9`