Question

Can someone please help me with an easy question? I will medal the person with the best answer. Thanks!

Find the coordinates of the ordered pair where the minimum value occurs for the equation l = 0.5x – 0.3y, given these constraints:
x – y >(or equal to) -2
x + y >(or equal to) -4
2x – y <(or equal to) 4

(6, 8)
(-3, -1)
(0, 3)
(0, -4)

I believe it is (6,8). Am I right?

Answer 1

@hartnn

Answer 2

why not (-3, -1)
?

Answer 3

ideally the constraints form a shape that has corners. the critical points to test will be at one of these corners.

Answer 4

Because the first one is = 0.6 while (-3,-1) = -1.2. It asks for the minimum value.

Answer 5

and 0,3 is out as it does not satisfy 1st constraint

-1.2 is less than 0.6

Answer 6

choose the least between
-1.2, 0.6, 1.2

Answer 7

oh...sorry I forgot about the fact that it was negative. so it is -1.2 which is (-3,-1)?

Answer 8

yes

Answer 9

Thanks! Can you check one more problem for me?

Answer 10

sure

Answer 11

Considering these two equations:
y – 3x = 4
3y + 2x = 1
Which expression can be substituted for y in the bottom equation of the system to solve the system by substitution?
2/3x + 1
x = 4 – 3x
3x + 4
1 – 2x

It is 3x+4

Answer 12

\(\huge \checkmark \)

Answer 13

Thanks!

Answer 14

welcome ^_^