Plug (-6,-5) into the equations to see wich one fits.
y=9/2 x +22
(-5)=9/2(-6) +22
-5=9*-3+22
-5=-27+22
-5=-5
that's how B is the answer. hope this helps :)
Answer:
z - 2*x - 1.5*y = 0 maximize
subject to:
3*x + 5*y ≤ 800
8*x + 3*y ≤ 1200
x, y > 0
Step-by-step explanation:
Formulation:
Kane Manufacturing produce x units of model A (fireplace grates)
and y units of model B
quantity Iron cast lbs labor (min) Profit $
Model A x 3 8 2
Model B y 5 3 1.50
We have 800 lbs of iron cast and 1200 min of labor available
We need to find out how many units x and units y per day to maximiza profit
First constraint Iron cast lbs 800 lbs
3*x + 5*y ≤ 800 3*x + 5*y + s₁ = 800
Second constraint labor 1200 min available
8*x + 3*y ≤ 1200 8*x + 3*y + s₂ = 1200
Objective function
z = 2*x + 1.5*y to maximize z - 2*x - 1.5*y = 0
x > 0 y > 0
The first table is ( to apply simplex method )
z x y s₁ s₂ Cte
1 -2 -1.5 0 0 0
0 3 5 1 0 800
0 8 3 0 1 1200
I think it is not because it’s also not proportional and they are basically identical except for what b is equal to
The slope of the line that passes through the points, (3, 4) and (-4, -5) is: A. 9/7.
<h3>How to Determine the Slope of a Line?</h3>
The slope of a line can be calculated by using the slope formula, which is given as:
Slope (m) = change in y / change in x or rise / run.
Given that the following points lie on a line:
The slope of the line would be solved using the slope formula as explained below:
Slope (m) = change in y / change in x = (-5 - 4) / (-4 - 3)
m = -9 / -7
Slope (m) = 9/7.
Therefore, the slope is identified as:
a. 9/7.
Learn more about the slope of a line on:
brainly.com/question/28172698
#SPJ1
Answer:
yes correct
Step-by-step explanation:
