Answer:
x = 7
y = 3
z (max) = 4950/3 = 1650
Step-by-step explanation:
Let call
x numbers of church goup and
y numbers of Union Local
Then
First contraint
2*x + 2*y ≤ 20
Second one
1*x + 3*y ≤ 16
Objective Function
z = 150*x + 200*y
Then the system is
z = 150*x + 200*y To maximize
Subject to:
2*x + 2*y ≤ 20
1*x + 3*y ≤ 16
x ≥ 0 y ≥ 0
We will solve by using the Simplex method
z - 150 *x - 200*y = 0
2*x + 2*y + s₁ = 20
1*x + 3*y + 0s₁ + s₂ = 16
First Table
z x y s₁ s₂ Cte
1 -150 -200 0 0 = 0
0 2 2 1 0 = 20
0 1 3 0 1 = 16
First iteration:
Column pivot ( y column ) row pivot (third row) pivot 3
Second table
z x y s₁ s₂ Cte
1 -250/3 0 0 200/3 = 3200/3
0 - 4/3 0 -1 2/3 = -20/3
0 1/3 1 0 1/3 = -20/3
Second iteration:
Column pivot ( x column ) row pivot (second row) pivot -4/3
Third table
z x y s₁ s₂ Cte
1 0 0 750/12 700/6 = 4950/3
0 1 0 3/4 -1/2 = 7
0 0 1 -1/4 1/2 = 9/3
Answer:
4 hours
Step-by-step explanation:
if you have $350
you'd subtract 50 por que it's a one time fee.
which leaves with 300
then you'd divide 75 into 300
to see how many hours you'd receive with the remaining of your $300.
which is four.
Lets take it in order:
1) 90 deg because the angle right next to it is a right angle
2) 128 deg becasue of the angle directly across from it
3) x = 180 - 128 = 52 deg
4) 180 = 90 + 52 + x so x = 180 - 90 - 52 = 38
5) 180 = 38 + x so x = 180 - 38 = 142
6) Same as 4
7) Same as 5
Check my math, as I just did it in my head
Let
x = number of common cars
y = number of suvs
we can write the following system of equations
x-y = 12
x = 1.429y
Solving the system we have
x-y = 12
1.429y-y = 12
and (1,429-1) = 12
y = (12) / (1,429-1) = 27.97202797
then,
x = 1429 * (27.97202797)
x = 39.97202797
answer
The number of suvs in the parking lot is 28
9514 1404 393
Answer:
F. x ≤ -5
Step-by-step explanation:
Translating the diagram to more conventional symbols, we have ...
4x +12 ≤ -8
4x ≤ -20 . . . . . . . subtract 12 from both sides
x ≤ -5 . . . . . . . . . divide both sides by 5
