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:
- Annie- 17 hours, Brian- 3 hours
Step-by-step explanation:
Let the number of hours Annie travelled be a, and same of Brian be b
<u>Then we have</u>
<u>Substituting a in the first equation</u>
- 5b + 2 + b = 20
- 6b = 20 - 2
- 6b = 18
- b = 3
<u>Then finding a</u>
<u>So the answer is:</u>
- Annie- 17 hours, Brian- 3 hours
We can follow the following steps to make an equation and solve it.
Step 1:
five less than 13 means we have to subtract 5 from 13
so it becomes 13-5
Step 2:
A number y is five less than thirteen.
Now in algebraic expressions, "is" stands for "="
So we have:
Step 3:
Solving the equation to find y.
Subtracting 5 from 13, we get :
y=8
Answer:
For the given equation the solution is y=8.
Answer:
The square root of three is irrational.
Step-by-step explanation:
You plug in the values for x in each respective equation.
a) f(3) = 3 + 1 which equals: 4.
so, f(3) = 4
b) g(3) = (3)^2 - 3 which equals 9 - 3, which equals 6.
so, g(3) = 6.
hope this helps! (:
