Answer:
x/4 + 1
Step-by-step explanation:
Answer:
z (min) = 360 x₁ = x₃ = 0 x₂ = 3
Step-by-step explanation:
Protein Carbohydrates Iron calories
Food 1 (x₁) 10 1 4 80
Food 2 (x₂) 15 2 8 120
Food 3 (x₃) 20 1 11 100
Requirements 40 6 12
From the table we get
Objective Function z :
z = 80*x₁ + 120*x₂ + 100*x₃ to minimize
Subjet to:
Constraint 1. at least 40 U of protein
10*x₁ + 15*x₂ + 20*x₃ ≥ 40
Constraint 2. at least 6 U of carbohydrates
1*x₁ + 2*x₂ + 1*x₃ ≥ 6
Constraint 3. at least 12 U of Iron
4*x₁ + 8*x₂ + 11*x₃ ≥ 12
General constraints:
x₁ ≥ 0 x₂ ≥ 0 x₃ ≥ 0 all integers
With the help of an on-line solver after 6 iterations the optimal solution is:
z (min) = 360 x₁ = x₃ = 0 x₂ = 3
The solution is ![(1,1)](https://tex.z-dn.net/?f=%281%2C1%29)
Step-by-step explanation:
The system of linear equation is
and ![y+\frac{1}{3} y=\frac{4}{3}](https://tex.z-dn.net/?f=y%2B%5Cfrac%7B1%7D%7B3%7D%20y%3D%5Cfrac%7B4%7D%7B3%7D)
Using substitution method, let us substitute
in the equation
![y+\frac{1}{3} y=\frac{4}{3}](https://tex.z-dn.net/?f=y%2B%5Cfrac%7B1%7D%7B3%7D%20y%3D%5Cfrac%7B4%7D%7B3%7D)
![-3 x+4+\frac{1}{3}(-3 x+4)=\frac{4}{3}](https://tex.z-dn.net/?f=-3%20x%2B4%2B%5Cfrac%7B1%7D%7B3%7D%28-3%20x%2B4%29%3D%5Cfrac%7B4%7D%7B3%7D)
Multiplying the term
by
, we get,
![-3 x+4-x+\frac{4}{3}=\frac{4}{3}](https://tex.z-dn.net/?f=-3%20x%2B4-x%2B%5Cfrac%7B4%7D%7B3%7D%3D%5Cfrac%7B4%7D%7B3%7D)
Subtracting both sides by
,
![-3x+4-x=0](https://tex.z-dn.net/?f=-3x%2B4-x%3D0)
Simplifying, we get,
![\begin{aligned}-4 x+4 &=0 \\-4 x &=-4 \\x &=1\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D-4%20x%2B4%20%26%3D0%20%5C%5C-4%20x%20%26%3D-4%20%5C%5Cx%20%26%3D1%5Cend%7Baligned%7D)
Now, substitute
in ![y=-3x+4](https://tex.z-dn.net/?f=y%3D-3x%2B4)
![y=-3(1)+4\\y=-3+4\\y=1](https://tex.z-dn.net/?f=y%3D-3%281%29%2B4%5C%5Cy%3D-3%2B4%5C%5Cy%3D1)
Thus, the solution is ![(1,1)](https://tex.z-dn.net/?f=%281%2C1%29)
I think that u might want to do the share the company money i could be wrong but if i sm sorry
Answer:
1/2 or 0.5
Step-by-step explanation: