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
You basically simplify for this one,18 / ? = 9
18/2=9
So in this case, 8*2 is 16! Hope this helps!
It is a rectangle so its opposite sides are congruent. Because they are congruent we can set them equal to each other and solve for x.
40 = 5x + 10
30 = 5x
6 = x
So the value of x is 6.
Answer:
6.43
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Step-by-step explanation:
length of side x will be
Tan tita = opp/adjacent
tan65 = x/3
tan 65 is 2.14
so...you are left with 2.14=x/3
by cross multiplying
x= 2.14 × 3
= 6.43
Answer:
1
Step-by-step explanation:
So for this type of problem we use the formula 
with each variable (besides m which is slope) representing a different coordinate. (e.g. -3 could be 
in this case.) First, let's define which is which:
(3,2): 
(-2,-3): 
Now we need to replace the variables with their known values: 
Next, let's do the subtraction to simplify: 
And we can complete the division (all fractions are division!) to simplify even further: 
Therefore, the slope of the line passing through the points (3,2) and (-2,-3) is 1.
