Answer:
x₁ = 20 x₂ = 0
z (min) = 20
Step-by-step explanation:
According to the problem statement:
Let´s call
Objective quiz = x₁ Recall quiz = x₂
First constraint
Quantity of quizzes at least 15
x₁ + x₂ ≥ 15
Second constraint:
Preparation time at least 300 minutes, then
15*x₁ + 30*x₂ ≥ 300
Third constraint
Average score at least 85 points
7*x₁ + 5*x₂ ≥ 85
General constraint x₁ ≥ 0 x₂ ≥ 0
Objective function z is:
z = 1* x₁ + 1,5*x₂ to minimize
The model:
z = x₁ + 1,5x₂ to minimize
Subject to
x₁ + x₂ ≥ 15
15*x₁ + 30*x₂ ≥ 300
7*x₁ + 5*x₂ ≥ 85
Using Atozmax (online solver) we find
x₁ = 20 x₂ = 0
z (min) = 20
For this case we have a function of the form
where:
We simplify eliminating common terms of the numerator and denominator:
We must find the values of the function when:
x = {-2, 0, 3, 5, 7}
So, we have:
For 
:
For 
For 
For 
For 
:
Thus, the values of the function are:
y = {-2, 0, 3, 5, 7}
Answer:
y = {-2, 0, 3, 5, 7}
Answer:
The graph of these two lines will result in PARALLEL LINES, therefore there is NO SOLUTION for this system of linear equations.
Let me know if this helps!
11488, 4pi*r^2/3 is the formula
Answer:
y = x - 3
Step-by-step explanation:
Slope = Rise / run
Slope = 4/4 = 1
y-intercept = -3
y = x - 3
