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
Answer:
The last answer choice is correct, I am pretty sure.
Just go on the calculator (like Desmos) and just use the decimals to determine which one is true.
I did the math and I believe the answer is, the y-intercept is 12.3.
The hypotenuse MO is found from the Pythagorean theorem to be
MO = √(12² + 5²) = √(144+25) = √169 = 13
The sine of angle O is the ratio of the opposite side (MN=12) to the hypotenuse (MO=13). The appropriate choice is ...
C. 12/13
