PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! I CANNOT RETAKE THIS!!
2 answers:
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Answer:
Step-by-step explanation:
We have 2 equations represented by the lines on the graph
5x + 4y = 20
2x - 6y = 12
To plot the first equation on the graph, we a assume different points
4y = 20 - 5x
y = (20-5x)/4
y = 5 - 5x/4
If x =0, y = 5
If x = 2, y = 2.5
If x = 4, y = 0,
These points corresponds to the first line that cuts the positive y axis.
The first line that cuts the positive y axis is represented by the equation,
5x + 4y = 20
Since the left region of the line representing equation is shaded, the unshaded side represents
5x + 4y lesser than 20
To plot the second equation on the graph, we a assume different points
-6y = 12-2x
y = (2x-12)/6 = x/3 - 2
if x= 0, y = -2
If x = 3,y = 1
These points corresponds to the second line that cuts the negative y axis.
The second line that cuts the negative y axis is represented by the equation,
2x -6y = 12
Since the downward region of the line representing the equation is shaded, the unshaded side represents
2x -6y greater than 12
Answer:
His profit in dollars per day is 91.
Step-by-step explanation:
You know that the net profit in dollars per day for a small business owner is given by the equation f(x) = -0.1*x² + 6*x + 1, where x is the number of employees he hires.
If he hires the number of employees that will maximize his profit, then this indicates that I should look for the maximum of the function f (x).
A quadratic function or second degree function is a polynomial function defined as:
f(x)= a*x² + b*x + c
If the scalar a> 0, the parabola opens upwards and the vertex is the minimum of the function. On the other hand, if a <0, the parabola opens downwards and the vertex is the maximum of the function.
In this case, having a value of -0.1, the vertex will indicate the maximum of the function.
The maximum in x is then reached when:
In this case, being a=-0.1 and b=6, you get:
The number of employees who will maximize their profits is 30. So, replacing in the function f (x) you get:
f(30) = -0.1*30² + 6*30 + 1
Solving:
f(30)= 91
<u><em> His profit in dollars per day is 91.</em></u>