Here is our profit as a function of # of posters
p(x) =-10x² + 200x - 250
Here is our price per poster, as a function of the # of posters:
pr(x) = 20 - x
Since we want to find the optimum price and # of posters, let's plug our price function into our profit function, to find the optimum x, and then use that to find the optimum price:
p(x) = -10 (20-x)² + 200 (20 - x) - 250
p(x) = -10 (400 -40x + x²) + 4000 - 200x - 250
Take a look at our profit function. It is a normal trinomial square, with a negative sign on the squared term. This means the curve is a downward facing parabola, so our profit maximum will be the top of the curve.
By taking the derivative, we can find where p'(x) = 0 (where the slope of p(x) equals 0), to see where the top of profit function is.
p(x) = -4000 +400x -10x² + 4000 -200x -250
p'(x) = 400 - 20x -200
0 = 200 - 20x
20x = 200
x = 10
p'(x) = 0 at x=10. This is the peak of our profit function. To find the price per poster, plug x=10 into our price function:
price = 20 - x
price = 10
Now plug x=10 into our original profit function in order to find our maximum profit:
<span>p(x)= -10x^2 +200x -250
p(x) = -10 (10)</span>² +200 (10) - 250
<span>p(x) = -1000 + 2000 - 250
p(x) = 750
Correct answer is C)</span>
Brenda need ......... 24 36/48
2 3/4 + 2 3/4 + 2 3/4 + 2 3/4 + 2 3/4 + 2 3/4 + 2 3/4 + 2 3/4 +2 3/4 + 2 /34 + 2 3/4 + 2 3/4 =24 36/48
Answer:
(x + 5, y + 1)
Step-by-step explanation:
As we can see, what we have is a translation
let us pick a point
G( -5,-2)
To;
G’(0,-1)
so the shift on the x-axis is;
(0-(-5)) = 5
shift on the y-axis is;
(-1-(-2) = 1
we have a rightward shift of 5 units on the x-axis and 1 unit on the y-axis
So we have the rule as;
(x + 5, y + 1)
Answer:
No, they're both equal
Step-by-step explanation:
Work shown above! Answer above as well
