Total profit P is the difference between total revenue R and total cost C. Given the following total-revenue and total-cost functions, find the total profit, the maximum value of the total profit, and the value of x at which it occurs.
R(x)=1300x-x^2
C(x)=3300+20x
Will give brainliest!
-3
step-by-step explanation:
a drawing really does here:
so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be). so point b is at (-2,2). point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).
now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.
we have the area of the triangle is .5bh=12.5
we know the base length is 5 (ab)
we have the height is (2-y) if you look at your
plug in
.5(5)(2-y)=12.5
solve for y to get the y-coordinate for c
2.5(2-y)=12.5
divide both sides by 2.5 giving:
2-y=5
now subtract 2 on both sides
-y=3
y=-3
answer: all of the odd numbers were opened
the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.