Question

The cost in dollars to produce x cups of lemonade is represented by the function C(x) = 10 + 0.20x. The revenue in dollars earned by selling x cups of lemonade is represented by the function R(x) = 0.50x. What is the minimum number of whole cups of lemonade that must be sold for the revenue to exceed the cost?

x= __________cups

Answer 1

The minimum number of cups, x, to recuperate cost is when
C(x)=R(x), or
\(\large 10+0.20x=0.50x\)
solve for x.
The minimum number of cups to exceed the cost is x+1 if x is an integer. Otherwise, round x UP to the next integer.

Answer 2

I still don't understand.......... I'm pretty bad at Algebra

Answer 3

Can you solve the equation for x?
\(\large 10+0.20x=0.50x\)

Answer 4

Nope.....

Answer 5

Here's how you would solve the equation:

1. Isolate x by transposing terms involving unknown x to the left side, and constants to the right by adding and subtracting:
10+0.2x=0.5x
subtract 10 from both sides
10-10+0.2x=0.5x-10
0.2x=0.5x-10
subtract 0.5x from both sides
0.2x-0.5x=0.5x-0.5x-10
-0.3x = -10

2. Solve for x by dividing both sides by the coefficient of x.
-0.3x/(-0.3) = -10/(-0.3)
x=-10/(-0.3)

Can you find x?