Answer:
16,667
Step-by-step explanation:
The company will "break even" when revenue is equal to cost.
R(x) = C(x)
3.2x = 2.6x + 10000 . . . . substitute the given expressions for R(x) and C(x)
0.6x = 10000 . . . . . . . . . . subtract 2.6x
x = 16,666 2/3 . . . . . . . . . divide by 0.6
The company must sell 16,667 lanterns to break even.
-- Machine-X takes 3 minutes for 300 boxes . . . 3/300 = 1/100 minute per box.
-- Machine-Y takes 2 minutes for 300 boxes . . . 2/300 = 1/150 minute per box.
-- 3/150 = 2/100 . . . In 3/150 second, they can make 5 boxes by working together.
-- They need to make 5 boxes (300/5) = 60 times.
-- They'll need to work for 60 times (3/150) minutes.
60 (3/150) = 180/150 = 1.2 minutes = <u>1 minute and 12 seconds</u>.
Answer:
one cup of coffee costs $2, while one bottle of water costs $1
Step-by-step explanation:
We can represent this using two equations:
- Variable <em>x </em>represents cups of coffee, and variable <em>y</em> represents bottles of water.
5<em>x</em> + 2<em>y</em> = 12
4<em>x</em> + 7<em>y</em> = 15
Your answer for the value of <em>x</em> and <em>y</em> should be
<em>x</em> = 2
<em>y</em> = 1
Therefore, one cup of coffee costs $2, while one bottle of water costs $1.
Answer:
4 square feet = 0.444444444 square yards
Step-by-step explanation: