In a certain mill the cost C is thousands of dolllars of producing x tons of steel is given by c=0.3x+3.5. The revenue R in thousands of dollars from selling x tons is given by r=0.5x
Find the point at which r=c (the break even point)
2007-06-07 12:35:43 · 7 answers · asked by Amy M 5 in Science & Mathematics ➔ Mathematics
since you have r and c in terms of x you substitute them in for r and c in the equation r=c
.5x=.3x+3.5
Now you subtract .3x from both sides.
.2x=3.5
Then you divide each side by .2
x=17.5
Therefore at 17.5 tons of steel r=c
2007-06-07 12:40:19 · answer #1 · answered by Anonymous · 0⤊ 0⤋
Amy - come on now...if r=c, simply put the two equations together and solve for x. 0.3x+3.5=0.5x, reduced that's 3.5=0.2x, or x=17.5...
2007-06-07 19:43:01 · answer #2 · answered by slowly 1 · 0⤊ 1⤋
0.3x + 3.5 = c = r = 0.5x
0.3x + 3.5 = 0.5x
3.5 = 0.2x
x = 17.5
2007-06-07 19:39:34 · answer #3 · answered by Philo 7 · 1⤊ 0⤋
c=0.3x+3.5
r=0.5x
0.3x=0.5x
x=0
2007-06-07 20:06:47 · answer #4 · answered by Anonymous · 0⤊ 0⤋
c=0.3x+3.5
r=0.5x
0.3x=0.5x
x=0
2007-06-07 19:40:26 · answer #5 · answered by Anonymous · 0⤊ 1⤋
.5x = .3x +3.5
.2x = 3.5
x = 17.5 tons
2007-06-07 19:42:08 · answer #6 · answered by ironduke8159 7 · 0⤊ 0⤋
c= 0.050
2007-06-07 19:40:30 · answer #7 · answered by Anonymous · 0⤊ 0⤋