Find the sales necessary to break even (R - C = 0)for the cost C of producing x units and the revenue R obtained by selling x units.(Round to the nearest whole unit. ) $$C = 6.7 \sqrt { x } + 3000 , R = 8.1 x$$
A)No real solution
B)387 units
C)355 units
D)377 units
E)355 units or 387 units

Question

Find the sales necessary to break even (R - C = 0)for the cost C of producing x units and the revenue R obtained by selling x units.(Round to the nearest whole unit. )​ $$C = 6.7 \sqrt { x } + 3000 , R = 8.1 x$$ ​
A)No real solution
B)387 units
C)355 units
D)377 units
E)355 units or 387 units

Quizplus · Accepted Answer

To find the break-even point, set $R = C$ and solve for $x$. Thus, $8.1x = 6.7\sqrt{x} + 3000$. Rearranging and solving this equation for $x$ gives us the break-even point in units. After solving, the closest whole unit for the break-even point is 387 units.

Find the Sales Necessary to Break Even (R - C C=6.7x+3000,R=8.1xC = 6.7 \sqrt { x } + 3000 , R = 8.1 xC=6.7x​+3000,R=8.1x

Find the Sales Necessary to Break Even (R - C $C = 6.7 \sqrt { x } + 3000 , R = 8.1 x$