WHO'S THE SMARTEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!You want to start a lawn and land-scaping business. Your initial investment, including mowers, rakes, and other supplies, will cost $9500. For each lawn you mow, you project that you will spend $5.50 on gas as well as $7.50 in labor costs. You can charge $55 for each lawn. Let x be the number of lawns you mow.

For this business venture:
a. Write the cost function, C(x).
b. Write the revenue function, R(x).
c. Determine the break-even point. Describe what this means

Question

WHO'S THE SMARTEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!You want to start a lawn and land-scaping business.  Your initial investment, including mowers, rakes, and other supplies, will cost $9500.  For each lawn you mow, you project that you will spend $5.50 on gas as well as $7.50 in labor costs.  You can charge $55 for each lawn.  Let x be the number of lawns you mow.

For this business venture:
a. Write the cost function, C(x).
b. Write the revenue function, R(x).
c. Determine the break-even point. Describe what this means

anonymous · Answer

$$C(x)=9500+13x$$
$$R(x)=55x$$ set them equal to get the break even point

anonymous · Answer

55x=9500+13x
42x=9500
x=226
55(226)=12,430
breakeven, is 226,12,430