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After helping his neighbor mow lawns, Joe decides to start his own lawn service business. He decides to start off on a small scale until
After helping his neighbor mow lawns, Joe decides to start his own lawn service business. He decides to start off on a small scale until he has builds up a customer base. Joe calculates his costs to be $2,480 which includes a John Deere riding mower, a leaf blower, edger and weed eater, and miscellaneous yard tools. He figures that it will cost approximately $9 to mow each lawn and will charge on average $40 to each customer. Let x be the number of lawns mowed. Little Facts: In 1837 John Deere (1804-1886) developed what was to become the world's first successful steel plow after having found a broken saw blade in a steel mill in Grand Detour, Illinois. John, from Vermont, was a blacksmith by trade and realized that the cast-iron plows used in the sandy soil of New England did not work in the sticky soil of the Midwest. His highly polished steel blade could clean itself through the Midwest soil; this invention opened up the West to agricultural development. Source: www.deere.com (a) Write the revenue function. R(x)= (b) Write the cost function. C(x)= (c) Use your calculator to complete the following table. (d) Using the table from part (c), find the solution to your system of equations, and interpret the answer. Joe must mow lawns to break even. (e) State the cost and the revenue at the break-even point. The revenue and the cost at the break-even point are both equal to $
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