Jimmy decides to mow lawns to earn money The nt-cost of his lowrmower al Formula

Question

Jimmy decides to mow lawns to earn money The nt-cost of his lowrmower al Formulato a tunction CCX) for the total cost of mowrg·lawns lawns How much does Jimmy charge per lwn? awnnower is $250 Gasoline and maintenance costs ane 54 per S250 Gasew marten ne c) How many lawns must Jimmy mow before he begins making a proftr How much does Jemmy charge per lawn? c) How many lawns must Jmmy mow before he begins making a proft Round to the nearest integer as needed .. I i.I l-fil:/ liu) | More Enter your answer in each of the answer boxes 8 NM Alt Alt

Explanation / Answer

a) The cost function for mowing x lawns is:

C(x) = 4 x + 250

b) As profit is revenue minus cost, the revenue function can be found by adding P(x) and C(x):

R(x) = 9x - 250 + 4x + 250 = 13x

Jimmy is charging $13 per lawn

c)  9x - 250 = 0 ==> x = 250/9 = 27.77

Jimmy will make a profit once he has mowed 28 lawns.

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