Greg owns a company that manages public garages and storage units. The company's profitfor managing the public garages is given by thefunctionP(x)=4.5x2+50x?1000?(?)=4.5?2+50??1000where xmeasures the number of months the garages have been managed. On the other hand, thecompany's profit for managing the storage units isgiven by the functionS(x)=2.5x2+50x?2500?(?)=2.5?2+50??2500where x measures the number of months thestorage unitshave been managed. The followingis a graph of both functions, withPrepresented by the solid blue curve andSrepresented by the dashed red curve.

y 25000 P(x) = 4.5x + 50x - 1000 20000 Profit 15000 10000 5000 +0 20 30 40 50 60 70 80 x -5000 Months S(x) = 2.5x + 50x - 2500