John owns a hot dog stand. His profit, in dollars, is given by the function $P(x)=-x^{2}+12 x+46$, where $\mathrm{x}$ is the number of hot dogs sold. What is the most he can earn?
A) $\$ 130$
B) $\$ 58$
C) $\$ 36$
D) $\$ 82$

Question

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The Answer of John owns a hot dog stand. His profit, in dollars, is given by the function $P(x)=-x^{2}+12 x+46$, where $\mathrm{x}$ is the number of hot dogs sold. What is the most he can earn?
A) $\$ 130$
B) $\$ 58$
C) $\$ 36$
D) $\$ 82$

John Owns a Hot Dog Stand P(x)=−x2+12x+46P(x)=-x^{2}+12 x+46P(x)=−x2+12x+46 , Where x\mathrm{x}x Is the Number of Hot Dogs Sold

John Owns a Hot Dog Stand $P(x)=-x^{2}+12 x+46$ , Where $\mathrm{x}$ Is the Number of Hot Dogs Sold