11. plentiful pies determines its annual profits in dollars using p(x) = 65x - 0.3x^2 where x represents the…

11. plentiful pies determines its annual profits in dollars using p(x) = 65x - 0.3x^2 where x represents the numbers of pies sold. if plentiful pies sells 175 pies in a year, what will their annual profits be? p(175) = $2,885.00 p(175) = $2,187.50 p(175) = $1,687.50 p(175) = $2,080.00
Answer
Explanation:
Step1: Substitute x value
Substitute $x = 175$ into $p(x)=65x - 0.3x^{2}$. So $p(175)=65\times175-0.3\times(175)^{2}$.
Step2: Calculate first - term
Calculate $65\times175 = 11375$.
Step3: Calculate second - term
Calculate $(175)^{2}=30625$, then $0.3\times(175)^{2}=0.3\times30625 = 9187.5$.
Step4: Calculate the profit
$p(175)=11375 - 9187.5=2187.5$.
Answer:
$p(175)=$2,187.50$