The profit, $\displaystyle {P}$, given in hundreds of dollars, of a company is given by

$\displaystyle {P}$ = $\displaystyle {f{{\left({x}\right)}}}$ = $\displaystyle -{0.5}{x}^{{4}}+{4}{x}^{{3}}-{4}{x}+{2}$ where $\displaystyle {x}$ is the number of units they sell. They find that their demand function giving the number of units sold at a price $\displaystyle {p}$ is given by $\displaystyle {x}$ = $\displaystyle {g{{\left({p}\right)}}}$ = $\displaystyle {48}-{12}{p}$ where $\displaystyle {p}$ is measured in thousands of dollars.

(a) $\displaystyle {f{{\left({g{{\left({3.95}\right)}}}\right)}}}=$ Preview Question 6 Part 1 of 3  
Enter your answer as a decimal rounded off to 2 decimal places.


(b) Which of the following gives the best interpretation of  $\displaystyle {f{{\left({g{{\left({3.95}\right)}}}\right)}}}$.

(c) To make a profit of $19,400 they should set the price at $.
Round your answer off to the nearest whole number.