A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, \( x \) , by the given equation. Using this equation, find out the maximum amount of profit the company can make, to the nearest dollar.
\( y = - 12 x ^ { 2 } + 718 x - 5419\)
5321
The velocity, in \( ft / sec \) of a particle is given by \( v ( t ) = \)
\( - 14 t + 2 \) . Find the position function \( s ( t ) \) of the particle if it has an initial position \( s ( 0 ) = 4 \) feet.
\( - 7 t ^ { 2 } + 2 t - 4 \)
\( - 7 t ^ { 2 } + 2 t - 4 \)
\( - 14 t ^ { 2 } + 2 t + 4\)
Calculate the maximum value of \( 4 x + 6 y \) subject to the constraints below:
\( 3 x + y \leq 16 \)
\( x + 3 y \leq 16 \)
\( y \geq 1 \)
\( x \geq 0\)
