If the Cost of a Commodity Is $C ( x ) = \frac { 1 } { 8 } x ^ { 2 } + 3 x + 98$

Short Answer

If the cost of a commodity is $C ( x ) = \frac { 1 } { 8 } x ^ { 2 } + 3 x + 98$ dollars when x units are produced and the selling price is $p ( x ) = \frac { 1 } { 3 } ( 75 - x )$ dollars per unit, find the level of production where profit is maximized.