The average cost function associated with producing and marketing x units of an item is given by $AC=2x-11+\frac{50}{x}$ then the marginal cost of 10 items will be :

29

The correct answer is Option (3) → 29

The average cost of a function is,

$AC=2x-11+\frac{50}{x}$

∴ Total cost, $C(x)=AC.x$

$=x(2x-11+\frac{50}{x})$

$=2x^2-11x+50$

$MC=\frac{d}{dx}(2x^2-11x+50)=4x-11$

$MC(10)=4(10)-11=29$