A pecan store producer finds that the marginal revenue, in dollars, from the production and sale of $\displaystyle {x}$ pounds of pecans is given by

$\displaystyle {R}'{\left({x}\right)}={6}{x}^{{{1}/{6}}}$

a) Find the revenue when 348 lb of pecans are produced and sold.

$

b) A customer orders 348 lb of pecans and later increases the order to 416 lb of pecans. Find the extra profit resulting form the increase in order size.

$