The marginal cost $\backslash ($ C$^\{\backslash$prime$\}($q$)\backslash )($in dollars per unit$)$ of producing $\backslash ($ q $\backslash )$ units is given in the following table.

Round your answers to the nearest integers.

$($a$)$ If fixed cost is $\backslash (\backslash$$ $19,000\backslash ),$ estimate the total cost of producing $400$ units.

The cost of producing $400$ units is $\backslash (\backslash$$ $\backslash )$

$($b$)$ To the nearest dollar, how much would the total cost increase if production were increased one unit, to $401$ units?

The total cost increase if production were increased one unit is $\backslash$$