Assume that a production line operates such that the production lot size model is applicable. Assume that $D=4,900$ units per year, $C_0=$$$100,$ and $C_h=$$$2$ per unit per year.

$($a$)$ Compute the minimum cost production lot size for each of the following production rates. $($Round your answers to the nearest integer.$)$

$($i$)8,000$ units per year

$Q^{**}=|$

$($ii$)10,000$ units per year

$Q^{**}=$

$($iii$)32,000$ units per year

$Q^{**}$ :

$($iv$)100,000$ units per year

$Q^{**}=$

$($b$)$ Compute the EOQ recommended lot size using equation $Q^{**}=\sqrt[\phantom{2}]{\frac{2D{C}_0}{C_h}}.$

$Q^{**}=$

apply.$)$

Production lot size $Q^{**}$ and EOQ $Q^{**}$ are equal.

As production rate $P$ increases, production lot size $Q^{**}$ increases.

Increasing production rate $P$ does not affect production lot size $Q^{**}.$

EOQ $Q^{**}$ is greater than production lot size $Q^{**}.$

Production lot size $Q^{**}$ is greater than EOQ $Q^{**}.$

As production rate $P$ increases, production lot size $Q^{**}$ decreases.