Darren Company Produces Three Products with the Following Costs and Selling

Darren Company produces three products with the following costs and selling prices:
$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\text { Products }$
$\begin{array}{lrrrrr}&\text {X}&\text {Y}&\text {Z}\\\text { Selling price per unit } & \$ 40 & \$ 30 & \$ 35 \\\text { Variable costs per unit } & 24 & 16 & 20 \\ \text { Contribution margin per unit } & \$ 16 & \$ 14 & \$ 15\\\text { Direct labor hours per unit } & 4 & 2 & 3 \\\text { Machine hours per unit } & 5 & 7 & 4\end{array}$

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If Darren has a limit of 30,000 machine hours but no limit on units sold or direct labor hours, then the ranking of the products from the most profitable to the least profitable use of the constrained resource is:

A) Y, Z, X.
B) X, Y, Z.
C) X, Z, Y.
D) Z, X, Y.