Chip Company produces three products, Kin, Ike, and Bix. Each product uses the same direct material. Kin uses $4\mathrm{.}9$ pounds of the material, Ike uses $3\mathrm{.}1$ pounds of the material, and Bix uses $5\mathrm{.}7$ pounds of the material. Selling price per unit and variable costs per unit of each product follow.

Kin Ike Bix

Selling price per unit $ $163\mathrm{.}46$ $ $120\mathrm{.}21$ $ $204\mathrm{.}41$

Variable costs per unit $88\mathrm{.}0092\mathrm{.}00140\mathrm{.}00$

$($a$)$ Compute contribution margin per pound of material for each product.

$($b$)$ If demand is limited$,$ list the three products in the order in which management should produce and meet demand.