Chip Company produces three products, Kin, Ike, and Bix. Each product uses the same direct material. Kin uses $4$ pounds of the material, Ike uses $3\mathrm{.}6$ pounds of the material, and Bix uses $6\mathrm{.}5$ pounds of the material. Selling price per unit and variable costs per unit of each product follow.

Kin Ike Bix

Selling price per unit $ $158\mathrm{.}60$ $ $125\mathrm{.}56$ $ $225\mathrm{.}45$

Variable costs per unit $97\mathrm{.}0091\mathrm{.}00152\mathrm{.}00$

$($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.