Duo Company manufactures two products, Uno and Dos. Contribution margin data follow.

Uno Dos

Unit sales $ $14\mathrm{.}00$ $ $38\mathrm{.}00$

Less variable cost:

Direct material $ $5\mathrm{.}00$ $ $5\mathrm{.}00$

Direct labor $1\mathrm{.}005\mathrm{.}00$

Variable overhead $1\mathrm{.}107\mathrm{.}50$

Variable selling and administrative cost $\mathrm{.}90\mathrm{.}50$

Total variable cost $ $8\mathrm{.}00$ $ $18\mathrm{.}00$

Unit contribution margin $ $6\mathrm{.}00$ $ $20\mathrm{.}00$

Duo company$$s production process uses highly skilled labor, which is in short supply. The same employees work on both products and earn the same wage rate.

Required:

$1.$ Calculate the contribution margin per scarce resource for each of the products assuming an arbitrary time period for which direct laborers earn $$1\mathrm{.}00$ per unit.

$2.$ Which of Duo Company$$s products is most profitable?