Serial Problem Business Solutions LO P$3$

Santana Rey has found that Business Solutions$$s line of computer desks and chairs has become very popular, and she is finding it hard to keep up with demand. She knows that she cannot fill all of her orders for both items, so she decides she must determine the optimal sales mix given the resources she has available. Information about the desks and chairs follows.

Desks Chairs

Selling price per unit $ $1,203\mathrm{.}50$ $ $363\mathrm{.}75$

Variable costs per unit $410\mathrm{.}00160\mathrm{.}00$

Contribution margin per unit $ $793\mathrm{.}50$ $ $203\mathrm{.}75$

Direct labor hours per unit $6$ hours $5$ hours

Expected demand for next quarter $167$ desks $46$ chairs

Santana has determined that she only has $1,167$ direct labor hours available for the next quarter and wants to optimize her contribution margin given the limited number of direct labor hours available.

Required:

Determine the optimal sales mix and the contribution margin the business will earn at that sales mix. $($Round per unit amounts to $2$ decimal places.$)$