The carrying case would be sold to the end consumer for $$49\mathrm{.}99.$ Lisa will not sell directly to the consumer but will use a wholesaler who will sell to a retailer $($e$.$g$.,$ university bookstores$).$ The retailer$$s margin is $45\%,$ and the wholesaler$$s margin is $15\%.$ The fixed cost of manufacturing the cases is $$280,000$ and the variable costs are $$7\mathrm{.}25$ per case. Lisa is considering an advertising budget of $$300,000.$ Miscellaneous variable costs $($e$.$g$.,$ shipping and handling$)$ paid by Lisa$$s company come to $$0\mathrm{.}10$ per case. Lisa has decided to use salespeople to encourage adoption by wholesalers, and the salespeople will be paid entirely by a $10\%$ commission on the manufacturer$$s $($i$.$e$.,$ Lisa$$s$)$ selling price. The product manager$$s salary is $$75,000.$

$1.$ What is the price the manufacturer $($Lisa$$s company$)$ charges the wholesaler?

$2.$ What is the manufacturer$$s $($Lisa$$s$)$ unit margin $($contribution$/$profit per unit excluding fixed costs$)$ for the cases $($in $$)?$

$3.$ How many units must be sold to turn a profit?