Elliott Trophies makes three types of awards for organizations to give employees or team members. The following are its prices and costs:

$\backslash$table$[[,$Price per,Variable Cost per,Units Sold$],[,$Unit,Unit,per Year$],[$Sport$,$$$24,$$$16,36,000],[$Employee$,80,60,9,000],[$Celebrity$,656,516,3,000]]$

Fixed costs of $$436,500$ per year include building and equipment costs, marketing costs, and the costs of administration. Elliott Trophies is subject to a $21$ percent tax rate on income.

Required:

a$.$ Given this information, how much will Elliott Trophies earn each year after taxes?

b$.$ Assuming the given sales mix is the same at the break$-$even point, at what sales revenue does Elliott Trophies break even?

c$.$ Assuming the given sales mix, at what sales revenue will the company earn $$276,850$ per year after taxes?

d$.$ Elliott Trophies is concerned about the future of the Celebrity trophy market, given recent cost$-$cutting by companies and is considering becoming more specialized in the Sport and Employee market. If Elliott Trophies drops the Celebrity model, fixed costs will fall to $$406,500$ per year. If it follows through with this plan, Elliott Trophies expects that the relative sales mix between the Sport and Employee models will remain the same. That is$,$ for every $36,000$ units of the Sport model sold, Elliott Trophies would expect to sell $9,000$ units of the Employee model. How many units of the Sport and Employee models would Elliott Trophies have to sell to achieve the same after$-$tax income it currently earns with the three models?