Radar Company sells bikes for $$300$ each. The company currently sells $3,750$ bikes per year and could make as many as $5,000$ bikes per year. The bikes cost $$225$ each to make: $$150$ in variable costs per bike and $$75$ of fixed costs per bike. Radar receives an offer from a potential customer who wants to buy $750$ bikes for $$250$ each. Incremental fixed costs to make this order are $$60$ per bike. No other costs will change if this order is accepted.

$($a$)$ Compute the income for the special offer.

$($b$)$ Should Radar accept this offer?

$\backslash$table$[[($a$)$ Special offer analysis,Per Unit,Total$],[,,],[,,],[$Contribution margin,,$],[,,],[$Income$,,],[,,],[($b$)$ The company should,,$]]$