Radar Company sells bikes for $$540$ each. The company currently sells $4,400$ bikes per year and could make as many as $4,740$ bikes per year. The bikes cost $$290$ each to make: $$190$ in variable costs per bike and $$100$ of fixed costs per bike. Radar receives an offer from a potential customer who wants to buy $340$ bikes for $$510$ each. Incremental fixed costs to make this order are $$90$ 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?

Answer is complete but not entirely correct.

$\backslash$table$[[($a$)$ Special offer analysis,Per Unit,Total$],[$Sales$,*,500ox,$$ $165,000ox$