Radar Company sells bikes for $$550$ each. The company currently sells $4,500$ bikes per year and could make as many as $4,810$ bikes per year. The bikes cost $$235$ each to make: $$185$ in variable costs per bike and $$50$ of fixed costs per bike. Radar receives an offer from a potential customer who wants to buy $310$ 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?

$\backslash$table$[[($a$)$ Special offer analysis,Per Unit,Total$],[$Sales$,510,],[$Variable costs$],[$Contribution margin$],[$Fixed costs $($incremental$),90,],[$Income$,90,],[($b$)$ The company should,Accept special offer$]]$