Radar Company sells bikes for $$510$ each. The company currently sells $4,150$ bikes per year and could make as many as $4,480$ bikes per year. The bikes cost $$275$ each to make: $$180$ in variable costs per bike and $$95$ of fixed costs per bike. Radar receives an offer from a potential customer who wants to buy $330$ bikes for $$470$ each. Incremental fixed costs to make this order are $$100$ 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$],[$Fixed costs $($incremental$),$$$,470,$$$,155,100],[$Variable costs,,$180,,],[$Contribution margin,$$,290,,],[$Fixed costs $($incremental$),,,,],[$Income$,,290,,]]$

$($b$)$ The company should