Radar Company sells bikes for $$550$ each. The company currently sells $4,150$ bikes per year and could make as many as $4,500$ bikes

per year. The bikes cost $$290$ each to make: $$200$ in variable costs per bike and $$90$ of fixed costs per bike. Radar receives an offer

from a potential customer who wants to buy $350$ bikes for $$530$ each. Incremental fixed costs to make this order are $$80$ 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?