Joint products A and B emerge from common processing costs of $$100,000$ and yield $2,000$ units of Product A and $1,000$ units of Product B$.$ Product A can be sold for $$100$ per unit. Product B can be sold for $$120$ per unit. The amount of joint costs allocated to Product A if joint costs are allocated on the basis of relative sales value will be $

$($rounded to nearest dollar$).$