Jack$$s Lumber produces lumber from pine forests. Processing one batch creates two joint products$$Grade A lumber and Grade B lumber$$at a cost of $$275,000.$ During production, $200,000$ board feet of Grade A lumber are produced and can be sold at a price of $$2\mathrm{.}00$ per board foot. In addition, one batch produces $300,000$ board feet of Grade B lumber, which can be sold at $$1\mathrm{.}25$ per board foot. Jack$$s Lumber accounts for joint costs using the sales value at split$-$off method. What is the total profit per batch for Grade A lumber? Note: Do not round intermediate calculations. Round final answer to today's