A lumber mill bought a shipment of logs for $$48,000.$ When cut, the logs produced $1,000,000$ board feet of lumber in the following grades. Compute the cost to be allocated to Type $1$ and Type $2$ lumber, respectively, if the value basis is used. $($Do not round your intermediate calculations.$)$

Type $1-400,000$ board feet priced to sell at $$0\mathrm{.}12$ per board foot

Type $2-400,000$ board feet priced to sell at $$0\mathrm{.}06$ per board foot

Type $3-200,000$ board feet priced to sell at $$0\mathrm{.}04$ per board foot

Multiple Choice

$$16,000$;$$16,000.$

$$10,944$;$$4,800.$

$$48,000$;$$24,000$

$$28,800$;$$14,400.$

$$24,000$;$$8,000$