Mesa Media is evaluating a project to help increase sales. The project costs $$450,000$ and has an IRR equal to $12$ percent. The project is divisible, which

means any portion can be purchased. Mesa can raise up to $$46,000$ in new debt at a before$-$tax cost $(\{$:$r_d)$ equal to $7$ percent; additional debt will cost $9$

percent before taxes. Mesa expects to retain $$288,000$ of its earnings this year to support the purchase of the project. Mesa's cost of retained earnings is

$12$ percent, and its cost of new common equity is $15$ percent. Its target capital structure consists of $20$ percent debt and $80$ percent common equity. If

Mesa's marginal tax rate is $40$ percent, how much of the project should be purchased? Round your answer to the nearest dollar.

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