Starowicz Corporation manufactures numerous products, one of which is called Beta$10.$ The company has provided the following data about this product:

Unit sales $($a$)120,000$

Selling price per unit $ $12\mathrm{.}00$

Variable cost per unit $8\mathrm{.}00$

Contribution margin per unit $($b$)$ $ $4\mathrm{.}00$

Total contribution margin $($a$)\backslash$times $($b$)$ $ $480,000$

Traceable fixed expense $420,000$

Net operating income $ $60,000$

Management is considering decreasing the price of Beta$10$ by $7\%,$ from $$12\mathrm{.}00$ to $$11\mathrm{.}16.$ The company$$s marketing managers estimate that this price reduction would increase unit sales by $15\%,$ from $120,000$ units to $138,000$ units. Assuming that the total traceable fixed expense does not change, what net operating income will product Beta$10$ earn at a price of $$11\mathrm{.}16$ if this sales forecast is correct?