Pharoah Beauty Corporation manufactures cosmetic products that are sold through a network of

sales agents. The agents are paid a commission of $22\%$ of sales. The income statement for the year

ending December $31,2025,$ is as follows.

PHAROAH BEAUTY CORPORATION

Income Statement

For the Year Ended December $31,2025$

Sales $$76,900,000$

Cost of goods sold

Variable $$30,760,000$

Fixed $8,580,00039,340,000$

Gross profit $$37,560,000$

Selling and marketing expenses

Commissions $$16,918,000$

Fixed costs $10,070,40026,988,400$

Operating income $$10,571,600$

The company is considering hiring its own sales staff to replace the network of agents. It will pay its salespeople a commission of $10\%$ and incur additional fixed costs of $$9,228,000.$

Calculate the estimated sales volume in sales dollars that would generate an identical net income for the year ending December $31,2025,$ regardless of whether Pharoah Beauty Corporation employs its own sales staff and pays them an $10\%$ commission or continues to use the independent network of agents. $($Hint: Set up an equation, with the net income formula employing independent agents as one side of the equation and the net income formula employing the company$$s own sales staff as the other side of the equation. Before solving, eliminate those aspects that are the same on each side of the equation as they do not vary under the two alternatives.$)$