Question

A home-based sign company uses this function to model its monthly profit, where x is the price of each sign it sells. what is the company’s profit if it sells each sign for $20?

Answer 1

The profit made is $4,460.

What is a profit in business?

• In its simplest form, it's the amount left after subtracting your total expenses from your total revenue.
• The money remaining, your profits, can either be kept in the business and re-invested to finance future growth, or distributed as a draw or dividends to stakeholders.

The profit model, P(x) = -10x² + 498x - 1,500

Where, x = price per sign sold

If the price per sign sold is $20. Hence, x = $20

The profit made can be calculated thus :

Put x = 20 in the profit function :

P(20) = -10(20)² + 498(20) - 1,500

P(20) = - 10(400) + 9960 - 1500

P(20) = - 4000 + 9960 - 1500

P(20) = $4,460

The profit made is $4,460

Learn more about profit

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