The cookie factory has a fixed cost of $300 per month plus $.45 for each cookie sold. Each cookie sells for $.95. How many cookies must be sold during one month for the profit to be at least $100?

Answer: the number of cookies sold must be greater than or equal to 800

Step-by-step explanation:

Let x represent the number of cookies made and sold in a month.

The cookie factory has a fixed cost of $300 per month plus $.45 for each cookie. This means that the total cost of producing x cookies in a month would be

300 + 0.45x

Each cookie sells for $.95. This means that the total revenue from selling x cookies would be

0.95x

Profit = Revenue - cost

Therefore, the number of cookies that must be sold during one month for the profit to be at least $100 would be

0.95x - (300 + 0.45x) ≥ 100

0.95x - 300 - 0.45x ≥ 100

0.95x - 0.45x ≥ 100 + 300

0.95x - 0.45x ≥ 100 + 300

0.5x ≥ 400

x ≥ 400/0.5

x ≥ 800