You want to start a bakery business to earn money. The total amount of money you will invest is $10,000. You will be selling cakes. It will cost you $14 to make each cake.

x≤714

You plan to sell each cake for $50. Write an equation that represents your total earnings, T, based on the price of your cake and how many you sell. Let x represent the number of cakes you sell.

T≤50x

Using your answer from part b and your equation from part c, what is the most money you can hope to earn from your business?

$35,700

Don’t forget that at the beginning of the process you had to spend some of your own money to get started. With the costs taken into account, what was your total profit?

1 answer

Total profit = Total earnings - Total investment

Total earnings = T = 50x
Total investment = $10,000
Profit = 50x - $10,000

Given that x ≤ 714, let's assume x = 714.

Profit = 50(714) - $10,000
Profit = $35,700 - $10,000
Profit = $25,700

Therefore, the total profit is $25,700.