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.

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.

b) x ≤ 714r

c) 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?

$357,000,000

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

To calculate the total profit, we need to subtract the investment and cost from the total earnings.

Total Earnings = T = $357,000,000 (from part c)
Investment = $10,000
Cost per cake = $14

Total Cakes made = x = T/50

Total Cost = TC = x * Cost per cake = (T/50) * $14 = $14T/50

Total Profit (P) = Total Earnings - Total Cost - Investment
P = T - TC - Investment
P = $357,000,000 - ($14T/50) - $10,000

Now, let's substitute the value of T in terms of x from part c into the equation:

P = $357,000,000 - ($14(50x))/50 - $10,000
P = $357,000,000 - $14x - $10,000
P = $357,000,000 - $14x - $10,000
P = $356,990,000 - $14x

Therefore, the total profit without accounting for other costs would be $356,990,000 - $14x.