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?

1 answer

To determine the most money you can hope to earn from your business, you need to find the maximum value of the equation T = 50x.

From part b, we have the inequality x ≤ 714r, which means the quantity of cakes you can make (x) is less than or equal to 714 times the available investment amount (r).

Since you have a total investment of $10,000, we can substitute r = 10,000 in the inequality:

x ≤ 714(10,000)
x ≤ 7,140,000

So, the maximum number of cakes you can make is 7,140,000.

Now, substituting this value in the equation T = 50x:

T = 50(7,140,000)
T = 357,000,000

Therefore, the most money you can hope to earn from your business is $357,000,000.