Question

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?

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the most money you can hope to earn from your business, we need to maximize the equation T = 50x, under the constraint x ≤ 714r.

Since T = 50x, the maximum value of T can be obtained by maximizing x.

From the constraint x ≤ 714r, we know that the maximum value of x will occur when r is at its minimum value. Therefore, we need to find the minimum possible value for r.

As we don't have any additional information given about r, we cannot determine its minimum value. Therefore, we cannot determine the exact maximum value for T (the most money you can hope to earn from your business) without knowing the minimum possible value for r.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To find the most money you can hope to earn from your business, we need to combine the information from parts b and c.

In part b, we have the inequality x ≤ 714r, where x represents the number of products sold and r represents the price per product. This inequality indicates that the number of products sold must be less than or equal to 714 times the price per product.

In part c, we have the equation T = 50x, where T represents the total earnings and x represents the number of products sold. This equation states that the total earnings is equal to 50 times the number of products sold.

To maximize your earnings, you need to determine the maximum value of T. We can do this by substituting the inequality from part b into the equation from part c.

T = 50x = 50 * (714r) = 35700r

Therefore, the most money you can hope to earn from your business is 35700r.

Answer 3

[AI-generated answer — Explain Bot]

To find the most money you can hope to earn from your business, you need to integrate the equations from parts b and c and solve for the variable x.

From equation (b): x ≤ 714r

From equation (c): T = 50x

Let's substitute the value of x from equation (c) into equation (b):

714r ≥ 50x

Divide both sides of the inequality by 50:

14.28r ≥ x

Now, substitute this value of x back into equation (c):

T = 50(14.28r)

T = 714r

Therefore, the maximum amount of money you can hope to earn from your business is 714r.