Question

P=46.15v-24v-120 where v is the number of cases sold

What is the minimum number of vases she will have to sell to make a profit of at least $500 the first month

Answer 1

To determine the minimum number of vases she will have to sell to make a profit of at least $500, set up the inequality and solve for v. The minimum number of vases she will have to sell is 28.

Step-by-step explanation:

To determine the minimum number of vases she will have to sell to make a profit of at least $500, we need to set up an equation. The equation is:

P = 46.15v - 24v - 120

Where P is the profit and v is the number of vases sold. We want to find the value of v that makes P at least $500. So, we can set up the inequality:

46.15v - 24v - 120 ≥ 500

Combining like terms:

22.15v - 120 ≥ 500

Adding 120 to both sides:

22.15v ≥ 620

Dividing both sides by 22.15:

v ≥ 27.96

Since v represents the number of vases sold, it must be a whole number. Therefore, the minimum number of vases she will have to sell to make a profit of at least $500 is 28 vases.