The profit from the production and sale of specialty golf hats is given by the function ​P(x)equals20xminus6000 where x is the number of hats produced and sold.

Question

Producing and selling
  
enter your response here hats will give a profit of ​$8000.

Answer 1

To find the number of hats \( x \) that need to be produced and sold to achieve a profit of $8000, we can set up the equation based on the profit function given:

\[ P(x) = 20x - 6000 \]

We want to find \( x \) such that \( P(x) = 8000 \):

\[ 8000 = 20x - 6000 \]

Now, let's solve for \( x \):

1. Add 6000 to both sides:

\[ 8000 + 6000 = 20x \] \[ 14000 = 20x \]

2. Divide both sides by 20:

\[ x = \frac{14000}{20} \] \[ x = 700 \]

Therefore, producing and selling 700 hats will give a profit of $8000.