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

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.

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

GPT-4o mini · Answer

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.

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.

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.