The cost to produce the master disc of a DVD is $2000, while additional discs costs $4 each. Determine a profit function P that results if the DVDs are sold for $15. Find the profit from selling 2800 DVDs. Find p(x)

9000

Step-by-step explanation:

$13200 is the cost to produce all of the cds.

if they sell them all, for $15 each, we get $4200,

so, if we subtract the cost to produce them, versus what they made off them we get:  

$9000.

the profit is $9000

Step-by-step explanation:

p(x) = 15x-(2000+4x)

profit is going to be the difference between how much money you get from sales less the cost to make the items

the money you make in this case is $15 times the number of cds you sell, we will call the number of cds x

so 15x is the money from sales

the costs you have are 2000 to create the master and then $4 for every cd you create, so your costs will be 2000+4x

so profit is sales minus costs, therefore we get

p(x) = 15x - (2000+4x)

now to find specifically the profit when we create and sell 2800 cds, x = 2800, so we substitute that value in for x

p(2800) = 15(2800) - (2000+4(2800))

= 42000 - (2000+11200)

= 42000 - 13200

= 28800