Question

The revenue in dollars of a company that produces video game systems can be modeled by the expression 5X squared 2+ 2X -80 the cost in dollars of producing video game system can be modeled by 5X squared two minus X +100 where X is the number of video game sold if profit is the difference between revenue and cost what expression represents the prophet

Answer 1

required expression for profit = 3x - 180

the profit by selling 1000 units will be $ 2820

Explanation:

Given,

Revenue = 5x² + 2x -80

cost = 5x² - x + 100

Hence profit = Revenue - cost

=> profit = 5x² + 2x -80 - (5x² - x + 100)

=> profit = 5x² + 2x -80 - 5x² + x - 100

=> profit = 3x - 180

which is the required expression for profit.

number of video games sold = 1000

=> x = 1000

hence,

profit = 3x - 180

= 3000 - 180

= $ 2820

hence the profit by selling 1000 units will be $ 2820