Question

The revenue, in dollars. of a company that produces video game systems can be modeled by the expression 52 +

2t - 80. The cost in dollars, of producing the video game systems can be modeled by 5.22 -+ 100, where x is the
number of video game systems sold. If profit is the difference between the revenue and the cost, what expression
represents the profit?
Profit can be modeled by the polynomial expression
If 1,000 video game systems are sold, the company's profit is $

Answer 1

1). Profit = 3x - 180

2) Profit of selling 1000 video games = $2820

Explanation:

Expression for the revenue = 5x² + 2x - 80

Expression for the production cost of the video games = 5x² - x + 100

Since, profit is the difference between the revenue and the cost,

Expression for the profit will be,

Profit = Revenue - Cost

= (5x² + 2x - 80) - (5x² - x + 100)

= 5x² + 2x - 80 - 5x² + x - 100

= 3x - 180

Here, x = Number of video games sold

If number of video games sold = 1000

Profit = (3×1000) - 180

= 3000 - 180

= $2820