Question

A company that produces video games has hired you to set the sale price for its newest game. based on the production costs and consumer demands , the company has concluded that the equation p(x) = -0.3x^2 + 45x - 1000 represents the profit p (in dollars) for x individual games sold. What will the company's profit be if 100 games are sold?

Answer 1

Answer: 500 dollars

You just plug in 100 to the x’s in the equation

Answer 2

The company's profit be if 100 games are sold is $41100

The profit function is given as:

$p(x) = -0.3x^2 + 45x - 1000$

When the number of games is 100, it means that

x = 100

So, we substitute 100 for x in the profit function

$p(x) = -0.3x^2 + 45x - 1000$ becomes

$p(100) = -0.3(100)^2 + 45(100) - 1000$

Evaluate the exponents

$p(100) = -0.3(10000) + 45(100) - 1000$

Open all brackets

$p(100) = -3000 + 45100 - 1000$

Evaluate like terms

$p(100) = 41100$

Hence, the company's profit be if 100 games are sold is $41100

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