Question

the price that a company charged for a computer accessory is given by the equation \\(100 - 10x^2\\) where \\(x\\) is the number of accessories that are produced, in millions. it costs the company \\(\\$10\\) to make each accessory. the company currently produces 2 million accessories and makes a profit of 100 million dollars. what other number of accessories produced yields the same profit?

1.45 million
3.45 million
40 million
48 million

Explanation:

Formulate the profit equation

Using the Profit Function Modeling knowledge point

$$
LATEXBLOCK0
$$

Set up the equation for the target profit

Using the Profit Function Modeling knowledge point

$$
LATEXBLOCK1
$$

Solve the cubic equation

Using the Cubic Equation Solving knowledge point

$$
LATEXBLOCK2
$$

Answer:

• (A) 1.45 million (Correct answer)
• (B) 3.45 million
• (C) 40 million
• (D) 48 million