Exploring Functions in Word Problems

What is the primary goal of the problem discussed in the video?

• To find the cost of production

• To calculate the revenue

• To maximize the profit

• To determine the number of units sold

What is the revenue function R(x) given in the video?

• 48x + 2x^2

• 36x - 64

• 12x + 64

• 48x - 2x^2

How is the profit function P(x) derived?

• By dividing the revenue function by the cost function

• By multiplying the cost function with the revenue function

• By subtracting the cost function from the revenue function

• By adding the cost function to the revenue function

What is the profit function P(x) derived in the video?

• 36x - 2x^2

• 12x + 64

• 48x - 2x^2

• -2x^2 + 36x - 64

What tool is suggested to use for graphing the profit function?

• Desmos

• Graphing calculator

• Excel

• Matlab

At what point does Carolina achieve maximum profit?

• At 9 units sold, $98 profit

• At 7 units sold, $85 profit

• At 8 units sold, $90 profit

• At 10 units sold, $100 profit

What is the y-intercept of Carolina's profit function?

• -36

• 64

• -64

• 0

What is the y-intercept of Kayo's profit function?

• 0

• -36

• -64

• 64

What happens to the profit functions as the number of units produced increases indefinitely?

• They go to zero

• They remain constant

• They go to positive infinity

• They go to negative infinity

What does it mean when the profit function goes to negative infinity?

• The profit decreases indefinitely

• The profit increases indefinitely

• The profit remains constant

• The profit becomes zero