Profit and Cost Functions Analysis

The video tutorial explains how to calculate cost, revenue, and profit functions for selling caramel apples. It covers the components of the cost function, including variable and fixed costs, and derives the revenue and profit functions. The tutorial also demonstrates how to find the break-even point, determining the minimum number of apples needed to achieve a positive profit.

What is the initial cost for each caramel apple?

• $180

• $1.78

• $3.13

• $11.35

What is the fixed weekly fee for the booth?

• $1.78

• $180

• $11.35

• $3.13

How is the cost function C(n) expressed?

• C(n) = 3.13n + 180

• C(n) = 11.35n + 180

• C(n) = 1.78n - 180

• C(n) = 180n + 11.35

What is the selling price of each caramel apple?

• $1.78

• $11.35

• $180

• $3.13

How is the revenue function R(n) expressed?

• R(n) = 3.13n

• R(n) = 1.78n

• R(n) = 11.35n

• R(n) = 180n

How is the profit function P(n) calculated?

• P(n) = R(n) + C(n)

• P(n) = C(n) - R(n)

• P(n) = C(n) + 180

• P(n) = R(n) - C(n)

What is the expression for the profit function P(n)?

• P(n) = 3.13n - 1.35n - 180

• P(n) = 3.13n + 180

• P(n) = 1.78n - 180

• P(n) = 11.35n + 180

What is the break-even point in terms of profit?

• When revenue is zero

• When cost is greater than revenue

• When revenue equals cost

• When profit is greater than zero

How many caramel apples must be sold to achieve a positive profit?

• 100

• 103

• 101

• 102

What happens if you sell 101 caramel apples?

• You make a profit

• You break even

• You double your profit

• You incur a loss