Marginal Supply Function Analysis

The video tutorial explains the supply function for a music player, where the quantity supplied is determined by the price. It calculates the number of music players supplied at $225 and derives the marginal supply function using calculus. The tutorial evaluates the marginal supply at $225 and interprets the derivative as the rate of change of quantity supplied with respect to price changes.

What is the supply function formula for the music player?

• q = 65 * e^(x)

• q = 65 * e^(0.004x)

• q = 65 * e^(0.004)

• q = 65 * x^(0.004)

How many music players are supplied at a price of $225?

• 100,000

• 65,000

• 225,000

• 160,000

What mathematical rule is used to derive the marginal supply function?

• Chain Rule

• Product Rule

• Power Rule

• Quotient Rule

What is the derivative of the supply function with respect to x?

• e^(0.004x)

• 0.26 * e^(0.004x)

• 65 * e^(0.004x)

• 0.004 * e^(0.004x)

What is the marginal supply at a price of $225?

• 0.639 units

• 639 units

• 0.26 units

• 225 units

What does the marginal supply represent?

• The total supply at a given price

• The maximum supply possible

• The rate of change of supply with respect to price

• The price at which supply is zero

What does 0.639 represent in the context of marginal supply?

• 639 units per dollar increase in price

• 639 dollars per unit increase in supply

• 0.639 units per dollar increase in price

• 0.639 dollars per unit increase in supply

How is the change in quantity represented in the marginal supply function?

• In hundreds

• In units

• In thousands

• In tens

What is the best interpretation of the derivative in this context?

• The rate of change of the quantity supplied as the price increases

• The rate of change of the price as the quantity supplied increases

• The number of units demanded at a given price

• The quantity supplied if the price decreases

Which option correctly describes the marginal supply at $225?

• A decrease of 639 units per dollar increase in price

• An increase of 639 units per dollar increase in price

• An increase of 225 units per dollar increase in price

• A decrease of 225 units per dollar increase in price