Question 2 1 pts If the demand for a certain product is given by p = 300 - 20g, where q Is the quantity demanded by the market when the price per unit of the Product is for p dollars. Calculate the marginal income, when 12 units are sold
Question
Answer:
To calculate the marginal income when 12 units are sold, we need to find the derivative of the demand function with respect to quantity (g) and then evaluate it at g = 12.
The demand function is given by:
p = 300 - 20g
To find the marginal income, we differentiate the demand function with respect to quantity (g):
dp/dg = -20
The derivative of the demand function with respect to quantity is -20. This represents the rate of change of price with respect to quantity.
To calculate the marginal income when 12 units are sold, we substitute g = 12 into the derivative:
dp/dg |g=12 = -20
Therefore, the marginal income when 12 units are sold is -20.This means that for each additional unit sold beyond the 12th unit, the income decreases by $20.
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