Asked by Shaunté Tillman on May 25, 2024
Verified
If the demand for the Weekly World News at a local grocery store is described by Q 2,500 400P I/10for I $15,000 and P $1.50, the marginal revenue of an additional paper sold at this store is
A) $.15.
B) $.38.
C) $.50.
D) $1.50.
E) $1.
Marginal Revenue
The additional income generated by selling one more unit of a good or service.
Weekly World News
A largely fictional news tabloid known for its offbeat and often bizarre stories, blurring the lines between fact and fiction in journalism.
Grocery Store
A retail store that sells food and other household goods.
- Comprehend the principle of marginal revenue and its connection to pricing.
Verified Answer
MH
Maryam HussainMay 26, 2024
Final Answer :
C
Explanation :
The demand function given is:
Q = 2500 - 400P + (I/10)
where Q is the quantity demanded of Weekly World News, P is the price per paper, and I is the income level of the consumers.
To find the marginal revenue of an additional paper sold at the store, we need to find the derivative of the demand function with respect to quantity, and then multiply it by the price.
Q = 2500 - 400P + (I/10)
dQ/dP = -400
MR = dQ/dP * P = -400 * P
At P = $1.50, MR = -400 * $1.50 = -$600
The negative sign indicates that the marginal revenue is decreasing as we sell more papers.
Therefore, the best choice is to sell fewer papers at a higher price, in order to maximize profit.
Q = 2500 - 400P + (I/10)
where Q is the quantity demanded of Weekly World News, P is the price per paper, and I is the income level of the consumers.
To find the marginal revenue of an additional paper sold at the store, we need to find the derivative of the demand function with respect to quantity, and then multiply it by the price.
Q = 2500 - 400P + (I/10)
dQ/dP = -400
MR = dQ/dP * P = -400 * P
At P = $1.50, MR = -400 * $1.50 = -$600
The negative sign indicates that the marginal revenue is decreasing as we sell more papers.
Therefore, the best choice is to sell fewer papers at a higher price, in order to maximize profit.
Learning Objectives
- Comprehend the principle of marginal revenue and its connection to pricing.