Quantity Demanded. Gurgling Springs, Inc. is a bottler of natural spring water distributed throughout the New England states. Five-gallon containers of GSI spring water are regionally promoted and distributed through grocery chains. Operating experience during the past year suggests the following demand function for its spring water:

where Q is quantity in thousands of five-gallon containers, P is price ($), Pop is population, I is disposable income per capita ($), and A is advertising expenditures ($).
A. Determine the demand curve faced by CPI in a typical market where P = $4, Pop = 4,000,000 persons, I = $50,000 and A = $400,000. Show the demand curve with quantity expressed as a function of price, and price expressed as a function of quantity.
B. Calculate the quantity demanded at prices of $5, $4, and $3.
C. Calculate the prices necessary to sell 1,250, 1,500, and 1,750 thousands of five-gallon containers.

Question

Quantity Demanded. Gurgling Springs, Inc. is a bottler of natural spring water distributed throughout the New England states. Five-gallon containers of GSI spring water are regionally promoted and distributed through grocery chains. Operating experience during the past year suggests the following demand function for its spring water:
  
where Q is quantity in thousands of five-gallon containers, P is price ($), Pop is population, I is disposable income per capita ($), and A is advertising expenditures ($).
A. Determine the demand curve faced by CPI in a typical market where P = $4, Pop = 4,000,000 persons, I = $50,000 and A = $400,000. Show the demand curve with quantity expressed as a function of price, and price expressed as a function of quantity.
B. Calculate the quantity demanded at prices of $5, $4, and $3.
C. Calculate the prices necessary to sell 1,250, 1,500, and 1,750 thousands of five-gallon containers.

Quizplus · Accepted Answer

The Answer of Quantity Demanded. Gurgling Springs, Inc. is a bottler of natural spring water distributed throughout the New England states. Five-gallon containers of GSI spring water are regionally promoted and distributed through grocery chains. Operating experience during the past year suggests the following demand function for its spring water:
  
where Q is quantity in thousands of five-gallon containers, P is price ($), Pop is population, I is disposable income per capita ($), and A is advertising expenditures ($).
A. Determine the demand curve faced by CPI in a typical market where P = $4, Pop = 4,000,000 persons, I = $50,000 and A = $400,000. Show the demand curve with quantity expressed as a function of price, and price expressed as a function of quantity.
B. Calculate the quantity demanded at prices of $5, $4, and $3.
C. Calculate the prices necessary to sell 1,250, 1,500, and 1,750 thousands of five-gallon containers.