Problem:
Gurgling Springs, Inc., is a bottler of natural spring, Inc. is a bottler of natural springs 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.
Q = 250 - 100P + 0.0001Pop + 0.0031 + 0.003A
Where Q is quantity in thousands of five-gallon containers, P is price ($), Popis population, I is disposable income per capita ($), and A is advertising expenditures ($).
Question 1: 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 function of quantity.
Question 2: Calculate the quantity demanded at prices of $5, $4 and $3.
Question 3: Calculate the prices necessary to sell 1,250, 1,500 and 1,750 thousands of five gallon containers.