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1) Gurgling Springs, Inc. is a bottler of natural spring water distributed throu

ID: 1134240 • Letter: 1

Question

1) Gurgling Springs, Inc. is a bottler of natural spring water distributed throughout the New England states. Five-gallon containers Operating experience during the past year suggests the following demand functionf of GSI spring water are regionally promoted and distributed through grocery chains. or 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 ($), Pop is population, I is disposable income per capita (S), and A is advertising expenditures ($) 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. Calculate the quantity demanded at prices of $5, $4, and $3. Calculate the prices necessary to sell 1,250, 1,500, and 1,750 thousands of five gallon B. C. containers

Explanation / Answer

A) Q= 250 - 100P + 0.0001Pop + 0.003i + 0.003A

Q= 250 - 100P + (0.0001*4,000,000) + (0.003*50,000) + (0.003*400000)

Q= 250 - 100P + 400 + 150 + 1200

Q= 2000 - 100P

And P= 20 - 0.01Q

B) Q ( WHEN P =5) = 2000- 100*5

Q= 1500

Q(When P= 4) = 2000 -100*4

Q= 1600

Q (when p=3) = 1700

C) P( when Q= 1250) = 20- 0.01*1250

P= 20-12.5 = 7.5

P(when Q= 1500) = 20- 15

P= 5

P(When q= 1750) = 20-17.5

P= 2.5