Darren Mack owns the "Gas n' Go" convenience store and gas station. After hearing a marketing lecture, he realizes that it might be possible to draw more customers to his high-margin convenience store by selling his gasoline at a lower price. However, the "Gas n' Go' is unable to qualify for volume discounts on its gasoline purchases, and therefore cannot sell gasoline for profit if the price is lowered. Each new pump will cost $110,000 to install, but will increase customer traffic in the store by 11,000 customers per year. Also, because the "Gas n' Go" would be selling its gasoline at no profit, Darren plans on increasing the profit margin on convenience store items incrementally over the next five years. Assume a discount rate of 7 percent. The projected convenience store sales per customer and the projected profit margin for the next five years are given in the table below. Year 1 2 3 4 5 Projected Convenience Store Sales Per Customer $4 $5.50 $8 $10 $12 Projected Profit Margin 20% 25% 30% 35% 40% a. What is the NPV of the next five years of cash flows if Darren had five new pumps installed? NPV=S (Enter your response rounded to two decimal places.)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 33P: Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand...
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Darren Mack owns the "Gas n' Go" convenience store and gas station. After hearing a marketing lecture, he realizes
that it might be possible to draw more customers to his high-margin convenience store by selling his gasoline at a
lower price. However, the "Gas n' Go' is unable to qualify for volume discounts on its gasoline purchases, and
therefore cannot sell gasoline for profit if the price is lowered.
Each new pump will cost $110,000 to install, but will increase customer traffic in the store by 11,000 customers per
year. Also, because the "Gas n' Go" would be selling its gasoline at no profit, Darren plans on increasing the profit
margin on convenience store items incrementally over the next five years. Assume a discount rate of 7 percent. The
projected convenience store sales per customer and the projected profit margin for the next five years are given in
the table below.
i
Year
1
2345
Projected Convenience Store
Sales Per Customer
$4
$5.50
$8
$10
$12
Projected Profit
Margin
20%
25%
30%
35%
40%
5
a. What is the NPV of the next five years of cash flows if Darren had five new pumps installed?
NPV=S (Enter your response rounded to two decimal places.)
Transcribed Image Text:Darren Mack owns the "Gas n' Go" convenience store and gas station. After hearing a marketing lecture, he realizes that it might be possible to draw more customers to his high-margin convenience store by selling his gasoline at a lower price. However, the "Gas n' Go' is unable to qualify for volume discounts on its gasoline purchases, and therefore cannot sell gasoline for profit if the price is lowered. Each new pump will cost $110,000 to install, but will increase customer traffic in the store by 11,000 customers per year. Also, because the "Gas n' Go" would be selling its gasoline at no profit, Darren plans on increasing the profit margin on convenience store items incrementally over the next five years. Assume a discount rate of 7 percent. The projected convenience store sales per customer and the projected profit margin for the next five years are given in the table below. i Year 1 2345 Projected Convenience Store Sales Per Customer $4 $5.50 $8 $10 $12 Projected Profit Margin 20% 25% 30% 35% 40% 5 a. What is the NPV of the next five years of cash flows if Darren had five new pumps installed? NPV=S (Enter your response rounded to two decimal places.)
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