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 ​$130,000 to​ install, but will increase customer traffic in the store by 13,000 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 8 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 Projected Convenience Store Sales Per Customer Projected Profit Margin 1 ​$5 20​% 2 ​$6.50 25​% 3 ​$9 30​% 4 ​$10 35​% 5 ​$12 40​% What is the NPV of the next five years of cash flows if Darren had four new pumps​ installed?   NPV=​$nothing. ​(Enter

Cornerstones of Cost Management (Cornerstones Series)
4th Edition
ISBN:9781305970663
Author:Don R. Hansen, Maryanne M. Mowen
Publisher:Don R. Hansen, Maryanne M. Mowen
Chapter7: Allocating Costs Of Support Departments And Joint Products
Section: Chapter Questions
Problem 17E
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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
​$130,000
to​ install, but will increase customer traffic in the store by
13,000
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
8
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
Projected Convenience Store Sales Per Customer
Projected Profit
Margin
1
​$5
20​%
2
​$6.50
25​%
3
​$9
30​%
4
​$10
35​%
5
​$12
40​%
What is the NPV of the next five years of cash flows if Darren had
four
new pumps​ installed?
 
NPV=​$nothing.
​(Enter
your response rounded to two decimal
places.​)
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