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 canno sell gasoline for profit if the price is lowered. Each new pump will cost $95,000 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 1 2345 Projected Convenience Store Sales Per Customer $5 $5.50 $7 $9 $11 Projected Profit Margin 15% 20% 25% 30% 35%

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Author:OpenStax
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Chapter10: Short-term Decision Making
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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 $95,000 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.
i
Year
1
23
$5
$5.50
$7
$9
$11
a. What is the NPV of the next five years of cash flows if Darren had four new pumps installed?
NPV = $(Enter your response rounded to two decimal places.)
4
Projected Convenience Store
Sales Per Customer
5
Projected Profit
Margin
15%
20%
25%
30%
35%
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 $95,000 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. i Year 1 23 $5 $5.50 $7 $9 $11 a. What is the NPV of the next five years of cash flows if Darren had four new pumps installed? NPV = $(Enter your response rounded to two decimal places.) 4 Projected Convenience Store Sales Per Customer 5 Projected Profit Margin 15% 20% 25% 30% 35%
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