Question
You run a coffee shop, where you currently sell 200 coffees per year at $4 each, and 100 pastries per year at $3 each. You
You run a coffee shop, where you currently sell 200 coffees per year at $4 each, and 100 pastries per year at $3 each. You also currently pay $200 per year to rent the building space, and you pay a barista $100 per year to serve the coffee and pastries.
You just paid a consultant $50 to assess ways in which you can increase revenue. Based on his advice, you are thinking of purchasing a sign spinner, currently priced at $125, to direct nearby foot traffic to your shop. You will also need to hire someone to operate the sign spinner, at an annual salary of $75 per year.
Based on market surveys, you expect that the sign spinner will enable you to sell 150 more coffees and 50 more pastries per year. The sign-spinning machine has a useful life of five years, and cannot be re-sold. Suppose you book the machine as an asset upon purchase, and declare an annual depreciation expense of $25 per year throughout its useful life. Your relevant marginal tax rate is 30%.
Assuming the relevant occ is 10%, what is the NPV of this investment (i.e., investing in the sign spinner)? There will be partial credit, where applicable. Round all interim work to at least 4 decimal places.
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