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1. You (many years ago) are deciding whether to upgrade your company's equipment from typewriters to...

1. You (many years ago) are deciding whether to upgrade your company's equipment from typewriters to computer technology at a cost of $2,500 per machine, and machines will be replaced one-to-one. The typewriter technology was able to output $8,000 per unit per year, and you expect the computers to be able to output $9829 per unit per year (forever), but render the typewriters completely worthless. What would the NPV be of making this upgrade, per upgraded unit? Assume a 12.6% interest rate.

2. Your production of widgets is governed by an average production cost equation, avg. cost = $1 + $5,000/(x+1000) where x is the number of goods produced. If you are currently selling 5,000 units at a price $3.08 per widget, what is the marginal cost of selling an additional unit?

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Answer #1

1.

=-2500+(9829-8000)/12.6%=12015.87

2.

Total cost=x+5000*x/(x+1000)

Marginal cost=1+5000*(0+1000*(x+1000)^(-2))=1+5000*1000/(x+1000)^2=5.97

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