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Hi Anonymous,
the link you posted seems not working, could you please post the full question? We can then provide an answer to it.
Best,
Francesco
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EDIT
The new link works, thanks.
The solution is quite bad explained indeed.
For the NPV in the first case, you get -50M as follows:
Data:
Investment: 300M
Quantity: 500k
Price: 1850
Cost: 1800
Discount rate: 10%
Thus profit margin is 50. Multiplied times 500k you get 25M. Using the perpetuity formula with 10% discount rate, you get 250M in the lifetime of operations (25M/10%).
Thus the net result is -300M+250M = -50M
For the minimum price, you get 2025 as follows.
Data:
Investment: 300M
Old quantity: 300k
Old price: 2300
Old cost: 2000
New quantity: 500k
New price: x
New cost: 1800
Discount rate: 10%
For some reasons not clearly explained, the case assumes that you will produce the 300k at the old cost, plus the additional 500k at the new cost. Thus: