NEED HELP WITH PART C ONLY (ALREADY SOLVED PARTS A-B)

Your firm just received an order from a customer for $50,000 of widgets. You have been tasked with evaluating the effect of time value of money on your firms cash flows (on a transaction-by transaction basis). To fulfill this order your firm will need to produce and transport the widgets. This will take 50 days. Assume that the widgets will cost $30,000 in COGS; your firm is given 20 days to pay for the raw materials. Once the widgets are delivered to your customer, 40 days of trade credit will be provided to the customer. Assume a discount rate of 7%.

a. With the aforementioned assumptions, what is the NPV of this transaction?

19266.2582313 NPV

b. Recalculate the NPV, assuming that your firm reduced the time needed to produce and transport the widgets to 35 days.

19405.6484026 NPV

c. Next, treat the difference in NPV (NPV from part b minus NPV from part a) as a daily perpetuity and determine the total increase in firm value attributable to the improvement in inventory management.