1. The city of Ashkelon, on the eastern end of the Mediterranean Sea, is one of the major cities of the Philistines. A powerful merchant family (known henceforth as The Family) of this city has to decide how to allocate its vast but finite resources to further their own wealth and the glory and influence of their state. Some trade routes use camel caravans and go to the southern deserts, where they may trade in salt and gold with the great inland African nations; others may go north and west, oversea by galley, toward the Greeks; others may push their foul-mouthed, humped mounts east, overland toward Sumeria, to trade in spices and the crafted goods specific to that region. Some of the routes are over more arduous terrain than others, so make take longer to pay off (no revenue is realized by The Family until the caravan returns to Ashkelon). The financial costs and returns of each route are as follows (in Phils, the currency of the Philistines):

Route Costs,Period 0 Revenue, Period1 . Revenue, Period 2 . Revenue, Period 3

African Route -32,000 60,000

Greek Route . -120,000 195,000

Sumerian Route -190,000 300,000

Costs are incurred at the end of year zero, and revenues accrue at the end of Periods 1, 2, and 3, for each respective route (for instance, the African caravan returns at the end of period two, at which time its revenue is realized).The discount rate for the shipping company is 10%.

a.Calculate the NPV, B/C ratio, Payback period, and IRR for each route option(4 points)

b.Rank the route options according to NPV, B/C ratio, Payback period, and IRR (2 points)

c.If the company had unlimited funds, which trade routes would you recommend the family pursue?Why?Be sure to consider all combinations of routes, including multiple caravans on the same trade route (2 points)

d.Given that the family can only invest 200,000 Phils, which combination of trade routes would you recommend pursuing?Why? (2 points)