Suppose you work for a multinational company in the country of Andoria, and there has been an announcement that the neighboring country of Bajor is interested in importing dilithium crystals and as such plan to sell it to the Bajorans when it is produced.

Your company has engaged the services of a corporation named Quark Enterprises, which specializes in training people to produce Dilithium Crystals. Quark enterprises has offered them the following packages as well as the corresponding impact on productivity for each package

Package 1: Skill level 1 training: each person hired can produce 3 dilithium crystals per hour

Package 2: Skill level 2 Training: each person hired can produce 5 dilithium crystals per hour

Package 3: Skill level 3 training: each person hired can produce 6 dilithium crystals per hour

Package 4: Skill level 4 Training: each person hired can produce 10 dilithium crystals per hour

Package 5: Skill level 5 training: each person hired can produce 15 dilithium crystals per hour

Your company has chosen to go with package 1 (as it was the cheapest and each subsequent package is more expensive than what came before. This means that package 5 is the most expensive).

After this deal has been signed, your company on Andoria finds out that another company on another neighboring country of Cardassia, has also started producing this good with the intent to sell it to the Bajorans and Bajor has made it clear that they would only be choosing one country with which to trade (the one that offers the cheapest price).

All countries produce a second good, gel packs that neither of them is interested in trading (Think of it that each country produces it just the way they like it and as such, need not buy it from anywhere else)

The following is public knowledge as well

1. On Andoria, each person hired can produce 30 gel packs per hour (for Andorian productivity of dilithium crystals, see package 1 training outcome)
2. On Bajor, each person hired can produce 10 gel packs per hour
3. On Bajor, each person hired can produce 1 dilithium crystal per hour
4. On Cardassia, each person hired can produce 40 gel packs per hour
5. On Cardassia, each person hired can produce 8 units of dilithium per hour

Given the Quark enterprises' packages, what package (if any) do you think the country that is not engaged in trade will buy, so as to leave Bajor no choice but to trade with them (i.e. lower price)? (keep in mind the need to keep costs as small as possible). And what would the new price be if the price of Gel packs is still $50

Package 3; $100

Package 2; $13.34

Package 1; $45

Package 3; $105

Package 5; $100

Package 4; $150