June Battle – Collecting Scarves (V)

TASK 

You are a big Football fan (as in European terms) and want to collect as many scarves of football teams as possible. In order to get those scarves, you either must travel to those cities and buy them (L1-L3) or manufacture them on your own (L4-L6). In Level 7, you can either manufacture or buy the scarves, and you have to decide what’s the cheapest way to obtain them.

Note that the levels are not in the order of difficulty. For example, If you get stuck on Level 3, you might want to move ahead to Level 4 (an easier level).

Scarf data

All 100 unique scarves are displayed in the Scarves worksheet. The data includes the city where you can get them, the city’s coordinates, and the 9 color elements that make up each scarf.

Traveling

If you want to buy a scarf, you first must travel to the given city. No map is provided in this case, but you have been given coordinates for each city on the X and Y axes in the Scarves worksheet.

You always start in Vienna (with coordinates X=48, Y=27), and each km of travel costs 1€.

The distance you travel in km is equal to: 100 * square root of (difference on the x-axis^2 + difference on the y-axis^2)

When traveling to purchase a scarf, keep in mind that each scarf costs 15€ at a store.

Manufacturing

If you want to manufacture a scarf, it always costs 200€ + the cost of materials. Each color element has a different price, which can be found in the Scarves worksheet.