MathDB

The currency exchange trades dinars (D), guilders (G), reals (R) and thalers (T). Exchange players have the right to make a purchase and sale transaction with each pair of currencies no more than once a day. The exchange rates are as follows:

D = 6G

D=25R

D=120T

G = 4R

;

G=21T

R = 5T

. For example, the entry

D = 6G

means that

1

dinar can be bought for

6

guilders (or

6

guilders can be sold for

1

dinar). In the morning the player had

32

dinars. What is the maximum number that he can receive by evening a) in dinars? b) in thalers ?

Problem Statement