Write Linear program and AMPL code for the problem.

An ancient Athenian merchant travels between Athens and Sparta. She will purchase goods in Athens, sell everything in Sparta and then purchase a new set of goods in Sparta and sell it in Athens. The going rate for the goods she is interested in is as follows (all prices in drachmas per pound of weight) Goods Athens Sparta wine 15 19 pottery 100 figs 12 6 linen 26 41 locks 30 5 spices 251 262 120 The mules that she uses for the trips can carry up to 300 pounds of goods. Further, suppose that she does not want any one good to be more than 40% of the load. (b) Now, suppose that she can purchase mules at 420 drachmas each. Each new mule adds 100 pounds capacity for goods. The total budget at her disposal is 2000 drachmas. Write an LP to determine what should be purchased in Athens for the trip to Sparta