while staying in lisbon, portugal, you decide...

while staying in lisbon, portugal, you decide to visit the cities of coimbra and viseu. you will begin and end your trip in lisbon. the following table shows the costs associated with traveling to and from each of these three cities. all costs are given in euros (€).\n| origin and destination | cost (€) |\n|--|--|--|\n| lisbon to coimbra | 70 |\n| lisbon to viseu | 53 |\n| coimbra to lisbon | 37 |\n| coimbra to viseu | 72 |\n| viseu to lisbon | 52 |\n| viseu to coimbra | 47 |\nusing this table, determine whether it is more cost - effective to go to coimbra first or to go to viseu first, and how much cheaper doing so is than the alternative.\n a. going to viseu first is €57 cheaper than going to coimbra first.\n b. going to viseu first is €17 cheaper than going to coimbra first.\n c. going to coimbra first is €57 cheaper than going to viseu first.\n d. going to coimbra first is €17 cheaper than going to viseu first.

Answer

# Explanation: ## Step1: Calculate cost of going to Coimbra first The cost of going from Lisbon to Coimbra is 70 euros, then from Coimbra to Viseu is 72 euros, and then from Viseu to Lisbon is 52 euros. The total cost $C_{1}=70 + 72+52=194$ euros. ## Step2: Calculate cost of going to Viseu first The cost of going from Lisbon to Viseu is 53 euros, then from Viseu to Coimbra is 47 euros, and then from Coimbra to Lisbon is 37 euros. The total cost $C_{2}=53 + 47+37 = 137$ euros. ## Step3: Find the cost - difference The difference in cost $\Delta C=C_{1}-C_{2}=194 - 137 = 57$ euros. Since $C_{2}<C_{1}$, going to Viseu first is cheaper. # Answer: A. Going to Viseu first is €57 cheaper than going to Coimbra first.