Task 11. (16 points)

The Dorokhov family plans to purchase a vacation package to Crimea. The family plans to travel with the mother, father, and their eldest daughter Polina, who is 5 years old. They carefully studied all the offers and chose the "Bristol" hotel. The head of the family approached two travel agencies, "Globus" and "Around the World," to calculate the cost of the tour from July 10 to July 18, 2021.

The first agency offered the tour on the following terms: 11,200 rubles per person under 5 years old and 25,400 rubles per person over 5 years old. In addition, the "Globus" agency provides the Dorokhov family with a discount of 2% of the total cost of the tour as a loyal customer.

The terms of purchasing the tour from the "Around the World" agency are as follows: 11,400 rubles per person under 6 years old and 23,500 rubles per person over 6 years old. When purchasing a tour from the "Around the World" agency, a commission of 1% of the total cost of the tour is charged.

Determine which agency is more cost-effective to purchase the tour from. In your answer, indicate the minimum expenses of the Dorokhov family for the vacation in Crimea.

In your answer, provide only the number without units of measurement!
# Solution:

Cost of the tour with the company "Globus"

$(3 * 25400) *(1-0.02)=74676$ rubles.

Cost of the tour with the company "Around the World"

$(11400+2 * 23500) * 1.01=58984$ rubles.

Answer: 58984