Question

Поможііітььь!!! Задача: Якщо споживач за місяць спожив не більше як 100 кВт /год електроенергії , то за кожну кВт/год потрібно заплатити 0,9 грн, а за кожну кВт/год спожитої електроенергії, що понад 100кВт/год , потрібно заплатити 1,68 грн. Побудуйте математичну модель і створіть проект на визначення ,яку суму має сплатити споживач за спожиту електроенергію

Answer 1

Python:

electricity = float(input("Скільки спожив користувач (кВт/год): "))

if electricity <= 100:

   sum = electricity * 0.9

else:

   sum = 100 * 0.9 + (electricity - 100) * 1.68

print("Повинен заплатити:", sum , "грн")

Answer 2

Mathematical Model for Calculating Electricity Bill

To determine the amount a consumer has to pay for the electricity consumed, we can create a mathematical model based on the given information.

Let's denote: - E as the total electricity consumed in kilowatt-hours (kWh) in a month. - R as the rate per kilowatt-hour for the first 100 kWh, which is 0.9 UAH. - S as the rate per kilowatt-hour for the consumption exceeding 100 kWh, which is 1.68 UAH.

To calculate the electricity bill, we can use the following formula:

Bill = R * min(E, 100) + S * max(E - 100, 0)

Let's break down the formula:

- min(E, 100) represents the minimum value between the total electricity consumed (E) and 100 kWh. This ensures that we only consider the first 100 kWh at the rate R. - max(E - 100, 0) represents the maximum value between the difference of total electricity consumed (E) and 100 kWh, and 0. This ensures that we only consider the consumption exceeding 100 kWh at the rate S.

By plugging in the values into the formula, we can calculate the electricity bill for any given consumption.

Example Calculation

Let's say a consumer has consumed 120 kWh of electricity in a month. We can calculate the bill using the formula:

Bill = 0.9 * min(120, 100) + 1.68 * max(120 - 100, 0)

Simplifying the equation:

Bill = 0.9 * 100 + 1.68 * 20

Bill = 90 + 33.6

Bill = 123.6 UAH

Therefore, the consumer would need to pay 123.6 UAH for the electricity consumed.

Please note that this mathematical model assumes a linear pricing structure based on the given rates. It's important to verify with the relevant electricity provider or consult the official tariff structure for accurate billing information.

I hope this helps! Let me know if you have any further questions.