Question

Assume a machine during its initial testing phase produces 10 widgets a day. After 10 days of testing (starting on day 11), it begins to run at full speed, producing 40 widgets a day. After 50 days at full speed (days 11-60), it gradually starts becoming less productive, and produces 1 fewer widget per day, (ie. 39 widgets on day 61, etc.) until on day 100 it no longer produces any widgets.

Required:
Write a program that will read in a day number from the keyboard and will report the total number of widgets produced from the initial testing phase up to and including the day entered. For example, entering 3 would report 30 widgets.

Answer 1

The total widgets produced by the machine can be calculated by summing the output of three production phases: initial low production, full-speed production, and decreasing production until the machine stops. A programming solution using conditions and loops can provide the required cumulative production until any given day.

Step-by-step explanation:

We need to calculate the total number of widgets produced by the machine up until a given day. Let's break down the production into three phases:

• Phase 1: Days 1 to 10, the machine produces 10 widgets per day.
• Phase 2: Days 11 to 60, the machine produces 40 widgets per day.
• Phase 3: Days 61 to 100, the machine produces 1 fewer widget each day, starting from 39 on day 61.

Depending on the entered day, we calculate the cumulative production. Here's one way to implement this in a programming language like Python:
def calculate_widgets(day):
if day <= 10:
return day * 10
elif day <= 60:
return 10 * 10 + (day - 10) * 40
elif day <= 100:
full_speed_production = 10 * 10 + 50 * 40
decreasing_phase_production = sum(40 - (i - 60) for i in range(61, day + 1))
return full_speed_production + decreasing_phase_production
else:
return "Day is out of range, please enter a day between 1 and 100."

day = int(input("Enter the day number: "))
print(f"Total widgets produced up to day {day}: {calculate_widgets(day)}")

Answer 2

The question involves programming a calculator for the total number of widgets a machine produces based on the day number. The production rate changes over time, necessitating conditional logic to handle the calculation.

Step-by-step explanation:

The student's question concerns writing a program to calculate the total number of widgets produced by a machine based on the day number entered. The machine produces widgets at different rates during various phases over a 100-day period.

For the first 10 days, the machine produces 10 widgets per day. Starting from day 11 to day 60, it runs at full capacity, producing 40 widgets per day. From day 61 onwards, the production decreases by 1 widget per day, until it reaches zero production on day 100.

To support the calculation in a programming context, a conditional structure must be implemented to accommodate these different phases of production. The program would require input of the current day and should output the cumulative widgets produced up to that day.