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Industry 4.0 · End Term · Jan 2026 · AN

Industry 4.0 · End Term · Jan 2026 AN

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Questions and published explanations below are available without starting a test. Some questions may not have a published solution yet.

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Question 2 NAT · 2.0 marks

The owner of a newsstand wants to determine the number of newspapers of USA Now to be stocked at the start of each day. The owner pays 30 cents for a copy and sells it for 75 cents. The sale of the newspaper typically occurs between 7:00 and 8:00 am. Newspaper left at the end of the day are recycled for an income of 5 cents a copy. How many copies should the owner stock every morning, assuming that the demand for the day can be described as: Based on the above data, answer the given subquestions.
How many copies should the owner stock each morning, assuming that the daily demand follows a normal distribution with a mean of 300 copies and a standard deviation of 20 copies? [Standard_Norm_inv(critical fractile)=0.643]

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Question 3 NAT · 2.0 marks

The owner of a newsstand wants to determine the number of newspapers of USA Now to be stocked at the start of each day. The owner pays 30 cents for a copy and sells it for 75 cents. The sale of the newspaper typically occurs between 7:00 and 8:00 am. Newspaper left at the end of the day are recycled for an income of 5 cents a copy. How many copies should the owner stock every morning, assuming that the demand for the day can be described as: Based on the above data, answer the given subquestions.
How many copies should the owner stock each morning, assuming that the daily demand follows a discrete probability distribution, f(D), defined as follows?
Source diagram or notation

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Question 4 NAT · 2.0 marks

Suppose you need to accept reservations for a flight with a total of 100 seats available. There are two classes of passengers: economy and business. An economy seat generates ₹2,500 in revenue, while a business seat generates ₹7,500. Based on past experience, the demand for business travellers follows a uniform distribution between 10 and 40. Answer the given subquestions.
What is the Booking limit?

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Question 5 NAT · 2.0 marks

Suppose you need to accept reservations for a flight with a total of 100 seats available. There are two classes of passengers: economy and business. An economy seat generates ₹2,500 in revenue, while a business seat generates ₹7,500. Based on past experience, the demand for business travellers follows a uniform distribution between 10 and 40. Answer the given subquestions.
What is the protection level?

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Question 6 NAT · 2.0 marks

A store sells a seasonal product with demand following a normal distribution, having a mean of 500 units and a standard deviation of 75 units. Each unit is purchased for ₹200 and sold for ₹350. Any leftover stock is cleared at a discounted price of ₹100 per unit. Based on the above data, answer the given subquestions.
Determine the optimal order quantity. ( Z -value = 0.25)

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Question 7 NAT · 2.0 marks

A store sells a seasonal product with demand following a normal distribution, having a mean of 500 units and a standard deviation of 75 units. Each unit is purchased for ₹200 and sold for ₹350. Any leftover stock is cleared at a discounted price of ₹100 per unit. Based on the above data, answer the given subquestions.
If the store orders 520 units, what is the probability of a stockout? (probability corresponding to the Z -value = 0.06064) (enter your answer without the percentage symbol and rounded off to two decimals. E.g. if your answer is 39.223%, enter your answer as 39.22)

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Question 8 MCQ · 2.0 marks

The Egg Dropping Problem is a Dynamic Programming (DP) problem that helps determine the minimum number of attempts needed to find the highest floor from which an egg can be dropped without breaking. Based on the above data, answer the given subquestions.
What is the state variable here?
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Number of eggs on hand
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Number of floors
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Number of eggs that got broken

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Question 9 MCQ · 1.0 marks

The Egg Dropping Problem is a Dynamic Programming (DP) problem that helps determine the minimum number of attempts needed to find the highest floor from which an egg can be dropped without breaking. Based on the above data, answer the given subquestions.
How a stage is defines
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Number of eggs on hand
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Number of floors
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Number of eggs that got broken

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Question 10 NAT · 2.0 marks

Rahul owns a tea distribution business in Assam. He sources premium tea leaves from local tea gardens and supplies them to various retailers. To manage his inventory efficiently, he wants to determine the optimal order quantity for his stock. i) The annual demand for tea leaves is 24,000 kg. ii) The cost of placing an order (ordering cost) is ₹500 per order. iii) The carrying cost per kg of tea per year is ₹2. Rahul wants to minimize his total inventory cost by ordering the optimal quantity each time. Answer the given three subquestions
Calculate the Economic Order Quantity (EOQ) for Rahul's business.

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Question 11 NAT · 2.0 marks

Rahul owns a tea distribution business in Assam. He sources premium tea leaves from local tea gardens and supplies them to various retailers. To manage his inventory efficiently, he wants to determine the optimal order quantity for his stock. i) The annual demand for tea leaves is 24,000 kg. ii) The cost of placing an order (ordering cost) is ₹500 per order. iii) The carrying cost per kg of tea per year is ₹2. Rahul wants to minimize his total inventory cost by ordering the optimal quantity each time. Answer the given three subquestions
How many orders should Rahul place per year?

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Question 12 NAT · 2.0 marks

Rahul owns a tea distribution business in Assam. He sources premium tea leaves from local tea gardens and supplies them to various retailers. To manage his inventory efficiently, he wants to determine the optimal order quantity for his stock. i) The annual demand for tea leaves is 24,000 kg. ii) The cost of placing an order (ordering cost) is ₹500 per order. iii) The carrying cost per kg of tea per year is ₹2. Rahul wants to minimize his total inventory cost by ordering the optimal quantity each time. Answer the given three subquestions
What is the total cost associated with holding inventory at EOQ?

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Question 13 NAT · 1.0 marks

Find the Euclidean distance between the points A(3, 4) and B(7, 1) in a 2D plane.

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Question 14 NAT · 3.0 marks

Rana Bakery, a company, uses a layout consisting of 9 workstations. Each day, 200 sandwiches are produced using this layout. A typical workday consists of a single 10-hour shift. The sandwich- making process comprises 9 activities, as detailed in the table below.
Source diagram or notation
What is the current efficiency of the line where each activity is performed at a separate workstation? (Enter only the numerical value up to two decimal places without the '%' symbol. For example, if the answer is 99.756%, enter only '99.76').

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Question 15 MSQ · 2.0 marks

Which of the following supply chain costs is/are affected by the distribution network structure?
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Inventory
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Transportation
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Facilities and handling
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Information
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Price

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Question 16 MSQ · 2.0 marks

Select the correct statements from the list below:
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Optimal solution in a facility location problem using Euclidean method will result in a region
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Optimal solution in a facility location problem using Euclidean method rarely matches the center of gravity
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Optimal solution in a facility location problem using Euclidean method will result in a point
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Optimal solution in a facility location problem using Euclidean method matches the centre of gravity in not of the cases

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Question 17 MSQ · 2.0 marks

What are the two primary tasks of time series forecasting?
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Identifying pattern
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Identify variables of interest
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Discovering relationships amongst variables of interest

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Question 18 MSQ · 2.0 marks

Identify the examples for Outsourcing from the list below:
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Micron Technology, a US based semiconductor giant, setting up a Supply Chain Analytics team, in India.
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Mastercard has set up a Data Science team in Gurgaon to develop algorithms for the company.
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IIT Madras' BS degree program has assigned TCS to develop and manage the exam portal and its evaluation.
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Foxconn assembles iPhones for Apple

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Question 19 MCQ · 1.0 marks

What does the decision variable
Source diagram or notation
denote in a Vehicle Routing Problem (VRP)?
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If the vehicle travels to node j from node i (binary)
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Number of vehicles travelled between node i and node j (integer)
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Weight on the arc (i,j) e.g. the distance (integer)

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Question 20 MCQ · 1.0 marks

Which of the following is not an example of digitization?
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Creating the e-copy of a book using Google-Lens
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Generating an automated daily sales report across the retail outlets in a state.
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Converting a physical 2D sheet to CAD drawing
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Converting physical invoice to e-copy

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Question 21 MCQ · 1.0 marks

Match Column A with Column B for landmark outcomes of the industrial era.
Source diagram or notation
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1.0:CNC, 2.0:Mass production, 3.0:Digitization, 4.0:Steam Engine
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1.0:Steam Engine, 2.0:Mass production, 3.0:Digitization, 4.0:CNC
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1.0:Mass production, 2.0:Steam Engine, 3.0:Digitization, 4.0:CNC
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1.0:Steam Engine, 2.0:Mass production, 3.0:CNC, 4.0:Digitization

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Question 22 MCQ · 1.0 marks

Which of the following is an advantage of a Process Layout?
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Low material handling
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Total production time per unit is small
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Low training cost for the operators
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It can accommodate high variety of products

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Question 23 MCQ · 1.0 marks

Which of the following functions does Logistics Management not cover?
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Supply Management
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Materials Management
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Customer Management
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Distribution Management

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Question 24 MCQ · 1.0 marks

Which of the following is not a form of internet?
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Industrial
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Commercial
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Philanthropic
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Consumer

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Question 25 MCQ · 2.0 marks

What is the name of the forecasting method represented by the following set of equations? The notations have their usual meanings.
Source diagram or notation
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Exponential smoothing
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Winter’s model for seasonality
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Holt’s method for trend
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None of these

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Question 26 MCQ · 2.0 marks

You visit the car service center to get your car washed. In the service center, washing done using automated systems, e.g. the car is put on a moving belt, water is sprayed, drying is also done. Which of the following terms represents this scenario?
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Digitization
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Automation
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Digital transformation

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Question 27 MCQ · 2.0 marks

Which of the following is not an example of digitization ?
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Scanning a document to get the PDF document
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Converting a physical 2D sheet to CAD drawing
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Converting physical invoice to e-copy
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Creating an automated report from the existing cost data

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Report a correction for Q27