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ms4001_2026T1_ET_FN.pdf

Industry 4.0 · End Term · Jan 2026 FN

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

Question 2 MCQ · 1.0 marks

Suppose you want to invest $4000 now and $2000 at the start of years 2 to 4. The interest rate offered by First Bank is 8% compounded annually, and the bonuses over the next 4 years are 1.8%, 1.7%, 2.1% and 2.5%, respectively. The annual interest rate offered by Second Bank is 0.2% lower than that of First Bank, but its bonus is 0.5% higher. The objective is to maximize the accumulated capital at the end of 4 years. If you apply Dynamic Programming to this problem, answer the given subquestions:
How is a stage represented by?
  1. Year
  2. Capital available for investment at the start of a year
  3. Amounts invested in First Bank
  4. Amounts invested in First Bank and Second Bank

A published solution is not available for this question yet.

Question 3 MCQ · 1.0 marks

Suppose you want to invest $4000 now and $2000 at the start of years 2 to 4. The interest rate offered by First Bank is 8% compounded annually, and the bonuses over the next 4 years are 1.8%, 1.7%, 2.1% and 2.5%, respectively. The annual interest rate offered by Second Bank is 0.2% lower than that of First Bank, but its bonus is 0.5% higher. The objective is to maximize the accumulated capital at the end of 4 years. If you apply Dynamic Programming to this problem, answer the given subquestions:
What are the alternatives in a stage?
  1. Year
  2. Capital available for investment at the start of a year
  3. Amounts invested in First Bank in a year
  4. Amounts invested in First Bank and Second Bank in a year

A published solution is not available for this question yet.

Question 4 MCQ · 1.0 marks

Suppose you want to invest $4000 now and $2000 at the start of years 2 to 4. The interest rate offered by First Bank is 8% compounded annually, and the bonuses over the next 4 years are 1.8%, 1.7%, 2.1% and 2.5%, respectively. The annual interest rate offered by Second Bank is 0.2% lower than that of First Bank, but its bonus is 0.5% higher. The objective is to maximize the accumulated capital at the end of 4 years. If you apply Dynamic Programming to this problem, answer the given subquestions:
How state variable is defined for this problem?
  1. Year
  2. Capital available for investment at the start of a year
  3. Amounts invested in First Bank in a year
  4. Amounts invested in First Bank and Second Bank in a year

A published solution is not available for this question yet.

Question 5 NAT · 1.0 marks

Consider the following precedence diagram. It has 12 activities. The numbers in blue and within the braces denote the respective activity times in minutes. Answer the 3 subquestions based on the given diagram. [[IMAGE:789ea6d6609b5991_3_2]]
What is the minimum cycle time (in minutes) of the system?
Source diagram or notation

    A published solution is not available for this question yet.

    Question 6 NAT · 1.0 marks

    Consider the following precedence diagram. It has 12 activities. The numbers in blue and within the braces denote the respective activity times in minutes. Answer the 3 subquestions based on the given diagram. [[IMAGE:789ea6d6609b5991_3_2]]
    What is the maximum cycle time (in minutes) of the system?
    Source diagram or notation

      A published solution is not available for this question yet.

      Question 7 MCQ · 1.0 marks

      Consider the following precedence diagram. It has 12 activities. The numbers in blue and within the braces denote the respective activity times in minutes. Answer the 3 subquestions based on the given diagram. [[IMAGE:789ea6d6609b5991_3_2]]
      The factory works for one 8-hour shift each day. Is it possible to achieve an output of 32 units/day
      Source diagram or notation
      1. Yes
      2. No

      A published solution is not available for this question yet.

      Question 8 NAT · 1.5 marks

      Suppose you need to accept reservations for a flight. There are a total of 100 seats on the aircraft. You have two classes of passengers: economy and business. An economy seat generates ₹2,500 in revenue, while a business seat generates ₹7,500. Based on your experience, the demand for business travellers follows a uniform distribution between 10 and 20. Answer the given subquestions:
      What is the Booking limit?

        A published solution is not available for this question yet.

        Question 9 NAT · 1.5 marks

        Suppose you need to accept reservations for a flight. There are a total of 100 seats on the aircraft. You have two classes of passengers: economy and business. An economy seat generates ₹2,500 in revenue, while a business seat generates ₹7,500. Based on your experience, the demand for business travellers follows a uniform distribution between 10 and 20. Answer the given subquestions:
        What is the protection level?

          A published solution is not available for this question yet.

          Question 10 NAT · 1.0 marks

          Ramu puts up a stall for Diwali Light (Diya) every year. He builds a Diya at a cost of Rs. 3 and earns Rs.5 by selling each Diya. Any Diya not sold by Diwali will be discounted to Rs. 1. From his experience, Ramu knows that the demand is Uniformly Distributed within [800, 1000] units. Then answer the given sub-questions:
          What is the Critical Ratio?

            A published solution is not available for this question yet.

            Question 11 NAT · 1.0 marks

            Ramu puts up a stall for Diwali Light (Diya) every year. He builds a Diya at a cost of Rs. 3 and earns Rs.5 by selling each Diya. Any Diya not sold by Diwali will be discounted to Rs. 1. From his experience, Ramu knows that the demand is Uniformly Distributed within [800, 1000] units. Then answer the given sub-questions:
            What is the optimal order quantity that minimizes Ramu’s total cost?

              A published solution is not available for this question yet.

              Question 12 NAT · 1.0 marks

              A fashion retailer sells a limited-edition jacket for winter. The demand is normally distributed with a mean of 300 units and a standard deviation of 50 units. The cost price of each jacket is ₹1,500, and the selling price is ₹3,000. Unsold jackets can be returned for ₹1,200 per unit. Based on the above data, answer the given subquestions.
              What is the critical ratio? Round off your answer to two decimals.

                A published solution is not available for this question yet.

                Question 13 NAT · 1.0 marks

                A fashion retailer sells a limited-edition jacket for winter. The demand is normally distributed with a mean of 300 units and a standard deviation of 50 units. The cost price of each jacket is ₹1,500, and the selling price is ₹3,000. Unsold jackets can be returned for ₹1,200 per unit. Based on the above data, answer the given subquestions.
                What is the optimal order quantity (z-value= 0.97)

                  A published solution is not available for this question yet.

                  Question 14 NAT · 2.0 marks

                  A fashion retailer sells a limited-edition jacket for winter. The demand is normally distributed with a mean of 300 units and a standard deviation of 50 units. The cost price of each jacket is ₹1,500, and the selling price is ₹3,000. Unsold jackets can be returned for ₹1,200 per unit. Based on the above data, answer the given subquestions.
                  If the retailer orders 350 jackets, what is the probability of a stockout? Enter your answer to three decimals in numbers (not in percentage). E.g.if your answer is 18.34%, enter the answer as 0.183 (Norm.s.dist for this z-value= 0.8413)

                    A published solution is not available for this question yet.

                    Question 15 NAT · 2.0 marks

                    Colony Shop is stocking heavy coats for next winter. Colony pays $50 for coat and sells it for $110. At the end of the winter season, Colony Shop offers the coats at $55 each. The demand for coats during the winter season is more than 20 but less than or equal to 30, all with equal probabilities. Determine the optimal order quantity that will maximize revenue for Colony Shop. Consider demand to be continuous.

                      A published solution is not available for this question yet.

                      Question 16 NAT · 2.0 marks

                      Find the Euclidean distance between the points P(2, -1, 5) and Q(-3, 4, 2) in 3D space.

                        A published solution is not available for this question yet.

                        Question 17 MSQ · 3.0 marks

                        Select the appropriate purposes of facility layout from the list below:
                        1. minimize delay in material handling
                        2. enhance sales as appropriate in manufacturing and service facilities.
                        3. Provide for good maintenance
                        4. Funding a new project

                        A published solution is not available for this question yet.

                        Question 18 MSQ · 2.0 marks

                        Which of the following is/are considered in the Vehicle Routing Problem but not in TSP?
                        1. Subtour elimination
                        2. Any capacity restrictions
                        3. A specific starting point
                        4. Distance travelled restriction

                        A published solution is not available for this question yet.

                        Question 19 MSQ · 2.0 marks

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

                        A published solution is not available for this question yet.

                        Question 20 MSQ · 2.0 marks

                        Which of the following example(s) can be referred to as seasonal pattern?
                        1. Economic recission
                        2. Increases Ceiling Fan sales during winters
                        3. Increased tourist footfall towards the end of the year

                        A published solution is not available for this question yet.

                        Question 21 MSQ · 2.0 marks

                        Identify the examples for Outsourcing from the list below:
                        1. Concentrix manages customer service for Amazon .
                        2. Mastercard has set up a Data Science team in Gurgaon who will develop algorithm for Mastercard.
                        3. IIT Madras BS degree program has assigned TCS to create and manage the exam portal and its evaluation
                        4. Micron Technology, a US based semiconductor giant, setting up a Supply Chain Analytics team, in India.

                        A published solution is not available for this question yet.

                        Question 22 MSQ · 2.0 marks

                        Which of the following supply chain costs is/are affected by distribution network structure?
                        1. Inventory
                        2. Transportation
                        3. Facilities and handling
                        4. Information
                        5. Price

                        A published solution is not available for this question yet.

                        Question 23 MCQ · 1.0 marks

                        What is First Mile in a supply chain?
                        1. Movements from Vendor to Distribution centres
                        2. Movements from Distribution centres to stores
                        3. Movements from stores to customers

                        A published solution is not available for this question yet.

                        Question 24 MCQ · 1.0 marks

                        Identify the Industry 4.0 version of transportation.
                        1. IC engine
                        2. Electric car
                        3. Hyperloop

                        A published solution is not available for this question yet.

                        Question 25 MCQ · 2.0 marks

                        Match Column A with Column B (country of origin) [[IMAGE:789ea6d6609b5991_11_3]]
                        Source diagram or notation
                        1. A1:B1, A2:B2, A3:B3, A4:B4
                        2. A1:B2, A2:B1, A3:B3, A4:B4
                        3. A1:B3, A2:B1, A3:B4, A4:B2
                        4. A1:B3, A2:B1, A3: B2, A4:B4

                        A published solution is not available for this question yet.

                        Question 26 MCQ · 2.0 marks

                        Select the layout that do not require general supervision:
                        1. Product layout
                        2. Process layout
                        3. Group layout
                        4. Fixed position layout

                        A published solution is not available for this question yet.

                        Question 27 MCQ · 2.0 marks

                        What is the name of the forecasting method represented by the following set of equations? The notations have their usual meaning. [[IMAGE:789ea6d6609b5991_11_4]]
                        Source diagram or notation
                        1. Exponential smoothing
                        2. Winter’s model for seasonality
                        3. Holt’s method for trend
                        4. None of these

                        A published solution is not available for this question yet.

                        Question 28 MCQ · 2.0 marks

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

                        A published solution is not available for this question yet.

                        Question 29 MCQ · 1.5 marks

                        Which of the following functions does Logistics Management not cover?
                        1. Supply Management
                        2. Materials Management
                        3. Customer Management
                        4. Distribution Management

                        A published solution is not available for this question yet.

                        Question 30 MCQ · 1.5 marks

                        Which of the following is not a form of internet?
                        1. Industrial
                        2. Commercial
                        3. Philanthropic
                        4. Consumer

                        A published solution is not available for this question yet.