Question 1
Choose the correct category in Column B for the costs in Column A
(1): (b), (2): (c), (3): (a)
(1) : (c), (2) : (b), (3) : (a)
(1) : (a), (2) : (b), (3) : (c)

The IIT Madras BS Industry 4.0 (Industry 4.0) Quiz 2 paper sat on 12 Apr 2026, in the January 2026 term: 21 questions for 23 marks in 120 minutes. Every question is below with its answer. Take it as a timed mock test to be marked, or read it through first.
Choose the correct category in Column B for the costs in Column A
(1): (b), (2): (c), (3): (a)
(1) : (c), (2) : (b), (3) : (a)
(1) : (a), (2) : (b), (3) : (c)
Correct answer
(1): (b), (2): (c), (3): (a)
Pranjal is shopping in a departmental store. He has a list of items which he prepared at home itself. He picked a few packets of tea as part of his list. He could see coffee packets and milk-powder packets in the neighbouring shelves. He picked a few milk-powder packets, however these are not part of his list. He was searching for Good-day biscuits. He could identify only one packet in the shelf remaining. However, there were lot of Sun-fist biscuits lying in the next shelf. So he picked ten Sun-fist packets. Now map the scenarios with the items below:
P1-S1, P2-S3, P3-S4
P1-S2, P2-S1, P3-S3
P1-S2, P2-S1, P3-S4
Correct answer
P1-S2, P2-S1, P3-S3
Which of the following examples can be referred as cyclic pattern?
Economic recission
Increases Ceiling Fan sales during winters
Increased tourist footfall towards the end of the year
Correct answer
Economic recission
Suppose, you are responsible for material purchase in an organization. You have demand forecast of a product for next four weeks which are 3, 4, 2 and 4 units respectively. You need to purchase one type of raw material to produce the final product to meet the above demand. Consider, one unit of the final product requires one unit of this raw material. Whenever an order is placed, your organization needs to incur a cost of 2 per unit. Holding cost of an item not gone for production at the end of a week is $0.5 per week. You can order a maximum of 5 units in a week and the warehouse has capacity to store upto 4 units of inventory in a week. Note that you need to meet the demand in every week. Solve the above problem using dynamic programming ( backward recursion) and answer the given sub-questions for this problem.
What does the state variable represent?
How many units of the raw material needs to be purchased in a week
Ending inventory with the warehouse in each week
Beginning inventory with the warehouse in each week
Correct answer
Beginning inventory with the warehouse in each week
Suppose, you are responsible for material purchase in an organization. You have demand forecast of a product for next four weeks which are 3, 4, 2 and 4 units respectively. You need to purchase one type of raw material to produce the final product to meet the above demand. Consider, one unit of the final product requires one unit of this raw material. Whenever an order is placed, your organization needs to incur a cost of 2 per unit. Holding cost of an item not gone for production at the end of a week is $0.5 per week. You can order a maximum of 5 units in a week and the warehouse has capacity to store upto 4 units of inventory in a week. Note that you need to meet the demand in every week. Solve the above problem using dynamic programming ( backward recursion) and answer the given sub-questions for this problem.
What does the action set represent?
How many units of the raw material needs to be purchased in a week
Ending inventory with the warehouse in each week
Beginning inventory with the warehouse in each week
Correct answer
How many units of the raw material needs to be purchased in a week
Select the cost(s) from the following list which contribute(s) to the shortage cost:
Loss of customer goodwill
Loss due to customer return
Cost of losing a customer
Loss of profit associated with not delivering the product
Correct answers
Loss of customer goodwill
Cost of losing a customer
Loss of profit associated with not delivering the product
Select the assumptions for single period newsvendor model.
Products are separable
Demand is deterministic
Inventory decision or deliveries are made before the demand is realized
Overstocking and Understocking costs are linear to the quantities
Correct answers
Products are separable
Inventory decision or deliveries are made before the demand is realized
Overstocking and Understocking costs are linear to the quantities
Match the following columns by selecting the correct name from Column B for the labels in column A which are depicted in the ‘Figure: EOQ model’ below:
A:Cost; B:Quantity; C:Total Cost; D:Carrying cost; E:Order cost; F:EOQ(Q*)
A:Cost; B:Quantity; C:Total cost; D:Order cost; E:Carrying cost; F:EOQ(Q*)
A:Quantity; B:Cost; C:Total Cost; D:Carrying cost; E:Order cost; F:EOQ(Q*)
A:Total cost; B:EOQ(Q*); C:Cost; D:Order cost; E:Carrying cost; F:Quantity
Correct answer
A:Cost; B:Quantity; C:Total cost; D:Order cost; E:Carrying cost; F:EOQ(Q*)
Which of the following model corresponds to Exponential Smoothing forecasting model?


Correct answer

A written answer, not marked automatically.
Ramu puts up a stall for Diwali Light (Diya) every year. He builds a Diya at a cost of Rs. 1 and earns Rs.2 by selling each Diya. Any Diya not sold by Diwali will be discounted to 50 Paisa. From his experience, Ramu knows that the demand is Uniformly Distributed within [800, 1000] units. Then answer the given subquestions:
What is the Critical Ratio? (round off your answer to two decimal places)
A written answer, not marked automatically.
Ramu puts up a stall for Diwali Light (Diya) every year. He builds a Diya at a cost of Rs. 1 and earns Rs.2 by selling each Diya. Any Diya not sold by Diwali will be discounted to 50 Paisa. From his experience, Ramu knows that the demand is Uniformly Distributed within [800, 1000] units. Then answer the given subquestions:
What is the optimal order quantity that minimizes Ramu’s total cost?
A written answer, not marked automatically.
Ramu puts up a stall for Diwali Light (Diya) every year. He builds a Diya at a cost of Rs. 1 and earns Rs.2 by selling each Diya. Any Diya not sold by Diwali will be discounted to 50 Paisa. From his experience, Ramu knows that the demand is Uniformly Distributed within [800, 1000] units. Then answer the given subquestions:
If the cost of overstocking is less than the cost of understocking, where will the optimal order quantity lies in the interval [800, 1000] units?
Toward left of the mean of uniform distribution [800,1000]
At the mean of uniform distribution [800,1000]
Towards right of the mean of uniform distribution [800,1000]
Correct answer
Towards right of the mean of uniform distribution [800,1000]
LIMAT Co. requires 1500 units of plastic ribbon per month. Each plastic ribbon costs Rs. 27 in the market. Placing an order costs Rs. 150 to Slipline Co. and the inventory carrying charges work out to 20% of the unit ribbon cost per year. Calculate the given subquestions:
What should be the order quantity which minimizes the total cost to LIMAT Co.
A written answer, not marked automatically.
LIMAT Co. requires 1500 units of plastic ribbon per month. Each plastic ribbon costs Rs. 27 in the market. Placing an order costs Rs. 150 to Slipline Co. and the inventory carrying charges work out to 20% of the unit ribbon cost per year. Calculate the given subquestions:
What is the number of orders per year?
A written answer, not marked automatically.
LIMAT Co. requires 1500 units of plastic ribbon per month. Each plastic ribbon costs Rs. 27 in the market. Placing an order costs Rs. 150 to Slipline Co. and the inventory carrying charges work out to 20% of the unit ribbon cost per year. Calculate the given subquestions:
What is the annual order cost?
A written answer, not marked automatically.
LIMAT Co. requires 1500 units of plastic ribbon per month. Each plastic ribbon costs Rs. 27 in the market. Placing an order costs Rs. 150 to Slipline Co. and the inventory carrying charges work out to 20% of the unit ribbon cost per year. Calculate the given subquestions:
What is the average inventory in the system?
A written answer, not marked automatically.
LIMAT Co. requires 1500 units of plastic ribbon per month. Each plastic ribbon costs Rs. 27 in the market. Placing an order costs Rs. 150 to Slipline Co. and the inventory carrying charges work out to 20% of the unit ribbon cost per year. Calculate the given subquestions:
What is the annual inventory carrying cost?
A written answer, not marked automatically.
Suppose, you are responsible for material purchase in an organization. You have demand forecast of a product for next four weeks which are 3, 4, 2 and 4 units respectively. You need to purchase one type of raw material to produce the final product to meet the above demand. Consider, one unit of the final product requires one unit of this raw material. Whenever an order is placed, your organization needs to incur a cost of 2 per unit. Holding cost of an item not gone for production at the end of a week is $0.5 per week. You can order a maximum of 5 units in a week and the warehouse has capacity to store upto 4 units of inventory in a week. Note that you need to meet the demand in every week. Solve the above problem using dynamic programming ( backward recursion) and answer the given sub-questions for this problem.
A written answer, not marked automatically.
Ramu puts up a stall for Diwali Light (Diya) every year. He builds a Diya at a cost of Rs. 1 and earns Rs.2 by selling each Diya. Any Diya not sold by Diwali will be discounted to 50 Paisa. From his experience, Ramu knows that the demand is Uniformly Distributed within [800, 1000] units. Then answer the given subquestions:
A written answer, not marked automatically.
LIMAT Co. requires 1500 units of plastic ribbon per month. Each plastic ribbon costs Rs. 27 in the market. Placing an order costs Rs. 150 to Slipline Co. and the inventory carrying charges work out to 20% of the unit ribbon cost per year. Calculate the given subquestions:
A written answer, not marked automatically.