Industry 4.0 · End Term · Sep 2025 · AN

GreenLeaf Chemicals Pvt. Ltd. manufactures liquid fertilizers. One of the main raw materials required is Chemical X. The production department has reported the following annual usage details: • Annual requirement of Chemical X: 12,000 liters • Cost of placing a purchase order: ₹150 per order • Annual holding (carrying) cost per liter: ₹2 Due to limited warehouse capacity, the management wants to optimize inventory levels and reduces unnecessary ordering costs. The purchase manager has suggested calculating the Economic Order Quantity (EOQ) to determine the best ordering policy. As the newly appointed Inventory Analyst, you are asked to calculate the given subquestions:

What is the Economic Order Quantity (EOQ) in liters/order

GreenLeaf Chemicals Pvt. Ltd. manufactures liquid fertilizers. One of the main raw materials required is Chemical X. The production department has reported the following annual usage details: • Annual requirement of Chemical X: 12,000 liters • Cost of placing a purchase order: ₹150 per order • Annual holding (carrying) cost per liter: ₹2 Due to limited warehouse capacity, the management wants to optimize inventory levels and reduces unnecessary ordering costs. The purchase manager has suggested calculating the Economic Order Quantity (EOQ) to determine the best ordering policy. As the newly appointed Inventory Analyst, you are asked to calculate the given subquestions:

What is the number of purchase orders to be placed per year? [Assume 1 year=52 weeks]

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.

Suppose you need to accept reservation for a flight. There are total 100 seats in the aircraft. You have two classes of passengers - economy and business. One economy seat gets you 2,500 Rs of revenue while a business seat gets 7,500 Rs. From your experience, you know the demand for business travelers follows a uniform distribution in [10,40]. Then answer the given subquestions:

What is the Booking limit?

Suppose you need to accept reservation for a flight. There are total 100 seats in the aircraft. You have two classes of passengers - economy and business. One economy seat gets you 2,500 Rs of revenue while a business seat gets 7,500 Rs. From your experience, you know the demand for business travelers follows a uniform distribution in [10,40]. Then answer the given subquestions:

What is the protection level?

Match the following columns:

Select the correct form of internet from column B corresponding to the example in Column A.

A factory works for two 8-hour shifts each day and produces a total of 24,000 electric bulbs using a set of workstations. There are 8 activities required to manufacture the bulb, such that the sum of all activity times is equal to 12 seconds. How many workstations are required to main the specified level of production (assuming that activities can be combined into those workstations in any order) (enter your answer in numeric value)?

Calculate the Euclidean distance between two machines located at the coordinates A(5,10) and B(2,6) in a shop floor.

There are four demand points at A(1,2), B(2,3), C(3,5), D(4,1). The respective demand at these points are 7, 1, 3, 5. Select the optimal location based on cross-median approach.

Which of the following example(s)s can be referred as seasonal pattern?

Which of the following functions, Logistics Management does not cover?

Which of the following is/are considered in the Vehicle Routing Problem but not considered in TSP?

What is the name of the forecasting method represented by the following set of equations? The notations represent the usual meaning

Which of the following supply chain costs is/are affected by distribution network structure?

Which of the following is not an example of digitization?

A contractor estimates that the size of the workforce needed over the next 5 weeks is 5, 7, 8, 4 and 6 workers, respectively. Excess labour kept on the force will cost $300 per worker per week, and new hiring in any week will incur a fixed cost of $400 plus $200 per worker per week. The objective is to minimize the total cost of labour needed for the project. If Dynamic Programming is applied to this problem, answer the given subquestions:

How is a stage represented by?

A contractor estimates that the size of the workforce needed over the next 5 weeks is 5, 7, 8, 4 and 6 workers, respectively. Excess labour kept on the force will cost $300 per worker per week, and new hiring in any week will incur a fixed cost of $400 plus $200 per worker per week. The objective is to minimize the total cost of labour needed for the project. If Dynamic Programming is applied to this problem, answer the given subquestions:

What are the alternatives in a stage?

A contractor estimates that the size of the workforce needed over the next 5 weeks is 5, 7, 8, 4 and 6 workers, respectively. Excess labour kept on the force will cost $300 per worker per week, and new hiring in any week will incur a fixed cost of $400 plus $200 per worker per week. The objective is to minimize the total cost of labour needed for the project. If Dynamic Programming is applied to this problem, answer the given subquestions:

What is the optimal solution (objective function value) in Stage 5 when the state variable takes value 4?

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]

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?

Identify the Industry 4.0 version of transportation.

Geet Mobile manufactures mobile phones of various types. Their product portfolio comprises of 15 types of headsets. These headsets comprise of limited types of components. Only a few of the components needs customization for different headsets. Which facility layout will best suit for Geet Mobile’s production?

Select the correct statements from below:

When is outsourcing not useful?

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 Sunfist packets. Now map the scenarios with the items below: