Industry 4.0 · Quiz 1 · Jan 2026

**1. Classify the product relationship P1:** Tea and coffee can satisfy a similar beverage need, so P1 maps to S2, substitution. **2. Classify P2:** Milk powder can be consumed together with tea, so P2 maps to S1, complementary products. Its unplanned purchase may also involve impulse buying, but the table asks for the product-pair relationship. **3. Explain the biscuit switch P3:** Limited Good-day stock leads Pranjal to buy the available Sun-fist brand. His observed purchase depends on shelf inventory, so P3 maps to S3, inventory-dependent demand. **Answer: B — P1–S2, P2–S1, P3–S3.** A: **Incorrect:** Tea/coffee are not the intended complementary pair, and the other two mappings do not match the scenario. B: **Correct:** It gives P1–S2, P2–S1 and P3–S3. C: **Incorrect:** The biscuit switch is attributed to stock availability rather than an unexplained impulse.

**1. Convert daily operating time:** Two 8-hour shifts provide \(T=2(8)(3600)=57{,}600\) seconds per day. **2. Divide time by required output:** \[C=\frac{T}{Q}=\frac{57{,}600}{30{,}000}=1.92\text{ seconds/unit}.\] **3. Apply the requested rounding:** The required line cycle time is 1.9 seconds to one decimal. This is the permitted interval between completed bulbs, not the sum of all task times. **Answer: 1.9.**

**1. Compute the unrounded cycle time:** \(C=57{,}600/30{,}000=1.92\) seconds per bulb. Retain this value while calculating the station requirement. **2. Divide total work by cycle time:** \[N_{\min}=\left\lceil\frac{\sum t_i}{C}\right\rceil=\left\lceil\frac{12}{1.92}\right\rceil=\lceil6.25\rceil=7.\] **3. Interpret the bound:** A fraction of a workstation is not allowed, so round upward. Seven is a theoretical lower bound; individual task times and precedence can require more stations. **Answer: 7.**

**1. Identify the distance objective:** The usual Euclidean location problem minimizes weighted straight-line distances: \[\min_{x,y}\sum_i w_i\sqrt{(x-x_i)^2+(y-y_i)^2}.\] Its solution is a weighted geometric median. **2. Distinguish the center of gravity:** A weighted coordinate mean minimizes the sum of squared distances, a different objective. It can coincide with a geometric median in symmetric cases, but equality is not guaranteed. **3. Interpret the standard result:** A nondegenerate Euclidean problem generally identifies a particular optimal point, rather than the median interval/rectangle possible with rectilinear distance. **Answer: B, C — B and C — generally a point, not generally the center of gravity.** **Convention note:** The question uses “rarely” informally. Coincidence depends on the data, and special collinear configurations can have an interval of minimizers. The answer assumes the usual unsquared Euclidean objective and a nondegenerate instance. A: **Incorrect:** A region is not the usual nondegenerate Euclidean-location result, though special collinear cases can have multiple optimal points. B: **Correct:** Read as “does not generally coincide”: a geometric median is not generally the weighted coordinate mean. C: **Correct:** A point is the standard nondegenerate result; this is not a uniqueness theorem for every possible dataset. D: **Incorrect:** If the malformed phrase means “none,” it is false because symmetry can produce coincidence; if it means “most,” that is not generally guaranteed.

**1. Identify a process layout:** Similar equipment or functions are grouped together, and each job follows the departments needed for its own processing requirements. **2. Identify the principal advantage:** Different products can follow different routes, giving flexibility for high variety and lower-volume production. This flexibility typically brings more handling, scheduling and operator-skill requirements. **Answer: D — It can accommodate high variety of products.** A: **Incorrect:** Variable routing generally increases material movement relative to a dedicated flow line. B: **Incorrect:** Queues, moves and different routes can lengthen throughput time. C: **Incorrect:** General-purpose equipment and varied jobs usually require skilled operators and substantial training. D: **Correct:** Flexible routing can accommodate many different product types.

**1. Sum the work content:** The nine task times are 20, 10, 60, 40, 20, 5, 5, 15 and 5 seconds, totaling 180 seconds per sandwich. **2. Use the stated operating output:** A 10-hour day provides 36,000 seconds. At 200 sandwiches/day, the observed cycle interval is \(C=36{,}000/200=180\) seconds. **3. Calculate utilization against the stated pace:** With nine stations, \[\eta=\frac{\sum t_i}{NC}\times100=\frac{180}{9(180)}\times100=11.11\%.\] Enter 11.11 without the percent sign. **Answer: 11.11.** **Convention note:** This uses the stated actual output of 200/day. If the question instead asks theoretical line-balancing efficiency at full bottleneck capacity, the longest station takes 60 seconds, giving 180/(9×60)=33.33%. The key’s 11–12 range uses the observed-output interpretation.

**1. Find the bottleneck:** Each unit must pass through the required stations. The station with the longest effective processing time cannot supply units as quickly as the others. **2. Convert its time into a rate:** For a simple serial line without parallel capacity, \(\text{maximum rate}=1/\max_i t_i\). Faster stations cannot remove that bottleneck merely by working faster. **Answer: A — Slowest station.** A: **Correct:** Its effective capacity limits the serial line’s sustainable throughput. B: **Incorrect:** A fast station can finish early but must wait for the bottleneck. C: **Incorrect:** An idle station is not the normal capacity-setting rule. D: **Incorrect:** The bottleneck station is already identified by A.

**1. Identify a product layout:** Workstations follow the fixed processing sequence for a standardized product. **2. Explain the inventory benefit:** A balanced, repetitive flow reduces movement and waiting between operations, helping keep work in process small. It does not guarantee low investment or high utilization under every demand level. **Answer: B — Small in-process inventory.** A: **Incorrect:** High variety generally favors a flexible process layout rather than a dedicated line. B: **Correct:** Continuous, coordinated flow can reduce intermediate queues and work in process. C: **Incorrect:** Utilization depends on demand and line balance; it is not guaranteed for all dedicated machines. D: **Incorrect:** Dedicated lines can require substantial initial investment.

**1. Read the axes:** Variety rises upward and volume rises to the right. Thus A is high-variety/low-volume, B is high-variety/high-volume, and D is low-variety/high-volume. **2. Match the layout choices:** A needs process-layout flexibility. B uses the question’s group/cellular compromise, organizing related product families. D favors a dedicated product flow line. **Answer: C — A: Process; B: Group; D: Product.** **Convention note:** The diagram is a simplified classification. Cellular/group layouts usually serve product families at intermediate variety and volume; the quadrant labels are interpreted within this figure. A: **Incorrect:** It places a product line in the high-variety quadrant and a process layout in the low-variety/high-volume quadrant. B: **Incorrect:** It assigns a product line to low volume/high variety and misses the high-volume/low-variety product quadrant. C: **Correct:** It gives A=Process, B=Group and D=Product, matching the displayed framework.

**1. Identify the intended production setting:** Aircraft assembly involves a large, heavy product for which moving every partially assembled unit through small functional departments can be impractical. **2. Apply the fixed-position principle:** The aircraft stays at its assembly position while workers, tools and components are brought to it. This is the fixed-position layout intended by the question. **Answer: D — Fixed position layout..** **Convention note:** The campus-style image labels functional buildings and does not itself prove that every aircraft operation is stationary. Real aircraft plants can combine layouts; D is the intended final-assembly classification. A: **Incorrect:** A product layout moves work through a fixed sequence of stations; it is not the intended stationary-aircraft arrangement. B: **Incorrect:** A process layout groups similar functions and routes jobs between them. C: **Incorrect:** A group layout organizes resources into cells for product families. D: **Correct:** The large aircraft remains in place while resources come to the assembly location.

**1. Identify the course’s advanced-transport example:** Hyperloop proposes high-speed movement of pods through low-pressure tubes, combining advanced propulsion, controls and infrastructure. **2. Match the offered choices:** Within this course’s historical examples, Hyperloop is the intended Industry 4.0 transport concept. An internal-combustion engine and an electric drivetrain alone do not define digitally connected transport. **Answer: C — Hyperloop.** **Convention note:** This is a course-specific example, not a universal technical definition of Industry 4.0. Connected, data-driven and autonomous systems can also be Industry 4.0 transport applications; an electric vehicle can incorporate them. A: **Incorrect:** The internal-combustion engine is an earlier industrial transport technology. B: **Incorrect:** Electric propulsion alone is not the course’s intended marker for Industry 4.0. C: **Correct:** Hyperloop is the advanced transport concept intended in this question.

**1. Interpret the supervision distinction:** A process layout groups similar machines or operations into functional departments. Each department can be supervised by a specialist in that process. **2. Identify the intended answer:** This enables specialized/functional supervision rather than relying only on one general supervisor across unlike operations. It does not eliminate supervision. **Answer: B — Process layout.** **Convention note:** Read “do not require general supervision” as “permit specialized functional supervision.” A process layout still requires supervision and can be demanding to schedule. A: **Incorrect:** A flow line still needs line coordination and supervision; it is not the functional-supervision answer sought. B: **Correct:** Grouping like processes supports specialized departmental supervision. C: **Incorrect:** Cells may support team supervision, but this is not the course’s intended functional-layout distinction. D: **Incorrect:** A stationary-product project still requires coordination of multiple specialties.

**1. Map the first two eras:** Industry 1.0 is associated with mechanization and steam power. Industry 2.0 is associated with electrical power, assembly lines and mass production. **2. Map the later eras:** Industry 3.0 uses electronics and computer-controlled automation, including CNC. Industry 4.0 extends this toward connected digital systems and data integration. **3. Read the complete mapping:** 1.0–Steam Engine, 2.0–Mass production, 3.0–CNC, 4.0–Digitization is the intended pairing. **Answer: C — 1.0: Steam Engine; 2.0: Mass production; 3.0: CNC; 4.0: Digitization.** **Convention note:** Digitization began before Industry 4.0. Here the fourth-era label is shorthand for broader digital connectivity and integration, rather than the claim that digital technology first appeared then. A: **Incorrect:** It places steam power in the fourth era and CNC in the first. B: **Incorrect:** It reverses the intended third- and fourth-era outcomes. C: **Correct:** It follows the intended historical sequence across all four eras. D: **Incorrect:** It reverses the early eras and places CNC in the fourth instead of the third.

**1. Identify what a layout decision controls:** It determines the physical arrangement of people, equipment, service points, storage and movement paths. **2. Check each change:** A new facility needs an arrangement; a new product or service can require different flows and resources; a technology change can alter space, access or equipment needs. All four can therefore make layout planning relevant. **Answer: A, B, C, D — A, B, C and D.** A: **Correct:** A new facility requires decisions about the placement of its resources. B: **Correct:** A new product may need new processing sequences, equipment or storage. C: **Correct:** A new service can change customer flow and the arrangement of service resources. D: **Correct:** New technology may require different machines, space, connections and movement paths.