Management 2021 Paper II 50 marks Solve

Q3

(a) (i) What is e-business architecture? Which technological innovations have had a major impact on it? 5 marks (ii) Describe the four pillars of e-governance and the various types of interactions performed in e-governance. 5 marks (iii) Discuss the Indian Government's efforts and actions towards implementing e-governance. 5 marks (b) (i) Solve the following Linear Programming Problem by Graphical Method: 10 marks Minimize cost: C = 5x₁ + 6x₂ subject to: x₁ + x₂ = 1000 x₁ ≤ 300 x₂ ≥ 150 x₁, x₂ ≥ 0 (ii) A certain drug is claimed to be effective in curing cold. In an experiment on 500 persons suffering from cold, half of them were given the drug and the other half were given the sugar pills. Patients' reactions to the treatment are recorded in the following table: | Treatment | Helped | Harmed | No Effect | |-----------|--------|--------|-----------| | Drug | 150 | 30 | 70 | | Sugar pills | 130 | 40 | 80 | | Total | 280 | 70 | 150 | On the basis of the above data, can it be concluded that there is a significant difference in the effect of drug and sugar pills? 10 marks (c) (i) Apply the concept of "Decay Curve of New Product Ideas" to an innovative product like 'e-Bike'. 5 marks (ii) A manufacturing company always uses a sample size of 10. Data for the past 10 samples are as follows: | Number of Defective Units | Total Units Sampled | |---|---| | 150 | 1,000 | The system is believed to be operating under normal conditions. (A) Construct a control chart with control limits such that measurements for 95% of the units under normal conditions would fall within the control limits. 5 marks (B) Suppose the number of units defective in the next 5 samples are: 3, 4, 2, 0 and 7. Demonstrate graphically whether the process is under control or not. 5 marks

हिंदी में प्रश्न पढ़ें

(a) (i) ई-व्यवसाय वास्तुकला क्या है? किन तकनीकी नवाचारों का इस पर प्रमुख प्रभाव पड़ा है? (ii) ई-शासन के चार स्तम्भों एवं ई-शासन में निष्पादित विभिन्न प्रकार की पारस्परिक-क्रियाओं का वर्णन कीजिए। (iii) ई-शासन के क्रियान्वयन के लिए भारत सरकार के प्रयासों एवं कार्यों की विवेचना कीजिए। (b) (i) निम्नलिखित रैखिक (लीनियर) प्रोग्रामिंग समस्या को आलेखीय (ग्राफिकल) विधि से हल कीजिए: लागत न्यूनतम करना: C = 5x₁ + 6x₂ लागू शर्तें: x₁ + x₂ = 1000 x₁ ≤ 300 x₂ ≥ 150 x₁, x₂ ≥ 0 (ii) एक निश्चित दवा का सर्दी को ठीक करने में प्रभावी होने का दावा किया जाता है। सर्दी-जुकाम से पीड़ित 500 व्यक्तियों पर किए गए प्रयोग में उनमें से आधे को दवा एवं आधे को चीनी की गोलियाँ दी गईं। निम्नलिखित सारणी में रोगी के उपचार की प्रतिक्रियाएँ दर्ज की गई हैं: | उपचार | मददगार | नुकसानदायक | कोई प्रभाव नहीं | |--------|--------|-----------|---------------| | दवा | 150 | 30 | 70 | | चीनी की गोलियाँ | 130 | 40 | 80 | | कुल | 280 | 70 | 150 | उपर्युक्त आँकड़ों के आधार पर क्या यह निष्कर्ष निकाला जा सकता है कि दवा और चीनी की गोलियों के प्रभाव में महत्त्वपूर्ण भिन्नता है? (c) (i) 'ई-बाइक' जैसे नवप्रवर्तक उत्पाद के लिए "नवीन उत्पाद विचारों का क्षय वक्र" संकल्पना को लागू कीजिए। (ii) एक विनिर्माण कंपनी हमेशा 10 का नमूना आकार (सैम्पल साइज़) उपयोग में लेती है। पिछले 10 नमूनों के आँकड़े निम्नलिखित सारणी में दिए गए हैं: | दोषपूर्ण इकाइयों की संख्या | कुल नमूने की इकाइयाँ | |---|---| | 150 | 1,000 | ऐसा विश्वास है कि यह प्रणाली (सिस्टम) सामान्य परिस्थितियों (शर्तों) में ही संचालित हो रही है। (A) नियंत्रण सीमाओं के साथ एक नियंत्रण चार्ट बनाइए ताकि सामान्य परिस्थितियों (शर्तों) में कुल मापी गई इकाइयों का 95% नियंत्रण सीमाओं के अंदर पाया जाए। (B) मान लीजिए कि अगले 5 नमूनों में दोषपूर्ण इकाइयों की संख्या: 3, 4, 2, 0 एवं 7 है। आलेखीय (ग्राफिकल) रूप से प्रदर्शित कीजिए कि क्या प्रक्रिया नियंत्रण में है अथवा नहीं।

Directive word: Solve

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How this answer will be evaluated

Approach

This multi-part question requires solving numerical problems alongside descriptive answers. Begin with (b)(i) LPP graphical solution and (b)(ii) chi-square test as they carry 20 marks combined—allocate ~35% time here. For (a)(i)-(iii), structure definitions first, then pillars/interactions, followed by Indian e-governance initiatives like Digital India and UMANG. For (c), apply the decay curve concept to e-Bike innovation stages, then construct p-chart for quality control with clear graphical demonstration. Conclude with integrated insights on technology-management convergence.

Key points expected

  • (a)(i) E-business architecture definition covering infrastructure, application, and integration layers; technological innovations like cloud computing, IoT, AI/ML, blockchain, and 5G networks
  • (a)(ii) Four pillars of e-governance (People, Process, Technology, Resources) and G2G, G2C, G2B, G2E interaction types with brief explanations
  • (a)(iii) Indian e-governance efforts: Digital India, UMANG, DigiLocker, e-Hospital, GSTN, NeGP, and state initiatives like Karnataka's Bhoomi or Andhra Pradesh's e-Pragati
  • (b)(i) Correct graphical LPP solution: identify feasible region from equality constraint x₁+x₂=1000 intersecting with x₁≤300 and x₂≥150, optimal point at (300,700), minimum cost C=5(300)+6(700)=5700
  • (b)(ii) Chi-square test for independence: calculate expected frequencies, χ² statistic, compare with critical value at 5% or 1% significance, conclude on drug effectiveness claim
  • (c)(i) Decay curve application to e-Bike: idea generation stage, screening and evaluation, business analysis, product development, test marketing, commercialization with attrition at each stage
  • (c)(ii) p-chart construction: center line p̄=150/1000=0.15, control limits UCL/LCL = p̄ ± 3√[p̄(1-p̄)/n], plot sample proportions 0.3,0.4,0.2,0,0.7 to show out-of-control signals

Evaluation rubric

DimensionWeightMax marksExcellentAveragePoor
Concept correctness25%12.5Precise definitions of e-business architecture components; accurate identification of four e-governance pillars; mathematically correct LPP solution with proper feasible region identification and optimal point calculation; correct chi-square test procedure with proper degrees of freedom and conclusion; accurate decay curve stages application to e-Bike; correct p-chart formulas with proper control limit calculationBasic definitions present but some technical inaccuracies; LPP attempted with minor calculation errors; chi-square test applied but with wrong expected frequencies or significance level; decay curve mentioned but stages misapplied; p-chart constructed with formula errorsVague or incorrect definitions; major mathematical errors in LPP or chi-square; confusion between control charts; fundamental misunderstanding of decay curve or e-governance pillars
Framework citation15%7.5Explicit mention of Back and Rogers' e-governance framework; reference to Wirtz's e-business architecture model; citation of Booz Allen Hamilton's new product development decay curve; proper statistical frameworks (chi-square distribution, Shewhart control charts); use of standard LPP graphical method conventionsImplicit use of frameworks without naming; correct methodology but missing attribution; generic references to 'models' without specificityNo framework identification; ad-hoc approaches without theoretical grounding; confusion between different management/statistical frameworks
Case / Indian example20%10Specific Indian e-governance examples: Digital India (2015), UMANG app, DigiLocker, Aadhaar integration, GST Network, NeGP components like CSCs; state-level initiatives (Seva Sindhu, e-District); Indian e-Bike market context (Ola Electric, Ather Energy, Hero Electric); Make in India relevance for quality controlGeneric mention of 'government portals' without naming; international examples when Indian ones expected; e-Bike discussion without Indian market contextNo Indian examples; irrelevant foreign cases; complete absence of contemporary e-governance initiatives
Multi-perspective analysis20%10For (a): technology, administrative reform, and citizen-centric perspectives on e-governance; for (b)(ii): both statistical significance and practical/clinical significance of drug trial; for (c)(i): marketing, technical feasibility, and financial viability perspectives in decay curve; for (c)(ii): producer risk vs consumer risk in quality control; integration of quantitative and qualitative insights across all partsSingle perspective dominance; quantitative focus without interpretation or vice versa; partial integration between sub-partsFragmented treatment with no connection between sub-parts; purely mechanical solutions without analysis; missing alternative interpretations of data
Conclusion & recommendation20%10Synthesized conclusion linking e-governance challenges to technological solutions; clear statement on drug effectiveness based on statistical evidence; actionable recommendations for e-Bike innovation management based on decay curve insights; process control recommendations with specific corrective actions for out-of-control signals; forward-looking statement on Industry 4.0 integrationSummary restatement of findings without synthesis; generic recommendations not tied to specific analysis; missing conclusion for some sub-partsAbrupt ending without conclusion; conclusions contradicting earlier analysis; no recommendations despite analytical findings; irrelevant or impractical suggestions

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