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Optimization Techniques Quiz

Total questions: 48

Worksheet time: 24mins

Name
Class
Date
1.

Ananya is planning to optimize her weekly budget for groceries using Linear Programming. She knows that to achieve the best results, her budget must adhere to certain principles. Which of the following principles does she need to consider?

a)

Proportionality

b)

Additivity

c)

Divisibility

d)

All of the above

2.

Tisha is planning to start a new business and needs to decide how to allocate her resources effectively. In her business plan, she identifies an objective function that represents her:

a)

Constraints

b)

Optimization goal

c)

Feasible region

d)

None

3.

Arnav is planning a community garden and wants to ensure that his design is practical. A feasible garden design must satisfy:

a)

All constraints

b)

Only non-negativity

c)

Only objective function

d)

None

4.

In a community garden, Kabir and Siya are planting their vegetables. If their planting rows intersect at the point (2,3), this point is:

a)

A feasible solution

b)

A BFS

c)

Both (a) and (b)

d)

None

5.

Anika is trying to plan a community event, but after reviewing the venue options and the number of attendees, she realizes that there are no suitable locations that can accommodate everyone. If Anika has no feasible venue options, the problem is:

a)

Unbounded

b)

Infeasible

c)

Multiple solution

d)

Degenerate

6.

In a maximization LPP, a company is trying to determine the optimal production levels of two products to maximize its profit. The company uses Solver’s “Simplex LP” method because:

a)

It handles non-linearity

b)

It handles linear constraints

c)

It is faster for binary models

d)

None

7.

In a manufacturing company, Naira is trying to maximize the profit from producing two products. She finds that the profit line is parallel to the feasible region of production limits. What does this indicate about her production options?

a)

No solution

b)

Unique

c)

Multiple optimal

d)

Unbounded

8.

Eshaan is using Excel Solver to optimize his business's production schedule. He needs to determine the best way to allocate resources to maximize profits. Which of the following is NOT required for him to set up in Excel Solver?

a)

Objective cell

b)

Variable cells

c)

Constraints

d)

Pivot Table

9.

In a project management scenario, Arnav is trying to allocate resources to different tasks. However, he encounters a message stating, "Solver could not find feasible solution." What does this mean?

a)

Unbounded

b)

Infeasible

c)

Degenerate

d)

Multiple

10.

Alisha is trying to maximize her profit from selling handmade crafts. She realizes that her profit becomes unbounded when:

a)

No intersection

b)

Feasible region is closed

c)

Objective has no upper limit

d)

Variables are integers

11.

In a factory, Saisha is trying to minimize the cost of production. She adjusts the production levels to find the most cost-effective solution. As she analyzes the cost graph, she notices that the objective line:

a)

Moves upward

b)

Moves downward

c)

Stays fixed

d)

Random

12.

Mira is working on a project that requires optimization using Solver. She needs to add constraints to her model to ensure it meets specific requirements. To add constraints in Solver, she should use:

a)

Add Constraint

b)

Load Model

c)

GRG Nonlinear

d)

Assume Linear

13.

In a project management meeting, the team discusses the outcomes of their recent optimization efforts. They realize that the alternate solver solutions indicate:

a)

Infeasible

b)

Multiple optimal

c)

Unbounded

d)

Unique

14.

Aarush is managing a delivery service where he needs to ensure that the number of packages he has to deliver matches the number of packages requested by customers. This situation is referred to as balanced transportation. What does balanced transportation mean in this context?

a)

Supply = demand

b)

Supply < demand

c)

Supply > demand

d)

Supply = 0

15.

In a logistics company, Naira is tasked with distributing goods to various locations. However, she notices that the supply of goods does not match the demand at some locations, leading to an unbalanced transportation problem. To resolve this issue, how can Naira balance the transportation?

a)

Adding dummy row/column

b)

Deleting row

c)

Changing costs

d)

None

16.

Avani is managing a logistics company and needs to optimize the transportation of goods using Excel. She wonders how to approach this problem effectively.

a)

Simplex directly

b)

Solver with constraints

c)

Pivot tables

d)

Power Query

17.

In a factory, Neha is tasked with assigning workers to different machines to maximize efficiency. This assignment problem is a special case of:

a)

LPP

b)

Balanced transportation

c)

Unbalanced transportation

d)

Simplex method

18.

In a factory, the manager needs to allocate tasks to workers for a project. The tasks can be assigned in different ways based on the requirements:

a)

Fractional

b)

Integer

c)

Binary (0/1)

d)

Continuous

19.

If two assignments give the same cost:

a)

Infeasible

b)

Multiple optimal solutions

c)

Unbounded

d)

Degenerate

20.

In a project management scenario, Tisha is tasked with allocating resources to different tasks while adhering to specific constraints. She needs to determine which type of assignment constraints to use:

a)

Integer

b)

Binary

c)

GRG

d)

Evolutionary

21.

In a factory, there are more machines than jobs available. To ensure that all machines are utilized effectively, the manager decides to balance the assignment of jobs to machines. Unbalanced assignment is balanced by:

a)

Adding dummy job/machine

b)

Subtract rows

c)

Multiply costs

d)

Delete row

22.

In a logistics company, Eshaan is trying to optimize the delivery routes for his fleet of trucks. He notices that the allocations of goods to be delivered are less than the required number of routes available. This situation is referred to as degeneracy in transportation. When does this occur?

a)

Allocations < m+n–1

b)

= m+n–1

c)

> m+n–1

d)

Costs are negative

23.

In a city where all taxi fares are the same regardless of distance:

a)

Any feasible solution is optimal

b)

Infeasible

c)

Incomplete

d)

Unbounded

24.

Aashi is considering investing in a new business venture. She wants to evaluate the potential outcomes of her investment. To do this, she calculates the Expected Monetary Value (EMV) of her investment options. EMV is defined as:

a)

Sum of payoffs

b)

Σ (Payoff × Probability)

c)

Sum of probabilities

d)

Payoff – probability

25.

Aarav is considering investing in a new business venture. He wants to determine the value of perfect information before making his decision. He knows that the expected value of perfect information (EVPI) is calculated as:

a)

Best – worst

b)

EV with perfect information – EMV

c)

EMV – uncertainty

d)

None

26.

Aashi is considering investing in a new startup. She has researched the market and found that there are various outcomes based on different scenarios. She knows the probabilities of success and failure based on past data. In this context, Decision under risk uses:

a)

No probabilities

b)

Known probabilities

c)

Unknown probabilities

d)

Conflict only

27.

In a project management meeting, Aanya presents a decision tree to illustrate the various paths the team can take for their upcoming product launch. The branches of the tree represent:

a)

Decision & chance outcomes

b)

LPP constraints

c)

Regression

d)

Inventory

28.

Maximum EVPI occurs when:

a)

All states equal

b)

Decision irrelevant

c)

No prior information

d)

Perfect info changes choice

29.

In a competitive business environment, Myra and Neha are trying to decide on the best strategy to launch their new product. They realize that their decisions may conflict due to differing opinions on market trends and customer preferences. Conflict in decision making is studied in:

a)

PERT

b)

Game Theory

c)

Simulation

d)

Regression

30.

Aarush, a risk-averse decision maker, prefers:

a)

High variance

b)

Low variance

c)

Zero cost

d)

Max EMV

31.

Ria is analyzing different investment options in Excel to determine the best choice for her savings. She is using decision tree analysis to evaluate the expected monetary value (EMV) of each option. In Excel, decision tree analysis uses:

a)

SUMPRODUCT (mainly for EMV)

b)

If

c)

Solver

d)

Correlation

32.

In a business decision-making scenario, Avani is evaluating different investment options for her startup. She wants to minimize potential losses while maximizing her returns. Which option should she choose to achieve the minimum expected opportunity loss (EOL)?

a)

Highest EMV

b)

Lowest regret

c)

Highest regret

d)

Lowest payoff

33.

Tisha is considering an investment opportunity that has different outcomes based on market conditions. She wants to determine the expected value (EV) of her investment under certainty. What does EV under certainty equal?

a)

Max payoff

b)

Best payoff per state (weighted by perfect info)

c)

Zero

d)

Negative

34.

In a competitive game of poker, the total amount of money won by one player is equal to the total amount lost by the other players. This situation is known as a:

a)

Gains + losses = 0

b)

Both win

c)

Positive payoff

d)

None

35.

Aarush and Dhruv are playing a game where they have to choose strategies to maximize their payoffs. A saddle point exists in their game when:

a)

Minimax = Maximin

b)

Payoffs negative

c)

Only 2×2

d)

None of the above

36.

In a competitive market, two companies, Company A and Company B, are deciding on their pricing strategies. Pure strategy exists when:

a)

No saddle

b)

Saddle point exists

c)

Players mix

d)

Cooperate

37.

Asher is analyzing a game theory matrix to determine the best strategies for his team in a competitive game. He needs to evaluate the matrix using:

a)

MIN & MAX functions in Excel

b)

Solver

c)

Lookup

d)

Countifs

38.

In a business meeting, the team is discussing strategies for a new project. If no clear direction or consensus (saddle) exists among the team members, the strategy used is:

a)

Pure

b)

Mixed

c)

Neither

d)

Both

39.

Shaan is managing a project that involves multiple tasks, and he needs to estimate the time required for each task. He decides to use a method that provides a fixed time estimate for each task based on historical data. What method is Shaan using?

a)

Probabilistic times

b)

Deterministic times

c)

Random

d)

Exponential

40.

In a project management meeting, Akhil is explaining how to estimate project timelines using PERT. He mentions that PERT uses:

a)

Pessimistic, Critical, Float

b)

Optimistic, Most Likely, Pessimistic

c)

Min, Max, Avg

d)

Normal, Crash, Expected

41.

In a construction project, Myra is managing the schedule and needs to identify the critical path to ensure timely completion. She realizes that the critical path is the path with:

a)

Shortest

b)

Maximum float

c)

Zero float

42.

Aarush is managing a project with several tasks that have specific deadlines. He discovers that some tasks can be delayed without affecting the overall project duration. This flexibility is known as slack (float). What does slack (float) mean in this context?

a)

Allowable delay without affecting duration

b)

Extra cost

c)

Waiting time

d)

None

43.

In a project management scenario, Kiara is calculating the expected time to complete a task using the PERT method. She knows the optimistic time (O), the most likely time (M), and the pessimistic time (P) for the task. What formula should she use to find the expected time?

a)

(O + 4M + P) / 6

b)

(O+M+P)/3

c)

(O+2M+P)/4

d)

O×M×P

44.

Krish is working on a project that involves a highly intricate system with numerous variables and interactions. He realizes that the problem is too complex for an analytical model to provide a clear solution. In this situation, he considers using simulation. When is simulation typically used?

a)

Problem too complex for analytical model

b)

Only linear models exist

c)

Costs zero

d)

Probabilities unknown

45.

In a financial analysis meeting, Alisha is explaining how Monte Carlo simulation can be used to predict the potential outcomes of an investment. She emphasizes the importance of using:

a)

Random numbers

b)

Pivot

c)

Solver

d)

Simplex

46.

Aditi is working on a financial report in Excel and needs to generate random numbers for her analysis. She wonders which functions she can use to achieve this.

a)

RAND()

b)

RANDBETWEEN()

c)

Both

d)

None

47.

In a scientific experiment, Krish is conducting a series of trials to test the accuracy of a new simulation model. He wonders how the number of trials affects the accuracy of his simulation. He thinks about the following:

a)

Trials increase

b)

Trials decrease

c)

Random numbers reduce

d)

None

48.

Eshaan is working on a project that involves predicting the outcome of a complex financial investment. He knows that the first step in Monte Carlo Simulation is crucial for the success of his analysis.

a)

Interpret

b)

Define problem and model

c)

Generate numbers

d)

Run Solver