Certainly! Simplicity in design is a foundational principle that advocates for clarity, minimalism, and intuitiveness in a design, regardless of the medium (be it product design, graphic design, software design, or any other form of design). Here are some key points that encapsulate the simplicity in design principle: Clarity over Complexity: A simple design presents information or functionality clearly, making it easy for users to understand and interact with. Eliminate Unnecessary Elements: Every component, feature, or piece of content should have a clear purpose. Anything that doesn't serve a functional or aesthetic purpose should be reconsidered or removed. Intuitive Use: A design should be easy to use and require minimal explanation. Users should be able to understand how to interact with a design immediately. Focus on Essentials: Highlight the most important features or information. This ensures that the user isn't overwhelmed and can easily find what they're looking for. Consistency: Keeping design elements consistent across a product or platform makes it easier for users to learn and understand. Reduces Cognitive Load: Simple designs reduce the mental effort required by the user to understand or interact with it. This enhances usability and user experience. Flexibility: Simplicity often leads to designs that are more adaptable and flexible to changing requirements or environments. Aesthetic Appeal: While aesthetics are subjective, simple designs tend to age better and remain relevant longer than complex or trendy designs. In essence, simplicity in design aims to create solutions that are efficient, effective, and pleasing, by removing unnecessary elements and focusing on what truly matters. As the famous quote by designer Dieter Rams goes, "Good design is as little design as possible." User B&W Systems, a company that designs and sells management software online and in stores like Best Buy, is contemplating the creation of an online forecasting tool tailored for startups and small businesses. Phillips, after discussing with the technical team and examining past projects, developed task descriptions, time estimates, and task dependencies. He plans to utilize pre-existing software components to manage costs and timeline. However, due to the unpredictable nature of software development, time estimates for tasks varied. The company's leadership set a 35-week deadline for project completion. An initial review by Phillips suggested the need for timeline adjustments to meet this deadline, leading him to derive "crash" time estimates for tasks. Phillips recognized the project's significance and aimed to provide the board with a comprehensive analysis, including completion time, budget, and the likelihood of meeting the 35-week deadline. This report delves deep into the realm of project management, deploying advanced techniques like the Program Evaluation and Review Technique (PERT) and linear programming to critically analyze the Forecasto project. As we navigate through the subsequent sections, we can see that the following content is divided into several sections: 1. The estimated completion time of the project juxtaposed against its anticipated budget and the feasibility of completing it within the set timeframe. 2. Determining the absolute minimum time required to conclude the project using linear programming and the odds of adhering to this timeline. 3. A graphical elucidation of the 'crashing cost function', shedding light on its non-linear nature. 4. A comparative analysis between results derived from linear programming and the project's cost-duration rationale. 5. Financial implications of reducing the project's timeline to 35 weeks and the identification of specific tasks that could be expedited to attain this goal. 6. Evaluating the repercussions on the project's timeline and costs in scenarios where expected times for specific tasks like 'B' and 'D' are altered. Finally，in concluding the report, we'll encapsulate our findings, providing a coherent narrative on the project's prospects and potential strategies B&W Systems might employ. By marrying theoretical frameworks from project management with real-world application, this report aims to serve as a comprehensive guide for stakeholders at B&W Systems, aiding informed decision-making for the Forecasto project's successful implementation. Literature review (research about the basic steps of project management and what roles PERT and Crashing play) Essay body (answer the assignment questions as an essay format) Assignment Group Questions What is the estimated completion time for this project? What is the estimated project budget? What is the probability that the project can be completed in 35 weeks? (Evelyn) Time: Using PERT te=(optimistic+4(Mostlikely)+Pessimistic)/6 We need to calculate each task’s weighted average activity time first. te for Task A= (2+4*3+4)/6=3 te for Task B= (4+4*7+10)/6=7 te for Task C= (5+4*6+9)/6=6.33 te for Task D= (6+4*7+16)/6=8.33 te for Task E=(7+4*9+10)/6=8.83 te for Task F=(4+4*5+6)/6=5 te for Task G=(3+4*6+10)/6=6.17 te for Task H=(2+4*4+7)/6=4.17 te for Task I=(2+4*2+2)/6=2 te for Task J=(3+4*4+14)/6=5.5 te for Task K=(2+4*3+4)/6=3 Then we calculate the critical path. The critical path is A-C-D-E-F-J-K. TE=3+6.33+8.33+8.83+5+5.5+3=39.99 Therefore, Estimated completion time for this project is 40 days. Estimated project budget: Estimated project budget: TASK A: $10,000 TASK B (depends on A): $20,000 TASK C (depends on A): $15,000 TASK D (depends on C): $45,000 TASK E (depends on D): $10,000 TASK F (depends on B, E): $15,000 TASK G (depends on D): $20,000 TASK H (depends on C, E): $10,000 TASK I (depends on B): $5,000 TASK J (depends on F, G, H, I): $40,000 TASK K (depends on J): $15,000 The estimated project budget, by summing up the tasks' costs, is: $10,000 (A) + $20,000 (B) + $15,000 (C) + $45,000 (D) + $10,000 (E) + $15,000 (F) + $20,000 (G) + $10,000 (H) + $5,000 (I) + $40,000 (J) + $15,000 (K) = $20 5,000 Probability： With the table below Task Standard Deviation σ A (4 - 2)/6 = 0.33 B (10 - 4)/6 = 1 C (9 - 5)/6 = 0.67 D (16 - 6)/6 = 1.67 E (10 - 7)/6 = 0.5 F (6 - 4)/6 = 0.3 G (10 - 3)/6 = 1.17 H (7 - 2)/6 = 0.83 I (2 - 2)/6 = 0 J (14 - 3)/6 = 1.83 K (4 - 2)/6 = 0.33 each task with its corresponding stand deviation Variance=0.332+12+0.672+1.672+0.52+0.332+1.172+0.832+02+1.832+0.33210.22 Standard deviation: 10.223.2 Z=(35-40)3.2-1.5625 From the standard normal table, we can see that a Z-score of -1.5625 corresponds to a probability of approximately 0.0594 or 5.94%. This means there's a 5.94% probability that the project can be completed in 35 weeks or less, given this Z-score value. What is the minimum expected time in which this project can be completed (by using linear programming) ? What is the probability of completing the project in time? Evelyn By translating the problem into linear programming constraints and use Excel Solver to solve it, we get the following result: From the figure, we can see that the minimum expected time in which this project can be completed is 46 weeks. Probability: Z=(35-46)/3.2=-0.001091 Develop a graphic of the crashing cost function. Why is the crash cost curve non-linear?

Certainly! Simplicity in design is a foundational principle that advocates for clarity, minimalism, and intuitiveness in a design, regardless of the medium (be it product design, graphic design, software design, or any other form of design).

Here are some key points that encapsulate the simplicity in design principle:

Clarity over Complexity: A simple design presents information or functionality clearly, making it easy for users to understand and interact with.

Eliminate Unnecessary Elements: Every component, feature, or piece of content should have a clear purpose. Anything that doesn't serve a functional or aesthetic purpose should be reconsidered or removed.

Intuitive Use: A design should be easy to use and require minimal explanation. Users should be able to understand how to interact with a design immediately.

Focus on Essentials: Highlight the most important features or information. This ensures that the user isn't overwhelmed and can easily find what they're looking for.

Consistency: Keeping design elements consistent across a product or platform makes it easier for users to learn and understand.

Reduces Cognitive Load: Simple designs reduce the mental effort required by the user to understand or interact with it. This enhances usability and user experience.

Flexibility: Simplicity often leads to designs that are more adaptable and flexible to changing requirements or environments.

Aesthetic Appeal: While aesthetics are subjective, simple designs tend to age better and remain relevant longer than complex or trendy designs.

In essence, simplicity in design aims to create solutions that are efficient, effective, and pleasing, by removing unnecessary elements and focusing on what truly matters. As the famous quote by designer Dieter Rams goes, "Good design is as little design as possible."

User B&W Systems, a company that designs and sells management software online and in stores like Best Buy, is contemplating the creation of an online forecasting tool tailored for startups and small businesses. Phillips, after discussing with the technical team and examining past projects, developed task descriptions, time estimates, and task dependencies. He plans to utilize pre-existing software components to manage costs and timeline. However, due to the unpredictable nature of software development, time estimates for tasks varied. The company's leadership set a 35-week deadline for project completion. An initial review by Phillips suggested the need for timeline adjustments to meet this deadline, leading him to derive "crash" time estimates for tasks. Phillips recognized the project's significance and aimed to provide the board with a comprehensive analysis, including completion time, budget, and the likelihood of meeting the 35-week deadline.

This report delves deep into the realm of project management, deploying advanced techniques like the Program Evaluation and Review Technique (PERT) and linear programming to critically analyze the Forecasto project. As we navigate through the subsequent sections, we can see that the following content is divided into several sections:

1. The estimated completion time of the project juxtaposed against its anticipated budget and the feasibility of completing it within the set timeframe.
   

2. Determining the absolute minimum time required to conclude the project using linear programming and the odds of adhering to this timeline.
   

3. A graphical elucidation of the 'crashing cost function', shedding light on its non-linear nature.
   

4. A comparative analysis between results derived from linear programming and the project's cost-duration rationale.
   

5. Financial implications of reducing the project's timeline to 35 weeks and the identification of specific tasks that could be expedited to attain this goal.
   

6. Evaluating the repercussions on the project's timeline and costs in scenarios where expected times for specific tasks like 'B' and 'D' are altered.
   

Finally，in concluding the report, we'll encapsulate our findings, providing a coherent narrative on the project's prospects and potential strategies B&W Systems might employ. By marrying theoretical frameworks from project management with real-world application, this report aims to serve as a comprehensive guide for stakeholders at B&W Systems, aiding informed decision-making for the Forecasto project's successful implementation.

Literature review (research about the basic steps of project management and what roles PERT and Crashing play)

Essay body (answer the assignment questions as an essay format) Assignment Group Questions What is the estimated completion time for this project? What is the estimated project budget? What is the probability that the project can be completed in 35 weeks? (Evelyn)

Time: Using PERT te=(optimistic+4(Mostlikely)+Pessimistic)/6 We need to calculate each task’s weighted average activity time first. te for Task A= (2+43+4)/6=3 te for Task B= (4+47+10)/6=7 te for Task C= (5+46+9)/6=6.33 te for Task D= (6+47+16)/6=8.33 te for Task E=(7+49+10)/6=8.83 te for Task F=(4+45+6)/6=5 te for Task G=(3+46+10)/6=6.17 te for Task H=(2+44+7)/6=4.17 te for Task I=(2+42+2)/6=2 te for Task J=(3+44+14)/6=5.5 te for Task K=(2+4*3+4)/6=3

Then we calculate the critical path.

The critical path is A-C-D-E-F-J-K. TE=3+6.33+8.33+8.83+5+5.5+3=39.99 Therefore, Estimated completion time for this project is 40 days.

       Estimated project budget: 

   	Estimated project budget:

TASK A: $10,000 TASK B (depends on A):$20,000 TASK C (depends on A): $15,000 TASK D (depends on C):$45,000 TASK E (depends on D): $10,000 TASK F (depends on B, E):$15,000 TASK G (depends on D): $20,000 TASK H (depends on C, E):$10,000 TASK I (depends on B): $5,000 TASK J (depends on F, G, H, I):$40,000 TASK K (depends on J): $15,000

The estimated project budget, by summing up the tasks' costs, is: $10,000 (A) +$20,000 (B) + $15,000 (C) +$45,000 (D) + $10,000 (E) +$15,000 (F) + $20,000 (G) +$10,000 (H) + $5,000 (I) +$40,000 (J) + $15,000 (K) =$20 5,000

       Probability：
       With the table below

Task Standard Deviation σ A (4 - 2)/6 = 0.33 B (10 - 4)/6 = 1 C (9 - 5)/6 = 0.67 D (16 - 6)/6 = 1.67 E (10 - 7)/6 = 0.5 F (6 - 4)/6 = 0.3 G (10 - 3)/6 = 1.17 H (7 - 2)/6 = 0.83 I (2 - 2)/6 = 0 J (14 - 3)/6 = 1.83 K (4 - 2)/6 = 0.33

each task with its corresponding stand deviation Variance=0.332+12+0.672+1.672+0.52+0.332+1.172+0.832+02+1.832+0.33210.22 Standard deviation: 10.223.2 Z=(35-40)3.2-1.5625 From the standard normal table, we can see that a Z-score of -1.5625 corresponds to a probability of approximately 0.0594 or 5.94%. This means there's a 5.94% probability that the project can be completed in 35 weeks or less, given this Z-score value.

What is the minimum expected time in which this project can be completed (by using linear programming) ? What is the probability of completing the project in time? Evelyn By translating the problem into linear programming constraints and use Excel Solver to solve it, we get the following result:

From the figure, we can see that the minimum expected time in which this project can be completed is 46 weeks. Probability: Z=(35-46)/3.2=-0.001091

Develop a graphic of the crashing cost function. Why is the crash cost curve non-linear?