Problem Statement You are newly hired in a soft drink making company. The company decided to introduce a new brand with the addition of mint in its existing flavor. The company also wants to introduce this new brand in some attractive tin pack in different quantity. They want to introduce 400ml and one liter tin packs for the promotion of their brand. For making these tin packs the cost of the top and bottom of a tin is 5/3 times the cost of the body/cylinder. The company assign you to suggest the dimensions of the required tin packs which also minimize the cost of production of the tin packs. Moreover, check whether there are more options or is only one option to construct the required tin packs to get optimize solution. Furthermore, the total budget for this new brand was assigned only $1 million. Therefore, also find how many tin packs of two sizes must be prepared to get the maximum profit if there is profit on each tin of 400ml is one dollar and $3 for each tin pack of one liter. Finally, use MATLAB to write a program which will provide you the optimal dimensions subject to the constraint of cost. The program will take dimensions of the tin packs as input and return the cost and quantity of each size. Program requirements 1. The program must come with a detailed instructions manual explaining each line of the program and steps required to successfully run the program. 2. On (every) first run, the program must display name of your programming team along with student ids. 3. At this stage, a message should be displayed to press any key to continue. 4. At this stage, the program must ask the user if they wish to run another query or terminate the program. Based on user input, program must act accordingly. Report Requirements Students are required to submit a complete report of their project in their own words, including: Sr. No. Deliverable Marks 1. Objectives and introduction of the problem. 5 2. A step-by-step by-hand solution. Clearly state the assumptions and values that you use for the solution. 15 3. 10 4. A well commented MATLAB code with line-by-line explanation. This part must include the explanation of the commands, functions, and toolboxes used. A step-by-step example demonstrating the MATLAB solution. Also provide an instruction's manual to run the MATLAB program to obtain the MATLAB solution demonstrated in the example. Detailed results section. Present results and graphs of your analytical and MATLAB solution in this section, compare and discuss your results including their physical interpretation. 10 5. 10 6. Flowchart of the solution methodology. 5 7. 3D figure. 5 8. 5 Conclusions. In this section include conclusions related to this project, summary of problem and results, the difficulties that you faced during this project and how you overcame those difficulties. Contribution. In this section clearly state the contribution of each group member. Generic statements such as each group member contributed equally' are not acceptable answers. 9. 5 Each report element should be documented under a separate heading. Report must not exceed 12 A4 size pages including table of contents as well as a single title page with project title, student names, ids, section, and name of the course. 3 marks will be deducted for every extra page. Each page should be numbered. Project Submission Guidelines . . . This is a group project and carries 70 marks. A group can have maximum of 3 students. If a student wishes to work individually, they can submit individual project. Plagiarized work (from internet or fellow students) will result in zero marks. Deadline for complete project submission on google classroom (one MS Word file, one pdf of the same Word file and one program file) is 10th Dec 2021 latest by 11:59PM. Name of your project files must be as per following format: Section_ID1_ID2_ID3. (e.g. Y_123456_654321_987654) Deadline for complete project submission in hard copy is first lecture after the online submission date. Late submissions will not be considered. . . . 15 Marks will be deducted in case of missing hard copy of the project. Problem Statement You are newly hired in a soft drink making company. The company decided to introduce a new brand with the addition of mint in its existing flavor. The company also wants to introduce this new brand in some attractive tin pack in different quantity. They want to introduce 400ml and one liter tin packs for the promotion of their brand. For making these tin packs the cost of the top and bottom of a tin is 5/3 times the cost of the body/cylinder. The company assign you to suggest the dimensions of the required tin packs which also minimize the cost of production of the tin packs. Moreover, check whether there are more options or is only one option to construct the required tin packs to get optimize solution. Furthermore, the total budget for this new brand was assigned only $1 million. Therefore, also find how many tin packs of two sizes must be prepared to get the maximum profit if there is profit on each tin of 400ml is one dollar and $3 for each tin pack of one liter. Finally, use MATLAB to write a program which will provide you the optimal dimensions subject to the constraint of cost. The program will take dimensions of the tin packs as input and return the cost and quantity of each size. Program requirements 1. The program must come with a detailed instructions manual explaining each line of the program and steps required to successfully run the program. 2. On (every) first run, the program must display name of your programming team along with student ids. 3. At this stage, a message should be displayed to press any key to continue. 4. At this stage, the program must ask the user if they wish to run another query or terminate the program. Based on user input, program must act accordingly. Report Requirements Students are required to submit a complete report of their project in their own words, including: Sr. No. Deliverable Marks 1. Objectives and introduction of the problem. 5 2. A step-by-step by-hand solution. Clearly state the assumptions and values that you use for the solution. 15 3. 10 4. A well commented MATLAB code with line-by-line explanation. This part must include the explanation of the commands, functions, and toolboxes used. A step-by-step example demonstrating the MATLAB solution. Also provide an instruction's manual to run the MATLAB program to obtain the MATLAB solution demonstrated in the example. Detailed results section. Present results and graphs of your analytical and MATLAB solution in this section, compare and discuss your results including their physical interpretation. 10 5. 10 6. Flowchart of the solution methodology. 5 7. 3D figure. 5 8. 5 Conclusions. In this section include conclusions related to this project, summary of problem and results, the difficulties that you faced during this project and how you overcame those difficulties. Contribution. In this section clearly state the contribution of each group member. Generic statements such as each group member contributed equally' are not acceptable answers. 9. 5 Each report element should be documented under a separate heading. Report must not exceed 12 A4 size pages including table of contents as well as a single title page with project title, student names, ids, section, and name of the course. 3 marks will be deducted for every extra page. Each page should be numbered. Project Submission Guidelines . . . This is a group project and carries 70 marks. A group can have maximum of 3 students. If a student wishes to work individually, they can submit individual project. Plagiarized work (from internet or fellow students) will result in zero marks. Deadline for complete project submission on google classroom (one MS Word file, one pdf of the same Word file and one program file) is 10th Dec 2021 latest by 11:59PM. Name of your project files must be as per following format: Section_ID1_ID2_ID3. (e.g. Y_123456_654321_987654) Deadline for complete project submission in hard copy is first lecture after the online submission date. Late submissions will not be considered. . . . 15 Marks will be deducted in case of missing hard copy of the project