Set up a system of equations and then solve using matrices. A manufacturer of portable tools...

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Set up a system of equations and then solve using matrices. A manufacturer of portable tools has three sets, Basic, Homeowner, and Pro, which must be painted, assembled, and packaged for shipping. The following table gives the number of hours required for each operation for each set. Painting Assembly Packaging Basic 1 0.8 0.5 Homeowner 1.7 1.5 0.8 Pro 2.5 1.8 2 If the manufacturer has 58.1 hours for painting per day, 48.5 hours for assembly per day, and 32.4 hours for packaging per day. How many sets of each type can be produced each day? The manufacturer can produce day. Basic sets, Homeowner sets and Pro sets per et A, B and C be matrix representations of three proteins' structures by the coordinates of the atoms in 2D projection. Each row gives the x and y coordinates of the atoms. These matrices are given as A = [0 0;1 3;5 6;-1 3], B = [0 0; -3 1;-6 5;-3 - 1], C = [0 0;2 0; 5 - 6;-10]. Your task is comparing these three structures (shapes) to determine their similarity level. Although there are multiple advanced similarity measures for this task, in this project you are supposed to use a very basic similarity function designed as the distance function. For that purpose, you set your similarity function between any two matrices X and Y as ; - Y|| - .(x(,) - Y(0,3))2 - (X(4,3) ) where X, represents the ith row of matrix X. So, basically you are getting the summation of distances between each atoms of the structures. Hence, the smaller the distance is, more similarity you will obtain between matrices. For example if you get 0 as the result, that means you are dealing with the exactly same matrices. Please calculate the similarity by using the formula for each couples as X-Y, Y-Z and X-Z. Give the similarity results. How do you interpret that similarity results? Do you think the similarity values are acceptable? For that please scatter the data points on coordinate space to visualize the structures. Is there any leak of this similarity measure method? How can you improve it? (Please answer questions only for the given task.) You may use the built-in matlab functions: scatter (...) for 2d data scatter plot Set up a system of equations and then solve using matrices. A manufacturer of portable tools has three sets, Basic, Homeowner, and Pro, which must be painted, assembled, and packaged for shipping. The following table gives the number of hours required for each operation for each set. Painting Assembly Packaging Basic 1 0.8 0.5 Homeowner 1.7 1.5 0.8 Pro 2.5 1.8 2 If the manufacturer has 58.1 hours for painting per day, 48.5 hours for assembly per day, and 32.4 hours for packaging per day. How many sets of each type can be produced each day? The manufacturer can produce day. Basic sets, Homeowner sets and Pro sets per et A, B and C be matrix representations of three proteins' structures by the coordinates of the atoms in 2D projection. Each row gives the x and y coordinates of the atoms. These matrices are given as A = [0 0;1 3;5 6;-1 3], B = [0 0; -3 1;-6 5;-3 - 1], C = [0 0;2 0; 5 - 6;-10]. Your task is comparing these three structures (shapes) to determine their similarity level. Although there are multiple advanced similarity measures for this task, in this project you are supposed to use a very basic similarity function designed as the distance function. For that purpose, you set your similarity function between any two matrices X and Y as ; - Y|| - .(x(,) - Y(0,3))2 - (X(4,3) ) where X, represents the ith row of matrix X. So, basically you are getting the summation of distances between each atoms of the structures. Hence, the smaller the distance is, more similarity you will obtain between matrices. For example if you get 0 as the result, that means you are dealing with the exactly same matrices. Please calculate the similarity by using the formula for each couples as X-Y, Y-Z and X-Z. Give the similarity results. How do you interpret that similarity results? Do you think the similarity values are acceptable? For that please scatter the data points on coordinate space to visualize the structures. Is there any leak of this similarity measure method? How can you improve it? (Please answer questions only for the given task.) You may use the built-in matlab functions: scatter (...) for 2d data scatter plot