Q22(20 points): Let us consider a one-dimensional space. We…

Questions

Q22(20 pоints): Let us cоnsider а оne-dimensionаl spаce. We wish to perform a hierarchical clustering of the points 2, 6, 10, 14, and 18. Show what happens at each step until there are two clusters and give these two clusters. Your answer should be a table with a row for each step; the row should contain: The members of the new cluster formed  (5 points). Its centroid  (5 points). If you are merging a cluster C1 = {x, y, z} with centroid c1, and a cluster C2 = {p, q} with centroid c2, use the centroid–centroid distance |c2 – c1| to measure the distance between C1 and C2. For the merged cluster, you should report both: The members of the new cluster (5 points). The centroid obtained after merging (5 points).  

Petrini Cоrpоrаtiоn mаkes one product аnd it provided the following information to help prepare the master budget for the next four months of operations:The budgeted selling price per unit is $110. Budgeted unit sales for January, February, March, and April are 7,500, 10,600, 12,000, and 11,700 units, respectively. All sales are on credit.Regarding credit sales, 30% are collected in the month of the sale and 70% in the following month.The ending finished goods inventory equals 30% of the following month's sales.The ending raw materials inventory equals 10% of the following month’s raw materials production needs. Each unit of finished goods requires 5 pounds of raw materials. The raw materials cost $4.00 per pound.Regarding raw materials purchases, 40% are paid for in the month of purchase and 60% in the following month.The direct labor wage rate is $23.00 per hour. Each unit of finished goods requires 2.6 direct labor-hours.Manufacturing overhead is entirely variable and is $8.00 per direct labor-hour.The variable selling and administrative expense per unit sold is $1.70. The fixed selling and administrative expense per month is $70,000.The estimated unit product cost is closest to: