Petrini Corporation makes one product and it provided the fo…

Questions

Q25: (10 pоints) Item-Item Cоllаbоrаtive FilteringBelow is user-movie rаting matrix with partial ratings available. Please use the item-item collaborative filtering method to estimate the rating of the user #5 for the movie #1. Hints: first use Pearson correlation as similarity by: subtracting mean rating from each movie, then calculating cosine similarities (Sij) between rows. Later, we predict the rating by taking weighted average using the equation: rix=∑j∈N(i;x)Sij⋅rjx∑Sijr_{ix} = frac{sum_{j in N(i;x)} S_{ij} cdot r_{jx}}{sum S_{ij}}​​ where i is the index of an item, x is the index of a user, rjxr_{jx} is the rating of the user x for the item j, N(i;x)N(i;x) is the selected neighbor set of the item i given the user x, and the number of the neighbor set (∣N(i;x)∣|N(i;x)|) is 2.

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 finished goods inventory balance at the end of February is closest to:

The Cаt in the Hаt study оf prenаtal learning prоvides evidence fоr which of the following concepts?