complete worksheet by computing answers and responding to questions in full

A study followed 900,000 US adults from 1992 to 2008. At baseline, all participants were screened and determined to be cancer free and their body mass index (BMI) was calculated. Body mass index is a measure of obesity that is calculated using a person’s height and weight. Subjects were separated into the following groups according to their BMI: (a) normal weight, (b) slightly overweight, (c) moderately overweight and (d) greatly overweight. 57,145 deaths from cancer occurred in the population during the follow-up period. . The following results were seen for men and women when the heaviest members of the cohort (greatly overweight) were compared to those with normal weight:Men: Risk ratio of cancer death = 1.5, 95% confidence interval = 1.1–2.1Women: Risk ratio of cancer death = 1.6, 95% confidence interval = 1.4–1.9State in words your interpretation of the risk ratio given for the men.State in words your interpretation of the risk ratio given for the women.Are these results confounded by gender?The authors stated that they controlled for confounding many risk factors using a multivariate analysis. State an alternative method that the authors could have used to control for confounding in the design or analysis. In addition, name two confounding variables that you think should be controlled using this method.

The inventory manager of Maximart Sales wants to establish optimum ordering policies. Weekly demand for a particular item follows a normal distribution with a mean of 300 units and a standard deviation of 70 units. The supplier will sell Maximart up to 999 units in an order at a price of $100/unit. If Maximart orders between 1000 and 3999 units per order, they can get the product for $95/unit. If Maximart is willing to order 4000 or more units with each order, they can get the product at $90/unit. Maximart sells the item for $200 per unit. It costs Maximart $125 to place an order, and $0.60 to hold a unit of inventory from one week to the next. The lead time between placing an order and receiving it, inspected and ready for sale, is two weeks. When demand cannot be satisfied from stock, some customers are willing to accept back order, and wait another week or two for delivery. Other customers will not wait. The percentage of customers who are willing to accept a backorder varies uniformly between 10% and 50%. Maximart estimates that they will lose $60 in future profit from each lost sale. The current inventory policy is an order quantity of 4000 units, to take advantage of the quantity discounts. Further, the inventory manager has also set the reorder point at the average weekly demand, 300 units. An order will be placed in any week for which the ending inventory is less than the reorder point, provided that there is not already an outstanding order from the previous week. a.Simulate 40 weeks of operation. Assume that the inventory at the beginning of week 1 is 1000 units. Provide a breakdown of the average net profit and the average weekly costs for ordering, holding, lost future profits, and average total weekly costs. b.Repeat part a. with an order quantity of 1000 units and a reorder point of 700 units. c.Using the results from part a. and b. investigate a couple other combinations of reorder point and order quantity, in an attempt to determine the combination of the two that will lead to the greatest profit. Report your recommendations.