Question:

Microsoft medical is a medical center in Seattle Washington it helps provide care to Seattle.

Microsoft medical is struggling to contain costs and wishes to start with a study of ordering costs for hypodermic syringes.

Microsoft uses 150,000 syringes per year at a daily rate close enough to being constant to be treated as such.

It costs Microsoft $300 to place an order for syringes, process payments, and stock items when delivered.

It costs Microsoft ten cents per syringe per year to hold them in inventory.

Last, it takes Microsoft's supplier ten days to deliver syringes from the time an order is placed.

Using the figures above, calculate and report on the following items:

Optimal quantity to order with each order

How many orders to place per year

The reorder point (when inventory is lower to where an order needs to placed)

The total annual cost of ordering and maintaining the syringes. Not including the purchase price of syringes, Report solely on the cost of inventory management.

4. Examine the smoothed histogram below. Based on your knowledge of the Empirical Rule, estimate what pereentage of the data fall within 1 standard deviation of the mean. Now, estimate what percentage of the data fall within two standard deviations of the mean. (4 pts) 6-5-4 3-2 In Exercises 3 8, find the limit of each function (a) as x - co and (b) as x - -co. (You may wish to visualize your answer with a graphing calculator or computer.) 3. f6)- 4. f T = 1 1 5. g() 6. 2(x) 2 + (1/ 1) 8 - (5/1 ) 5 1 (7/1) 8. h(x) 1+ ( V2 / 2 ) Find the limits in Exercises 9 12 9. lim sin 2x COS B 10. lim 30 11, lim 2 - 1+ sint 12. lim F + sIn F 1 I COST 2r | 7 5 sinr Limits of Rational Functions In Exercises 13-22. find the limit of each rational function (a) as x-+ cxi and (b) as : > oxx 2 + 3 2x + 7 13. [(x) 5x + 7 14. 560) 3 2 12 +7 15. () = + 1 16. ((0) = 32(a) Let X1, X2 and X's be three independent random variables with variances of 2,4, and 5, respectively. Find Var(2X1 - 4X2 + X3). (b) The cumulative distribution function F(r) of a discrete random variable X is given by F(0) = .30, F(1) = .70, F(2) = .90 and F(3) = 1.0. Find P[X = 1). (c) A continuous random variable X is uniformly distributed over the interval (12, 18). What is the variance of X - 15? (d) Let X1, ..., X10o denote the actual net weights of 100 randomly selected 40-1b bags of fertilizer. If the expected weight of each bag is 40 and the variance is 1, calculate P(39.8 195. 0 ) = 2 Z = 195 - 205.5. - 10.5 - 1.22 B. 6 8.6 2=-1.22 P ( Z > . 1. 22) = 0. 3889 +0. 5 = 0.8888 (b) If 25 adult females are randomly selected, find the probability that they have a mean overhead reach distance is greater than 203.0. Sample center Limit $265 D /