A product is ordered once each year, and the reorder point without safety stock (dL) is 100 units. Inventory carrying cost is $10 per unit per year, and the cost of a stockout is $50 per year. Given the following demand probabilities during the reorder period, how much safety stock should be carried? DEMAND DURING REORDER PERIOD 0 .1 50 .2 PROBABILITY A 100 .4 ROP 150 .2 200 .1

A community youth group is having a raffle to raise funds. Several community businesses have donated prizes. The prizes and their retail values are listed in the table below. Each prize will be given away, regardless of the number of raffle tickets sold. Tickets are sold for $19 each. Determine the expected value of a ticket, and discuss whether it would be to your financial advantage to buy a ticket under the given circumstances. (Enter your answers to two decimal places.) Prize Retail Value Number of ThesePrizes to BeGiven Away new car $21,510 1 a cell phone and a one-year subscription $970 1 a one-year subscriptionto an Internet serviceprovider $600 2 dinner for two ata local restaurant $130 2 a one-year subscriptionto the local newspaper $180 20 (a) 1000 tickets are sold.$ Should you buy a ticket? Yes/No     (b) 2000 tickets are sold.$ Should you buy a ticket? Yes/No     (c) 3000 tickets are sold.$ Should you buy a ticket? Yes/No

The principle of redundancy is used when system reliability is improved through redundant or backup components. Assume that a student's alarm clock has a 14.9% daily failure rate. Complete parts (a) through (d) below. a. What is the probability that the student's alarm clock will not work on the morning of an important final exam? (Round to three decimal places as needed.)

A food truck near the University of Windsor specializes in healthy sandwiches. The sandwiches are prepared fresh each morning and any unsold sandwiches are donated to a food bank. Each sandwich costs $6 to make and sells for $10. The daily number of sandwiches sold, x, has the following distribution: (shown in image) a. Fill in the missing probability in the table above b. What is the expected daily profit? (hint: find the mean of x and multiply it by profit per sandwich) c. Find the mean, variance and standard deviation of the number of daily number of sandwiches sold. d. What is P(x  2| x < 4)?

Determine whether the following are valid probability models or not. Type "VALID" if it is valid, or type "INVALID" if it is not.