You are shown a coin that its owner says is fair in the sense that it will produce the same number of heads and tails

Acompany manufactures hair dryers. it buys some of the components, but it makes the heating element, which it can produce at the rate of 920 per day. hair dryers are assembled daily, 250 days a year, at a rate of 360 per day. because of the disparity between the production and usage rates, the heating elements are periodically produced in batches of 2,300 units. a. approximately how many batches of heating elements are produced annually? b. if production on a batch begins when there is no inventory of heating elements on hand, how much inventory will be on hand 4 days later? c. what is the average inventory of elements, assuming each production cycle begins when there are none on hand?

Onsider the following subscription behavior information from genie, a web site that provides tools for constructing a family tree (ancestor search). subscriptions cost $9.99 per month, but you are charged for the entire year at the time of purchase. there is a one-year minimum term when you sign up for the service. once purchased, subscriptions are set to renew automatically unless the subscriber cancels them. when a membership renews, it renews for a one-year term and again you are charged for the entire year. there are no variable costs associated with providing this service to an individual customer, but genie does engage in customer relationship activities that they believe will increase customer retention. these customer relationship activities cost genie about $10 per year per customer. based on a sample of 1000 customers that joined genie five years ago, near the time when the company was founded, they were able to determine how many of those customers remained subscribers in the second year, third year etc. based on this information, genie calculated the average annual retention rate to be 20%. genie uses an annual discount rate of 8%. a. last year, genie spent $10,000 placing advertisements on google. genie management believes that these advertisements were responsible for about 300 new subscribers. would you recommend to genie management that they purchase more google ads? b. suppose a newly-introduced loyalty program increases the number of customers that remained to 30%. does this new data change your answer to 9.a? c. do you have any hesitations or concerns about making recommendations to management based on your above estimate of customer lifetime value?

An electronics store is running a promotion where for every video game purchased, the customer receives a coupon upon checkout to purchase a second game at a 50% discount. the coupons expire in one year. the store normally recognized a gross profit margin of 40% of the selling price on video games. how would the store account for a purchase using the discount coupon?