Consider the following strategy playing the roulette. Bet $1 on red. If red appears (which happens with probability 18/38), then take $1 and stop playing for the day. If red does not appear, then bet additional $1 on red each of the following two rounds, and then stop playing for the day no matter the outcome. Let X be the net gain (a negative gain means a loss). (a) Find the probability mass function of X; (b) Compute P. X > 0/: Is this a good strategy

Thomas kratzer is the purchasing manager for the headquarters of a large insurance company chain with a central inventory operation. thomas's fastest-moving inventory item has a demand of 6,000 units per year. the cost of each unit is $100, and the inventory carrying cost is $10 per unit per year. the average ordering cost is $30 per order. it takes about 5 days for an order to arrive, and the demand for 1 week is 120 units. (this is a corporate operation, and the are 250 working days per year.)a) what is the eoq? b) what is the average inventory if the eoq is used? c) what is the optimal number of orders per year? d) what is the optimal number of days in between any two orders? e) what is the annual cost of ordering and holding inventory? f) what is the total annual inventory cost, including cost of the 6,000 units?

Which of the following would not generally be a motive for a firm to hold inventories? a. to decouple or separate parts of the production process b. to provide a stock of goods that will provide a selection for customers c. to take advantage of quantity discounts d. to minimize holding costs e. all of the above are functions of inventory.

On january 1, 2017, pharoah company issued 10-year, $2,020,000 face value, 6% bonds, at par. each $1,000 bond is convertible into 16 shares of pharoah common stock. pharoah’s net income in 2017 was $317,000, and its tax rate was 40%. the company had 97,000 shares of common stock outstanding throughout 2017. none of the bonds were converted in 2017. (a) compute diluted earnings per share for 2017. (round answer to 2 decimal places, e.g. $2.55.) diluted earnings per share