(7 points)
4. Suppose a store’s towel inventory is managed with a periodic review system and the vendor visits every week (reorder period = 7 days) to check the inventory and make an order. Once the order is placed, the lead time is three days. Suppose that over the reorder period plus lead time the demand for a popular item averages 80 with a standard deviation of 10. If a service level of 99% is desired and 30 units are on hand, then how many of the popular item should be ordered?

Number to order =

Transactions on april 1 of the current year, andrea byrd established a business to manage rental property. she completed the following transactions during april: opened a business bank account with a deposit of $45,000 from personal funds. purchased office supplies on account, $2,000. received cash from fees earned for managing rental property, $8,500. paid rent on office and equipment for the month, $5,000. paid creditors on account, $1,375. billed customers for fees earned for managing rental property, $11,250. paid automobile expenses for month, $840, and miscellaneous expenses, $900. paid office salaries, $3,600. determined that the cost of supplies on hand was $550; therefore, the cost of supplies used was $1,450. withdrew cash for personal use, $2,000. required: 1. indicate the effect of each transaction and the balances after each transaction: for those boxes in which no entry is required, leave the box blank. for those boxes in which you must enter subtractive or negative numbers use a minus sign. (example: -300)

Which of the following would create the most money? the initial deposit is $6,500 and the required reserve ratio is 20 percent. the initial deposit is $3,000 and the required reserve ratio is 10 percent. the initial deposit is $7,500 and the required reserve ratio is 25 percent. the initial deposit is $4,500 and the required reserve ratio is 15 percent.

David consumes two things: gasoline (g) and bread (b). david's utility function is u(g, b) = 10g^0.25 b^0.75. use the lagrange technique to solve for david's optimal choices of gasoline and bread as a function of the price of gasoline, p_g, the price of bread, p_b, and his income m. with recent decrease in the price of gasoline (maybe due to external shock such as shale gas production) does david increase his consumption of gasoline? for david, how does partial differential g/partial differential p_g depend on his income m? that is, how does david's change in gasoline consumption due to an increase in the price of gasoline depend on his income level? to answer these questions, find the cross-partial derivative, |partial differential^2 g/partial differential m partial differential p_g.