What is the ( long-run ) optimal choice of L and K for a given Q, w, and r? In other words, provide a formula for the optimal choice of labor L∗(w, r,Q) and capital K∗(w, r,Q) as a function of the parameters Q, w, and r.

The amberssen specialty company is a chain of twelve retail stores that sell a variety of imported gift items, gourmet chocolates, cheeses, and wines in the toronto area. amberssen has an is staff of three people who have created a simple but effective information system of networked point-of-sale registers at the stores and a centralized accounting system at the company head- quarters. harry hilman, the head of amberssens is group, has just received the following memo from bill amberssen, sales director (and son of amberssen’s founder). harry—it’s time amberssen specialty launched itself on the internet. many of our competitors are already there, selling to customers without the expense of a retail storefront, and we should be there too. i project that we could double or triple our annual revenues by selling our products on the internet. i’d like to have this ready by - giving, in time for the prime holiday gift-shopping season. bill after pondering this memo for several days, harry scheduled a meeting with bill so that he could clarify bill’s vision of this venture. using the standard con- tent of a system request as your guide, prepare a list of questions that harry needs to have answered about this project.

The starr theater, owned by meg vargo, will begin operations in march. the starr will be unique in that it will show only triple features of sequential theme movies. as of march 1, the ledger of starr showed: cash $3,150, land $22,000, buildings (concession stand, projection room, ticket booth, and screen) $10,000, equipment $10,000, accounts payable $7,300, and owner’s capital $37,850. during the month of march, the following events and transactions occurred.mar. 2 rented the three indiana jones movies to be shown for the first 3 weeks of march. the film rental was $3,600; $1,600 was paid in cash and $2,000 will be paid on march 10.3 ordered the lord of the rings movies to be shown the last 10 days of march. it will cost $200 per night.9 received $4,500 cash from admissions.10 paid balance due on indiana jones movies rental and $2,200 on march 1 accounts payable.11 starr theater contracted with adam ladd to operate the concession stand. ladd is to pay 15% of gross concession receipts, payable monthly, for the rental of the concession stand.12 paid advertising expenses $900.20 received $5,100 cash from customers for admissions.20 received the lord of the rings movies and paid the rental fee of $2,000.31 paid salaries of $2,900.31 received statement from adam ladd showing gross receipts from concessions of $6,000 and the balance due to starr theater of $900 ($6,000 × 15%) for march. ladd paid one-half the balance due and will remit the remainder on april 5.31 received $9,200 cash from customers for admissions.1.) enter the beginning balances in the ledger.2.) journalize the march transactions. starr records admission revenue as service revenue, rental of the concession stand as rent revenue, and film rental expense as rent expense. (credit account titles are automatically indented when the amount is entered. do not indent manually. record journal entries in the order presented in the problem. if no entry is required, select "no entry" for the account titles and enter 0 for the amounts.)3.) post the march journal entries to the ledger. (post entries in the order of journal entries presented in the previous question.)

Q3. loral corporation manufactures parts for an aircraft company. it uses a computerized numerical controlled (cnc) machining center to produce a specific part that has a design (nominal) target of 1.275 inches with tolerances of ± 0.020 inch. the cnc process that manufactures these parts has a mean of 1.285 inches and a standard deviation of 0.005 inch. compute the process capability ratio and process capability index, and comment on the overall capability of the process to meet the design specifications.