Suppose in the short run a firm’s production function is given by Q = L 1 2 K 1 2 and that K is fixed at K = 10. If the price of Labor, w = $15 per unit of Labor, what is the firm’s marginal cost of production when the firm is producing 50 units of output?

Barbara jones opened barb’s book business on february 1, 2010. the company specilizes in editing accounting textbooks. you have been hired as manager. your duties include maintaining the company’s financial records. the following transactions occurred in february , the first month of operations. a. received shareholders' cash contributions on february 1 totaling $16,000 to form the corporation; issued 1,000 shares of common stock. b. paid $2,400 cash on february 2 for three months' rent for office space. tip: for convenience, simply record the full amount of the payment as an asset (prepaid rent). at the end of the month, this account will be adjusted to its proper balance. c. purchased and received supplies on february 3 for $300 cash. d. signed a promissory note on february 4, payable in two years; deposited $10,000 in the company's bank account. e. on february 5, paid cash to buy equipment for $2,500 and land for $7,500. f. placed an advertisement in the local paper on february 6 for $425 cash. g. recorded sales on february 7 totaling $1,800; $1,525 was in cash and the rest on accounts receivable. h. collected accounts receivable of $50 from customers on february 8. i. on february 9, repaired one of the computers for $120 cash. tip: most repairs involve costs that do not provide additional future economic benefits. j. incurred and paid employee wages on february 28 of $420.required: set up appropriate t-accounts for cash, accounts receivable, supplies, prepaid rent, equipment, furniture and fixtures, notes payable, contributed capital, service revenue, advertising expense, wages expense, and repair expense. all accounts begin with zero balances.tip: when preparing the t-accounts, you might find it useful to group them by type: assets, liabilities, stockholders’ equity, revenues, and expenses.2. record in t-accounts the effects of each transaction in february, referencing each transaction in the accounts with the transaction letter. show the unadjusted ending balances in the t-accounts. 3. prepare an unadjusted trial balance at the end of february.4. refer to the revenues and expenses shown on the unadjusted trial balance. based on this information, write a short memo offering your opinion on the results of operations during the first month of business.

Suppose a firm faces a fixed price of output, 푝푝= 1200. the firm hires workers from a union at a daily wage, 푤푤, to produce output according to the production function 푞푞= 2퐸퐸12. there are 225 workers in the union. any union worker who does not work for this firm is guaranteed to find nonunion employment at a wage of $96 per day. a.what is the firm’s labor demand function? b.if the firm is allowed to choose 푤푤, but then the union decides how many workers to provide (up to 225) at that wage, what wage will the firm set? how many workers will the union provide? what is the firm’s output and profit? what is the total income of the 225 union workers? c.now suppose that the union sets the wage, but the firm decides how many workers to hire at that wage (up to 225). what wage will the union set to maximize the total income of all 225 workers? how many workers will the firm hire? what is the firm’s output and profit? what is the total income of the 225 union workers? [hint: to maximize total income of union, take the first order condition with respect to w and set equal to 0.]

Paid-in-capital in excess of par represents the amount of proceeds a. from the original sale of common stock b. in excess of the par value from the original sale of common stock c. at the current market value of the common stock d. at the curent book value of the common stock