A firm has production function y = f(x1, x2) = x 1^1/3 x 2 ^2/3 , where y is the amount of output, x1, x2 are the amount of input 1 and 2 respectively. (a) Suppose the firms chooses to produce with inputs x1^0 , x2^0 . Calculate the marginal product with respect to input 1 and input 2. (Express them in terms of x1^0 , x2^0 .)
(b) What’s the firm’s technical rate of substitution given input level x1^0 , x2^0 ?
(c) Suppose the prices for input 1 and input 2 are are respectively w1 = 8, w2 = 2. The market price for the output is p = 50. In order to produce a fixed level of output y 0 = 8, what’s the optimal amount of each input that the firm chooses to use for production?

During the first month of operations, martinson services, inc., completed the following transactions: jan 2 martinson services received $65,000 cash and issued common stock to the stockholders. 3 purchased supplies, $1,000, and equipment, $12,000, on account. 4 performed services for a customer and received cash, $5,500. 7 paid cash to acquire land, $39,000. 11 performed services for a customer and billed the customer, $4,100. martinson expects to collect within one month 16 paid for the equipment purchased january 3 on account. 17 paid for newspaper advertising, $600. 18 received partial payment from customer on account, $2,000. 22 paid the water and electricity bills, $430. 29 received $2,600 cash for servicing the heating unit of a customer. 31 paid employee salary, $2,900. 31 declared and paid dividends of $1,800. requirements 1. record each transaction in the journal. key each transaction by date. explanations are not required. 2. post the transactions to the t-accounts, using transaction dates as posting references. label the ending balance of each account bal, as shown in the chapter. 3. prepare the trial balance of martinson services, inc., at january 31 of the current year. 4. mark martinson, the manager, asks you how much in total resources the business has to work with, how much it owes, and whether january was profitable (and by how much)?

Which of the following best describes why you need to establish goals for your program?

Zeta corporation is a manufacturer of sports caps, which require soft fabric. the standards for each cap allow 2.00 yards of soft fabric, at a cost of $2.00 per yard. during the month of january, the company purchased 25,000 yards of soft fabric at $2.10 per yard, to produce 12,000 caps. what is zeta corporation's materials price variance for the month of january?