In the short run, we assume that capital is a fixed input and labor is a variable input, so the firm can increase output only by increasing the amount of labor it uses. In the short-run, the firm's production function is q = f (L, K), where q is output, L is workers, and K is the fixed number of units of capital.
A specific equation for the production function is given by:

q= 8KL + 5L² - (1/3)L³
or, when K = 27,
q= (8x 27xL) + 5L² - (1/3)L³.

Required:
1) The level of output q for 6 units of labor input is . (enter your response rounded up to two decimal places).
2) The average productivity of these 6 units of labor is .(enter your response rounded up to two decimal places)
3) The marginal productivity of using one more unit of labor input is . (enter your response rounded up o two decimal places).
4) Given the relationship between the average productivity and the marginal productivity, the average productivity of labor is .

Match the vocabulary word to the correct definition. 1. human resources department 2. job description 3. ethics 4. labor relations 5. occupational safety & health administration a. a detailed list of the functions and requirements for a position b. the exchange between the employer and employee c. principles that define appropriate conduct d. the government agency responsible for monitoring safety in the workplace e. the division of a business responsible for hiring, managing,maintaining, and firing the workforce

In the fall, jay thompson decided to live in a university dormitory. he signed a dorm contract under which he was obligated to pay the room rent for the full college year. one clause stated that if he moved out during the year, he could sell his dorm contract to another student who would move into the dormitory as his replacement. the dorm cost was $5000 for the two semesters, which jay had already paid a month after he moved into the dorm, he decided he would prefer to live in an apartment. that week, after some searching for a replacement to fulfill his dorm contract, jay had two offers. one student offered to move in immediately and to pay jay $300 per month for the eight remaining months of the school year. a second student offered to move in the second semester and pay $2500 to jay. jay estimates his food cost per month is $500 if he lives in the dorm and $450 if he lives in an apartment with three other students. his share of the apartment rent and utilities will be $404 per month. assume each semester is 4.5 months long. disregard the small differences in the timing of the disbursements or receipts. what is the cost of the cheapest alternative?

Emily spent her summer vacation in buenos aires, argentina, where she got plastic surgery for a fraction of what it would cost in the united states. this is an example of: