Suppose that a firm uses both labor (L) and capital (k) as inputs and has the long-run production function Q = F(L, K) = L LK×+. If its capital is fixed at K = 10 in the short run, what is its short-run production function? How much does it produce in the short run (using efficient production methods) if it hires one worker? Two workers? Three workers?

Which stage of group development involves members introducing themselves to each other?

Tri fecta, a partnership, had revenues of $369,000 in its first year of operations. the partnership has not collected on $45,000 of its sales and still owes $39,500 on $155,000 of merchandise it purchased. there was no inventory on hand at the end of the year. the partnership paid $27,000 in salaries. the partners invested $48,000 in the business and $23,000 was borrowed on a five-year note. the partnership paid $2,070 in interest that was the amount owed for the year and paid $9,500 for a two-year insurance policy on the first day of business. compute net income for the first year for tri fecta.

Afirm plans to begin production of a new small appliance. the manager must decide whether to purchase the motors for the appliance from a vendor at $10 each or to produce them in-house. either of two processes could be used for in-house production; process a would have an annual fixed cost of $200,000 and a variable cost of $7 per unit, and process b would have an annual fixed cost of $175,000 and a variable cost of $8 per unit. determine the range of annual volume for which each of the alternatives would be best. (round your first answer to the nearest whole number. include the indifference value itself in this answer.)