A hat manufacturing firm has the following production function with capital and labor being the inputs: Q = min(5L,3K) (it has a fixed-proportions production function). a) If w is the cost of a unit of labor and r is the cost of a unit of capital, derive the firm’s optimal inputs, long-run total cost curve, average cost curve, and marginal cost curve in terms of the input prices and Q.
b) A firm has the linear production function Q = 2L + 7K. Derive the expression for the optimal inputs and the 1ong-run total cost that the firm incurs, as a function of Q and the factor prices, w and r

Issued to the joint planning and execution community (jpec) initiates the development of coas; it also requests that the supported ccdr submit a commander's estimate of the situation with a recommended coa to resolve the situation (joint force command and staff participation in the joint operation planning and execution system, page 10)

Jamie is saving for a trip to europe. she has an existing savings account that earns 3 percent annual interest and has a current balance of $4,200. jamie doesn’t want to use her current savings for vacation, so she decides to borrow the $1,600 she needs for travel expenses. she will repay the loan in exactly one year. the annual interest rate is 6 percent. a. if jamie were to withdraw the $1,600 from her savings account to finance the trip, how much interest would she forgo? .b. if jamie borrows the $1,600 how much will she pay in interest? c. how much does the trip cost her if she borrows rather than dip into her savings?

Select the correct answer. martha is a healer, a healthcare provider, and an experienced nurse. she wants to share her daily experiences, as well as her 12 years of work knowledge, with people who may be interested in health and healing. which mode of internet communication can martha use? a. wiki b. email c. message board d. chat e. blog