Suppose that a firm’s production function is given by Q = ( K1/3 + L1/3 ) a , here α is a given parameter.(a) Find the marginal product of capital and labor.(b) Find the average product of capital and labor.(c) Does this production function have increasing, constant or decreasing re- turns to scale? Explain.(d) Find the marginal rate of technical substitution (RTS)(e) Use your result in (d) to find the elasticity of substitution.(f) Suppose a = 3. Set up the cost minimization problem of the firm and solve for the conditional demand for K and L

Match the steps for conducting an informational interview with the tasks in each step.

At a student café, there are equal numbers of two types of customers with the following values. the café owner cannot distinguish between the two types of students because many students without early classes arrive early anyway (i. e., she cannot price-discriminate). students with early classes students without early classes coffee 70 60 banana 51 101 the marginal cost of coffee is 10 and the marginal cost of a banana is 40. the café owner is considering three pricing strategies: 1. mixed bundling: price bundle of coffee and a banana for 161, or just a coffee for 70. 2. price separately: offer coffee at 60, price a banana at 101. 3. bundle only: coffee and a banana for 121. do not offer goods separately. assume that if the price of an item or bundle is no more than exactly equal to a student's willingness to pay, then the student will purchase the item or bundle. for simplicity, assume there is just one student with an early class, and one student without an early class. price strategy revenue from pricing strategy cost from pricing strategy profit from pricing strategy 1. mixed bundling $ $ $ 2. price separately $ $ $ 3. bundle only $ $ $ pricing strategy yields the highest profit for the café owner.

Which of the following statements is true regarding the reporting of outside interests and the management of conflicts? investigators are responsible for developing their own management plans for significant financial interests. the institution must report identified financial conflicts of interest to the u. s. office of research integrity. investigators must disclose their significant financial interests related to their institutional responsibilities and not just those related to a particular project. investigators must disclose all of their financial interests regardless of whether they are related to a research project.