Given a Cobb-Douglas production function where α = β = 0.5 Q = (K0.5) x (L0.5) Find the equation for the isoquant when Q= 2,000A) L =[2,000/ K 0.5]2B) K=[L2/2000] 0.5 C) K=[2,000/L2]0.5 D) K=[ 2,000/L0.5]2) The marginal rate of technical substitution can be written as the ratio of the marginal productivities of the two inputs: MRTS= - MPL / MPK= -[αq/L] /[ βq/K] Find the marginal rate of technical substitution when Q= 2,000 and L =100 MRTS =.

Laval produces lamps and home lighting fixtures. its most popular product is a brushed aluminum desk lamp. this lamp is made from components shaped in the fabricating department and assembled in the assembly department. information related to the 22,000 desk lamps produced annually follows. direct materials $280,000direct labor fabricating department (8,000 dlh × $24 per dlh) $192,000assembly department (16,600 dlh × $26 per dlh) $431,600machine hours fabricating department $15,200mhassembly department $20,850mhexpected overhead cost and related data for the two production departments follow. fabricating assemblydirect labor hours 150,000dlh 295,000dlhmachine hours 161,000mh 128,000mhoverhead cost $400,000 430,000required1. determine the plantwide overhead rate for laval using direct labor hours as a base.2. determine the total manufacturing cost per unit for the aluminum desk lamp using the plantwide overhead rate.3. compute departmental overhead rates based on machine hours in the fabricating department and direct labor hours in the assembly department.4. use departmental overhead rates from requirement 3 to determine the total manufacturing cost per unit for the aluminum desk lamps.

Joe pays ann to mow his lawn and ann mows vanna's lawn by mistake. vanna peers out her window and sees ann mowing, yet says nothing to ann about her mistake since vanna needs to have her lawn mowed. when ann approaches vanna for payment, vanna refuses, arguing that she never asked ann to mow her lawn. under these circumstances, ann can recover payment from vanna under:

You are given the following information about aggregate demand at the existing price level for an economy: (1) consumption = $400 billion, (2) investment = $40 billion, (3) government purchases = $90 billion, and (4) net export = $25 billion. if the full-employment level of gdp for this economy is $600 billion, then what combination of actions would be most consistent with closing the gdp gap here?