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Consider an economy with I consumers and L goods, where, for all i, the endowment vector of consumer i is ei , and the utility function of each consumer i is of the form Iui(xi , ) xn), i=1 where xi is the consumption vector of the ith consumer. Assume that ui is increasing with respect to the components of xi.
(a) De?ne a notion of competitive equilibrium.
(b) Is an equilibrium necessarily Pareto optimal? Give an argument.
Fluid is moving between two plates the top plate is moving with a velocity V, the distance between the plates is h, and the flow is completely horizontal; select the appropriate boundary condition of the viscous flow.
Compute the average density of a solid solution which contains 10 kg of gold, Ag, and 90 kg of silver, Au. The density of pure gold is 19.32 g/cm3 and the density of pure silver is 10.49 g/cm3
air enters an insulated turbine operating at a steady state at 5 bar 1000k and exits at 1 bar 500k. neglecting ke and
the entire assembly is placed in an environment whose temperature is 200c. determine the volume of chamber 1 when thermodynamic equillibrium has been estabilished.
a container is supported by three cables that are attached to a ceiling as shown. determine the weight w of the
a gas refrigeration system using air as the working fluid has a pressure ratio of 5. air enters the compressor at 0
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a piston-cylinder contains 0.1kg of superheated steam at 180 degrees celsius and 5 bars. the pison is frictionless and
Outdoor design conditions: modeling of weather conditions (temperature, wind speed, solar radiation) and convective heat transfer coefficient. Methods of using solar energy to air-conditiong
water with a pressure of 800 kpa and a quality of 0.334 undergoes a constant pressure expansion process to four times
a polymer component that needs to maintain a stress level above 10 mpa for proper functioning of an assembly is
a turbine produces 2 mw of power while accepting steam at 3 mpa and 400 c and rejecting steam at 50 kpa and 100c. find
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