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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.
The cumene process is used to convert benzene and propene in the presence of oxygen to phenol and acetone via the following reaction. C6H6 +C3H6+O2 ____> C6H5OH +C3H6O. This reaction is carried out in with excess benzene and excess oxygen to ensure t..
calculate the energy for vacancy formation in al given that the equilibrium number of vacancies at room temperature 25
A rubber-tired scraper with an efficiency of 50 min/hr has a heaped capacity of 20 cu yd. If it is to move material with a swell factor of 25%, what amount of in-bank material can it move in 1 hr, assuming it has a total cycle time of 5 min?
a cylinder whose mass moment of inertia i 12 kg.m2 is rotating at angular velocity of 500 rpm. a constant moment of m
a proportional control system with a kp of 5 ft-lbsdeg controls a robot arm that is two feet long. what steady state
Two tanks contain steam, and they are both connected to a piston/cylinder. Initially the piston is at the bottom and the mass of the piston is such that a pressure of 1.4 MPa below it will be able to lift it.
Water vapor enters a turbine at p1= 5 bar, T1=320? C and exits at p2 = 1 bar. The work generated is measure as 250 KJ per kg of water vapor flowing. Determine the isentropic turbine efficiency.
a calculate the percentage volume change for a material being transformed from fcc to bcc. remember to assume the
during a simple orienteering exercise a person walks 250 m south then 620 m at an angle of 30 north of east and finally
During operation the surface temperatures are known to be T1 = 25°C, T2 = 60°C, and T3 = 70°C. What is the net rate at which radiation is transferred to the cover due to exchange with the absorber plates?
a cantilever beam ab is loaded by a couple m0 at its free end see gure. the length of the beam is l 20m and the
a balloon behaves so the pressure is p c2v13 c2 100 kpam. the balloon is blown up with air from a starting volume of
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