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C=1500+.6 (YD)

I=2400-10r

T=1800+.2t

G=2000

NX=-200

L=.2y -50r

M/P=1000

A. Compute the value of the multiplier. B. Compute the value of the autonomous planned spending. C. Write an equation representing the "IS" curve. D. Write an equation representing the "LM" curve. E. Find equilibrium interest rate and real GDP. F. Calculate the crowding effect of additional $500 government expenditures.



an examination was given to 50 students of college A and 60 students of collegs B . the mean grade was 75 with a standard deviation of 9 of college A while in college B the mean grade was 79 with a standard deviation of 7 . Is there a signeficant difference between the performance of both the colleges at the 5% level of significance


If apples and pears are substitutes in consumption, then a disease that affects apple trees will most likely _____


Summarise the inequalities in the South African labor market


Distinguish between differentiation, discrimination and unfair discrimination by giving examples from the situations in the classroom that would constitute differentiation, discrimination and unfair discrimination


Take one company applying information system in its business functions and answer whether the system is successful or not in terms of the IT Project Management Life Cycle


How can oligopoly cause market failure??
Why is price discrimination not possible under perfect market conditions?
Q1. A consumer has a utility function given by
ln U = 5 ln x + 3 ln y
if the budget constraint is given by
10x + 14y= 124, find
a. the optimal quantities of the two goods that the consumer should purchase in order to maximize utility, subject to the budget constraint.

b. the value of the consumer’s marginal utility of money at the optimum.

c. the marginal rate of substitution (MRS) of x for y and determine its direction at the optimum

Q2. Assume the logarithmic transformation of a utility function, for the consumption of two commodities is given by
ln U = ln4 + 0.5ln X + 0.25lnY

(a) if the price of X is $2.50 and that of Y is $4.00, calculate the optimal combination for an income of $50.00.

b) Determine and interpret the value of the Lagrange multiplier.
consumer has a utility function given by
ln U = 5 ln x1 + 3 ln x2
if the budget constraint is given by
10x1 + 14x2 = 124, find
i) the optimal quantities of the two goods that the consumer should purchase in order to maximise utility, subject to the budget constraint.
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