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1) A 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.

ii) the value of the consumer’s marginal utility of money at the optimum

iii) the marginal rate of substitution (MRS) of x1 for x2 and determine its direction at the optimal


An increase in demand results in which of the following changes in the commodity’s equilibrium 

price and quantity?

A. Price rises and quantity falls.

B. Price falls and quantity rises.

C. Price and quantity both rise.

D. Price and quantity both fall.

Which one of the following is not related to GDP

A. It measures the current production only.

B. It measures the values of final goods and services produced within the country.

C. It includes gross private domestic investment in capital goods.

D. It takes into account final goods and services only.

MC curve and AC curve are the mirror reflections of

A. AVC and AFC.

B. AVC and TVC.

C. MP and AP.

D. TP and AP.


Explain whether or not you agree with the following statement: “A company has R500 million in a deposit account with a local bank. In terms of economic theory, this represents capital to the firm


us A numerical example to explain the difference between the rate of change and the level of change between two values. 


Consider the market for south African biltong. Assuming everything else remains unchanged , the equilibrium price of biltong will decrease if

let f(x) = (6x+3) and g(x)=(-2x+5)

*use chain rule to calculate h'(x) where h(x)=f(g(x)



How is quantitative research relevant to different discipline?
PQR Flour Mills Co. is an Omani Company made it’s beginning in the year 1977 with a capacity to mill 150 metric tons per day of wheat flour and allied products. The company gradually increased our flour milling capacity over the years and today has a capacity of 800 Metric Ton per day. In 1983 the company set up an animal feed mill having milling capacity of 300 Metric ton per day. Today the company has a capacity of 1500 Metric ton per day for Animal Feed. Their trading results for the year end
A security analyst specializing in the stocks of the motion picture industry wishes to examine the relation between the number of movie theater tickets sold in December and the annual level of earnings in the motion picture industry. Time-series data for the last 15 years are used to estimate the regression model

given that the quantity demanded for the particular good is 40 unit price per unit of P7, derive the demand equation assuming that when the selling price decreased to P5, the quantity demanded for this commodity increased to 60 units.


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