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7. Given Demand fn. Q = 100 – 0.2P (Or P = 500 – 5Q), Cost fn. TC = 50 + 20Q + Q2

A. Find the profit maximizing price and output of a perfectly competitive market,
B. Assuming, a firm is monopoly
C. Compare the results
Question 3
As a group/individual choose a familiar product. Explore the demand for your product.
3 What is your product? (2)
________________________________________

Draw graphs of your product for each scenario accompanied by an explanation:
a) A substitute for your product
Insert graph here


b) A complement for your product
Insert graph here


c) An inferior good in comparison to your product
Insert graph here


d) A change in price for your product (8)
Insert graph here

Consider the following production function.

TPL = 12L2 – 0.8L3

Determine the marginal product function(MPL)

Determine the average product function (APL)

Find the value of L that maximizes TPL

Find the value of L that maximizes APL

Find the value of L that maximizes MPL


how much more or less will a passenger pay if she travels five times in April if demand 6400 and price is 18 and 3 times in july if demand is 2000 and price 40?


The price falls from $10.00 to $9.50, and the quantity demanded rises from 100 units to 110 units. What does total revenue equal at the lower price


A sports collector is considering the purchase of either a jersey or a baseball that was struck for a home run. If the collector chooses to purchase the jersey, what is the opportunity cost


The law of supply states that as price increases, ceteris paribus, _____.(1 point)

  • supply decreases
  • supply decreases
  • supply increases
  • supply increases
  • quantity supplied increases
  • quantity supplied increases
  • quantity supplied decreases
  • quantity supplied decreases

Show that the test-taking the overall significance of regression model using ANOVA table to be expressed as:

𝑭=𝑹𝟐/𝒌−𝟏⁄(𝟏−𝑹𝟐)/𝒏−𝒌

Where R be a level of determination and k is the number of parameters in the n sampled regression model.


Suppose the production(Y) is determined as a function of labor input in hours (L) and capital input in machine hours (K). Using the Cobb-Douglas function:

Y= β0 + β1K β1 + ek

Write the procedure to estimate the coefficients of this function.


Consider a k-variables linear regression model, i.e.,

Y = X 1β1 + X 2 β2 + ε,

Where, X1 is (N . k1 ) , X 2 is (N . k2 ) and k = k1 + k2 . As you may recall, adding columns to

the X matrix (including additional regressors in the model) gives a positive definite increase in R2.

The adjusted R2 attempts to avoid this phenomenon of ever-increasing R2. Show that the

additional k2 number of variables (regressors) in this model increases R2 if the calculated F-statistic in testing the joint statistical significance of coefficients of these additional

regressors (β2 ) are larger than one.


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