Determine whether each function is convex or concave

Assignment Help Business Economics
Reference no: EM131005986

Find the ?rst and second derivative of each function and determine whether each function is convex or concave. If it is both, ?nd the ranges for which it is convex and ranges for which it is concave:

(a) f(x) = x^2 − 3x + 12

(b) f(x) = 6x^(1/2) + 1 ; 0 < x < ∞

 

(c) f(x) = x^3 − 4x^2 + 4x – 4

Reference no: EM131005986

Questions Cloud

What would be the effect on the structural deficit : Some have argued in favor of reducing taxes on repatriated earnings that companies operating in the United States have made in other countries. Such a tax break could lead to a sharp increase in the amount of repatriated earnings and raise tax revenu..
Distributes unemployment checks to unemployed workers : You work for an unemployment agency that distributes unemployment checks to unemployed workers in California. Your boss recently learned that the Governorhas proposed a 21 percent increase in the state minimum wage, and wants you to provide her with ..
Create an annotated bibliography discussing important factor : Create an annotated bibliography discussing the important factors to consider when working with the following special populations: African Americans, Latino(a) and Arab and Muslim Americans
Determine whether each function is convex or concave : Find the ?rst and second derivative of each function and determine whether each function is convex or concave. If it is both, ?nd the ranges for which it is convex and ranges for which it is concave:
Problem about long term capital outstanding : A company has the following long term capital outstanding on 31 March 2009: (a) 10 per cent debentures with a face value of Rs 500000. The debentures were issued in 2002 and are due on 31 March 2009. The current market price of a debenture is Rs 9..
The demand for its products was elastic : Describe the macroeconomic factors that caused headwinds for McDonald's in 2012. Please include sources with your answer. Give examples of oligopolistic behavior among the rivals in the fast-food industry. Regarding the discussion of when McDonald's ..
Compare disparate treatment and disparate impact : Compare and contrast disparate treatment and disparate impact? What are the pros and cons associated with using internal sources of job candidates
Calculate the output quantity at which avc is minimized : Which coefficients (including the constant) are statistically significant at the 10% level or better? Which are not significant? How much of the variation in the dependent variable is explained by the estimated equation?

Reviews

Write a Review

Business Economics Questions & Answers

  Output level would be efficient

Illustrate what total amount of output will firm A produce in a competitive market. Which output level would be efficient.

  Calculate the firms profit

A perfectly competitive firm sells 50,000 units of knives at a price of $3. The firm's average cost at 50,000 units is $2.75. Calculate the firm's profit.

  Illustrate what is the bond''s current market price

Presently the bond is priced to yield a return of 5% per year. Illustrate what is the bond's current market price.

  Explain how much tax sally pays on her gain

If capital gains tax is on nominal gains, Explain how much tax Sally pays on her gain. Calculate Kelly's capital gains if tax is on real gains.

  How is elasticity related to revenue

How is elasticity related to revenue. How is diminishing marginal returns related to cost. How are revenues and costs related to profit.

  Amount of labour and capital used in each industry

Suppose that computers use two units of capital for each worker, so that KC = 2LC, while shoes use 0.5 units of capital for each worker, so that KS = 0.5LS. There are 100 workers and 100 units of capital in the economy. Solve for the amount of labour..

  Explain why firms make zero economic profits in economy

assuming economy is in a long run equilibrium, show fraction of total output earned by labour and fraction of total output earned by capital. Explain why, in long run, firms make zero economic profits in this economy.

  Employees bear the cost and earn the returns on investments

Employees bear the cost and earn the returns on investments in general training and employers bear the cost and earn the return on specific training. Is this statement true, false, or uncertain? Give an economic justification for your answer.

  Management of bank risk is crucial function of management

The management of bank risk is a crucial function of management. What are the most important risk management principles that involve approving loans? Why do Adverse Selection and Moral Hazards make the underwriting process more complicated?

  Determine whether to use no insulation or to use insulation

Parker County Community College (PCCC) is trying to determine whether to use no insulation or to use insulation that is either 1 inch thick or 2 inches thick on its steam pipes. The heat loss from the pipes without insulation is expected to cost $1.7..

  Which the court could find that owner is liable to shopper?

which the court could find that Owner is liable to Shopper?

  Under what circumstances are economic profits good indicator

Under what circumstances are economic profits a good indicator of market power? Explain why it is not possible to estimate the demand curve simply by fitting a line through annual observations on price and quantity.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd