f is concave if and only if -f is convex.

Question:

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Foundations of Mathematical Economics

ISBN: 978-0262531924

1st edition

Authors: Michael Carter

See More Books

Question Posted: May 02, 2016 11:41 AM

See More Questions

A function f: S is concave if and only if hypo f is convex.
If f F(S) is strictly positive definite, quasi concave, and homogeneous of degree one, then f is concave.
Prove that a function f is both convex and concave on f if and only if there exist m, b R such that f(x) = mx + b for x I.
Question 3: Assume that Narine Inc. is considering leasing a car from Proctor Inc. for a period of four years. The fair value of the car today is $36,000. The current market interest rate for...
Following are the average yields of long-term new corporate bonds over a several-month period published by the Office of Market Finance of the U.S. Department of the Treasury. a. Explore trends in...
What do Betty Crocker, Pillsbury, Cheerios, and Hamburger Helper have in common? They are all familiar brands that are part of the General Mills product mix. Visit the General Mills Web site...
Why does the payroll tax have the same impact on wages and employment regardless of whether it is imposed on workers or on firms?
St. George Inc. reported $711,800 net income before tax on this years financial statement prepared in accordance with GAAP. The corporations records reveal the following information: Four years ago,...
Activity-based costing (ABC) is not just a cost collection mechanism, but rather more of an inventory valuation method. The main purpose for implementing an activity-based cost system is to try to...
For this exercise, your client, Bright IDEAs Inc., has provided you with data for two related files, a listing of sales invoices, and a listing of customers with credit limits. To test whether credit...
Show that for every x1, x2, . . . , xn +. Deduce that the arithmetic mean of a set of positive numbers is always greater than or equal to the geometric mean, that is, 71 1
Show that the cost function c(w, y) of a competitive firm (example 2.31) is concave in input prices w.
In Problems 916, find the indicated first-order partial derivative for each function z = f(x, y). fy(x, y) if f(x, y) = x 3xy + 2y -
The four types of businesses are a. foreign and domestic, large and small. b. local, regional, national, and multinational. c. private, public, government, and medical. d. employee owned, government...
If a firm decides to shift the production of goods or services to an overseas company, this is called a. diversifying. b. offshoring. c. telecommuting. d. forming a partnership.
What other methods could be used to measure economic equality?
A products packaging is used only to provide protection of the goods contents. True or False
A mission statement details the plans of how a company will achieve profitability. True or False
Marcy wants to have $75,000 saved sometime in the future. How much must she deposit into an account that pays 1.3% interest, compounded monthly? Use a graphing calculator to graph the present value...
We all experience emotions, but some people disguise their true feelings better than others. Do you think this is a helpful or harmful thing to do? Under what conditions do you think it would be most...
Data on oxide thickness of semiconductors are as follows: 425, 431, 416, 419, 421, 436, 418, 410, 431, 433, 423, 426, 410, 435, 436, 428, 411, 426, 409, 437, 422, 428, 413, 416. (a) Calculate a point...
X1, X2, .., Xa is a random sample from a normal distribution with mean and variance 2. Let Xmin and Xmax be the smallest and largest observations in the sample. (a) Is (Xmin + X man)/2) an unbiased...
Suppose that X is the number of observed successes in a sample of n observations where p is the probability of success on each observation. (a) Show that P = X/n is an unbiased estimator of p. (b)...
Discuss the elements of effective teamwork presented by each: In what ways are they alike? In what ways are they different? Discuss whether a high performing team requires a team leader. Why or why...
A car is traveling around a banked curve with a radius of 100 meters and a banking angle of 30 degrees at a speed of 40 m/s. What is the coefficient of friction between the tires and the road that...
A spring has a force function of F(x) = 3x, where x is the displacement from the equilibrium position. If an object with a mass of 2 kg is moved from x = 0 to x = 4 meters, how much work is done by...

f is concave if and only if -f is convex.

Question:

Step by Step Answer:

Assume is concave That is for every x 1 x 2 and 0 1 x 1 ...View the full answer

Foundations of Mathematical Economics

Students also viewed these Numerical Analysis questions