Find an example to show that the convexity of s

Assignment Help Mathematics

Reference no: EM131074920

Find an example to show that the convexity of S is necessary in Exercise 19.

Exercise 19

If c ? R and S is a set, define cS = {cx : x ? S}. Let S be a convex set and suppose c > 0 and d > 0. Prove that cS + dS = (c + d)S

Reference no: EM131074920

Questions Cloud

Which of two bundles gives consumer more utility : The concept of utility makes it possible to calculate: how much monetary value a consumer gets from a good. which of two bundles gives a consumer more utility.

Determine whether each set is open or closed : Determine whether each set is open or closed or neither open nor closed.

Paint the surface of the solid : Now, Consider a paint made of infinitesimally small molecules. How much paint would be required to paint the surface of the solid thus formed. And then, Calculate the volume of paint that would be required to fill this solid?

Explain weighted average cost australia oil and gas : Microeconomic theory used (5 slides total), no provided source, you guys need to think professionally and get it from good source of information about: Sticky price (with graph/chart), Opportunity cost on oil and gas Australia( with chart) and Weig..

Find an example to show that the convexity of s : Find an example to show that the convexity of S is necessary in Exercise 19.

Which would be more expensive for the economy as whole : Fresh Maine lobsters are flown from the United States to Japan. Conversely, fresh tuna is flown from Japan to the United States. How would you expect this pattern to affect the number of jobs in fishing in both countries? Which would be more expensiv..

Compare benefits and costs of two alternatives for dealing : Compare the benefits and costs of two alternatives for dealing with the fear that imports of a key product could be cut off. The first alternative is blocking imports of that product now, so as not to become dependent on it. The second alternative is..

Find the speed of the train : A train leaving town X for town Y at dawn is to arrive at its destination 300km away, traveling at 72km/hr, find the speed of the train in m/s

Rate of interest that company is paying for borrowed money : A company sold a $1,000,000 issue of bonds with a 15-year life, paying 4% interest per year. The bonds were sold at par value. If the company paid a selling fee of $50,000 and has an annual expense of $70,256 for mailing and record keeping, what is t..

User Account

All Pages