(Problem 1)Jim Matthews, Vice President for Marketing of the J.R. Nickel Company, is planning advertising campaigns for two unrelated products. These two campaigns need to use some of the same resources. Therefore, Jim knows that his decisions on the levels of the two campaigns need to be made jointly after considering these resource constraints. In particular, letting x1 and x2 denote the levels of campaigns 1 and 2, respectively, these constraints are 4×1 + x2 <= 20 and x1 + 4×2 <= 20.In facing these decisions, Jim is well aware that there is a point of diminishing returns when raising the level of an advertising campaign too far. At that point,the cost of additional advertising becomes larger than the increase in net revenue (excluding advertising costs) generated by the advertising. After careful analysis, he and his staff estimate that the net profit from the first product (including advertising costs) when conducting the first campaign at level x1 would be 3×1 – (x1 – 1)2 in millions of dollars. The corresponding estimate for the second product is 3×2 -(x2 – 2)^2. This analysis led to the following quadratic programming model for determining the levels of the two advertising campaigns:max f(x1; x2) = 3×1 – (x1 – 1)2 + 3×2 – (x2 – 2)^2,s.t. 4×1 + x2 <= 20×1 + 4×2 <= 20×1 >= 0; x2 >= 0:(a) Obtain the KKT conditions for this problem.(b) You are given the information that the optimal solution does not lie on the boundary of the feasible region. Use this information to derive the optimal solution from the KKT conditions.(Problem 2)Find the set of all optimal solutions and all geometric multipliers, and sketch the dual function for the following two-dimensional convex programming problem:min x1s.t. |x1| + |x2| <= 1 (x1,x2) is an element of X = R^2.
A bus company purchases fuel from American Petroleum Supply. In addition to the fuel cost, American Petroleum Supply ch...
I am doing this class that it's called hotel and restaurant operations and today we visit a hotel call Westin Copley place in Boston, its kind...
Code of Conduct Memo – Draft You are a manager at a call center. The company frowns upon phone
calls and texting during work hour...
websites: 1. http://www.tallshipsfestival.com/index2.html2. http://www.vistafleet.com/tal...
4 pages Paragraph 1 The first paragraph should introduce the subject matter of the book/article in an interesting...
Belinda Lee, the CEO, has requ...
A person goes to the store to buy a bottle of shampoo to use at home. This is an example of what kind of user in regard to distribution...
DescriptionNUR 670 GC Week 3 Discussion LatestNUR 670 GC Week 3 Discussion LatestYou are in a place of influence in your professional life where yo...
BCOM 275 Chilean Mine Collapse...
JAVA PROGRAMMER NEEDED ONLY...
...
Other samples, services and questions:
Calculate Price
When you use PaperHelp, you save one valuable — TIME
You can spend it for more important things than paper writing.
