MAT 540 Quiz 3 Essay

The diagram below shows the feasible region of the intersection of two lines. This means that any point within the feasible region satisfies all constraints that we established before graphing. Feasible regions make it easier for us to determine the maximum profit and now we know all the possible combinations it’s important to know what point on the graph is going to be the most profitable.

Q6: How much production fixed expenses should be allocated to 1 kg of "complete meal"? Give a specific number and your logic to support the

“All the cells take in and use nutrients and other substances from their surroundings. Cells of the intestine and the kidney are specialized to carry out absorption. Cells of the kidney tubules reabsorb fluids and synthesize proteins. Intestinal epithelial cells reabsorb fluids and synthesize protein enzymes” (McCance & Huether, pg. 2).

Which of the following is protocol used to enable communication securely between points on a Virtual Private Network (VPN)?

In, 8 hours a day, the company can produce 60 * 8 * (1/0.5) = 960 shirts, which is the current production capacity. But it needs to produce only 800 shirts.

Nestled in Southern Indiana just west of Louisville, Kentucky and south of Indianapolis, Indiana is Dubois County, Indiana. Dubois County is comprised of the towns of Birdseye, Ferdinand, Holland, Huntingburg and Jasper. Of those towns, Jasper is the largest and is the county seat (Kelly School of Business, 2014). Over fifty-two percent of the population consists of adults ranging from 25-64 years of age (Kelly School of Business, 2014). The leading cause of mortality in this county is heart disease, cancer, suicide and injuries (Memorial Hospital and Health Care Center & Dubois County Health Department, 2011).

blending labor). If you divide the total cost of $68,094 by the volume produced from a batch, 169,088oz, you

In Elementary Algebra we have learned how to solve systems of equations. The solution to a system of linear equations is the point where the graphs of the lines intersect. The solution to a system of linear inequalities is every point in a region of the graph where the inequalities overlap, rather than the point of intersection of the lines (Slavin, 2001).

= 720000/2500 x = 288 pounds b) 150 pounds of fertiliser 30 pounds 150 pounds _____ = ____ 2500 sq. ft x sq.ft 150 * 2500 = 375000 30x = 375000 375000/30 = 12500 sq.ft Chapter 2 Problem 46-52 A= { Coca Cola, Pepsi, Sprite, Orange, Red Bull, Mountain Dew, Grape Juice} A∩B= { Pepsi }

| a) Crash cost of A = (600-300)/(5-3) = $150; Crash Cost of B = (450-250)/(3-2) = $200; Crash Cost of C = (500-400)/(6-4) = $50; Crash Cost of D = (400-150)/(5-3) = $125 b) As per the above schedule, the activities on the

18) In a maximal flow problem, each node in the network is associated with a decision variable.

If we are solving a 0-1 integer programming problem, the constraint x1 ≤ x2 is a conditional constraint.

Solver has allocated optimally - the entire AA batch contributes to the profit and no loss is made on it. The original model allocated 700/300/2000 (x 1000 lbs) to Whole/Juice/Paste respectively. With the 80 AA tomatoes now in the picture, the allocation is now 820/260/2000. Solver has allocated the additional AA tomatoes towards producing the more profitable whole tomatoes and less of juice.

The objective function, decision variables and constraints are fed into solver to arrive at the optimal solution as shown in the below screenshot

This reformulation gives the primal-dual search pair as the solution of a KKT-system formed from the QP Hessian and the working-set constraint gradients. It is shown that, under certain circumstances, the solution of this KKT-system may be updated using a simple recurrence relation, thereby giving a significant reduction in the number of KKT systems that need to be solved. The linear constraints of a QP may include an arbitrary mixture of equality and inequality constraints, where the inequality constraints may be subject to lower and/or upper bounds. Many mathematically equivalent formulations of the constraints are possible, and the choice of formulation often depends on the context. We consider the generic quadratic program minimize n