Optimization and Linear Programming
A common form of the productmix linear programming seeks to find the quantities of items in the product mix that maximizes profit in the presence of limited resources.
True
Linear programming helps operations managers make decisions necessary to allocate resources.
True
In linear programming, the unit profit or unit contribution associated with one decision variable can be affected by the quantity made of that variable or of any other variable in the problem.
False
What combination of x and y will yield the optimum for this problem?
Minimize $3x + $15y, subject to
(1) 2x + 4y 12 and
(2) 5x + 2y 10.
x = 0, y = 0
In linear programming, a statement such as "maximize contribution" becomes a(n)
objective function.
Choosing the …show more content…
The optimal solution of a linear programming problem that consists of two variables and six constraints will probably not have all six constraints binding.
True
What combination of a and b will yield the optimum for this problem?
Maximize $6a + $15b, subject to
(1) 4a + 2b 12 and
(2) 5a + 2b 20
a= 0, b=6
What combination of x and y will yield the optimum for this problem?
Minimize $3x + $15y, subject to
(1) 2x + 4y 12 and
(2) 5x + 2y 10.
Wrong x=1, Y=15
evaluating on or more alternatives described by probailistic data is referred to as
Wrong Linear Regression
The amount that an objective function coefficient can change before the optimum values of the variables must change is given by
both 1 and 2
DQ 21
If the amounts of two binding resources change simulatneously, the impact on the objective function can be obtained form the shadow prices
False
reduced cost is associated with variables
True
reduced cost is associated with constraints
False
A feasible solution in transportation models is one in which all of the supply and demand constraints are satisfied.
True
A transportation problem with a total supply of 500 and a total demand of 400 will have an optimal solution that leaves 100 units of supply unused.
True
The optimal solution of a linear

Linear Programming to Solve Coal Blending Problem
1780 Words  8 Pages17th International Mining Congress and Exhibition of Turkey IMCET 2001, © 2001, ISBN 9753954174 Optimum Blending of Coal by Linear Programming for the Power Plant at Seyitömer Coal Mine K.Erarslan, H.Aykul, H.Akçakoca & N.Çetin Dumlupınar University, Department of Mining Engineering, 43100, Kütahya, Turkey ABSTRACT: In this study, a linear programming model is developed to determine the optimum coal blend in terms of quality and quantity. Coal with various features is mined from different panels…

Linear Programming in Finance, Accounting and Economics
3078 Words  13 PagesLinear Programming in Finance, Accounting and Economics Sijia Lu 7289928683 Abstract This article is literatures review about five articles, which apply linear programming to Finance, accounting and economics. The mathematical method is found of crucial importance in those fields. The paper shows how theoretical inference in linear programming throws light upon realistic practice, and how empirical evidence supports those theories. Keywords: finance; accounting; economics; linear programming; investment…

Personal Finance Problem  Linear Programming
973 Words  4 Pagestotal investment in each of equities and securities markets. 4. Invest no more than 15% of total investment in precious metals. 5. Investments in mutual funds should be at least twice the amount invested in stocks. METHODOLOGY: JFS used the linear programming model approach to optimize the financial portfolio fund allocation based on the guidelines provided. The following LP mathematical model was developed by JFS: ____________________________________________________________ _______ LET: m1 =…

Linear Programming in Healthcare Systems
1611 Words  6 PagesLinear Programming in Healthcare Systems: Linear programming is one of the qualitative tools in the decisionmaking process of Operations Research. Similar with the other methods in Operations Research, linear programming consists of a series of mathematical optimization and simulation means and models. Currently, the use of linear programming in providing optimized solutions has helped in lessening costs significantly across medium and largesized organizations in various industrialized countries…

Capacity Planning Using Linear Programming
3875 Words  16 PagesMixed Integer Linear Programming ABSTRACT Company R is experiencing 2.07 more days in producing a certain line of hotdogs. Thus, incurring 51.75% more cost of Php 5, 764. 62 per week. Through work sampling and time study, it was found out that the sealing section of the packaging line is the bottle neck activity with a standard processing time of 2.86 min/kg. Additional machine is needed. Employing strategic capacity planning through formulation of mixed integer linear programming model, to meet…

Linear Programming Model Assignment Questions
1107 Words  5 Pages12), 28, 30. Please use Excel solver function. I posted an annotated solution to Problem 25. This problem is an examplar for both the chapter 2 and 3 problems. In this example I show how I typically set up a problem. First I set up the linear programming model and then develop a parallel setup to use as input to the Solver addin. I use this strategy because I first like to set up the problem solution before I worry about setting up the parameters for using Solver. 24. Universal Claims Processors…

Linear Programming Assignment Essay
1625 Words  7 PagesPART A – Linear Programming 1 a) Linear Programing Model Decision Variables: Let x = acres of watermelon Let y = acres of cantaloupe Objective Function: Maximize Z = 390x + 1300y – 5(20x + 15y) + 5(2x + 2.5y) = 270x + 300y – 100x + 75y + 10x + 12.5y = 256x + 284.5y where Z = total profit 390x = profit from watermelons 1300y = profit from cantaloupe 5(20x + 15y) = cost of fertilizer…

Investment Strategy Linear Programming Essay
1402 Words  6 Pagesoptimal investment strategy that would allow J. D. Williams, Inc. to maximize the annual yield of an investment of $800,000 in a diversified portfolio of funds. To find the investment that would result in the greatest annual yield we have formulated a linear program that takes into account the requirements for the client of J. D. Williams, Inc. The requirements for the investment portfolio can be found on the section titled “Problem Description” The greatest annual yield that can be expected while…

Linear Programming
1303 Words  6 PagesThe development of linear programming has been ranked among the most important scientific advances of the mid 20th century. Its impact since the 1950’s has been extraordinary. Today it is a standard tool used by some companies (around 56%) of even moderate size. Linear programming uses a mathematical model to describe the problem of concern. Linear programming involves the planning of activities to obtain an optimal result, i.e., a result that reaches the specified goal best (according to the mathematical…

Linear Programming Essay
1464 Words  6 PagesLinear Programming Part A Introduction “Linear programming was developed by George B. Dantzig in 1947 as a technique for planning the diversified activities of the U.S Air Force.” Linear programming is a powerful mathematical technique that can be used to deal with the problem of allocating limited facilities and resources among many alternative uses in order to find out the optimal benefits. The main objective of the linear programming problem in management is to maximize profit…
More about Optimization and Linear Programming

Linear Programming to Solve Coal Blending Problem
1780 Words  8 Pages 
Linear Programming in Finance, Accounting and Economics
3078 Words  13 Pages 
Personal Finance Problem  Linear Programming
973 Words  4 Pages 
Linear Programming in Healthcare Systems
1611 Words  6 Pages 
Capacity Planning Using Linear Programming
3875 Words  16 Pages 
Linear Programming Model Assignment Questions
1107 Words  5 Pages 
Linear Programming Assignment Essay
1625 Words  7 Pages 
Investment Strategy Linear Programming Essay
1402 Words  6 Pages 
Linear Programming
1303 Words  6 Pages 
Linear Programming Essay
1464 Words  6 Pages