Constraints, Managerial Accounting

Assignment Help:

Constraints

1) A constraint of the type ≤ (≥) can be converted to an equation by adding a slack variable to (subtracting a surplus variable form) the left side of the constraint.

For illustration, in the constraint: XI + 2X2 ≤ 6 we add a slack SI ≥ 0 to the left side to obtain the equation: XI + 2X2 + SI = 6,     SI ≥ 0.

If the constraint represents the limit on the usage of a resource, SI will represent the slack or unused amount of the resource.

After that consider the constraint: 3XI + 2X2 - 3X3 ≥ 5, we subtract a surplus variable S2 ≥ 0 from the left side to obtain the equation.
3XI + 2X2 - 3X3 - S2 = 5, S2 ≥ 0

2) The right side of an equation can always be made non-negative by multiplying both sides by -1.

For illustration, 2XI + 3X2 - 7X3 = -5 is mathematically equivalent to -2XI - 3X2 + 7X3 = +5.

3) The direction of an equation is reversed when both sides are multiplied by -1. For illustration, whereas 2 < 4, -2 > -4. Thus the inequality 2XI - X2 ≤-5 can be replaced by -2XI + X2 ≥ 5.


Related Discussions:- Constraints

Study guide , The following information pertains to Fairways Driving Range,...

The following information pertains to Fairways Driving Range, Inc.: The company is considering operating a new driving range facility in Sanford, FL. In order to do so, they will

Determine the fixed assets turnover ratio, Fixed assets turnover ratio ...

Fixed assets turnover ratio Meaning: this ratio establishes a relationship among net sales and fixed assets. Objective: the objective of computing this ratio is to verif

Describe the nature of standard costing, Describe the Nature of standard co...

Describe the Nature of standard costing The system of standard costs (standard costing) is a management technique of using predetermined costs (standard costs) for evaluating p

Determine important factors while praparing sales budget, Determine importa...

Determine important factors while praparing sales budget The possible factors to be taken into account while preparing a sales budget are discussed as follows: 1) Past sales

Registered pension plan, How much would each be required to contribute to t...

How much would each be required to contribute to the QPP in 2011 based on their $70,000 salaries?   Please show your calculations. How much pension income would each have receiv

Objective function, Objective Function Although the standard LP model c...

Objective Function Although the standard LP model can be either the maximization or the minimization type, it is sometimes useful to convert one form to the other. The maximiz

Interest rate and dividend, Compute the ‘fair' value of the two nearest to ...

Compute the ‘fair' value of the two nearest to expiration futures contracts on the Hang - Seng Index (HSI) using HSI as the underlying asset Answer the following questions: a

Basic assumption of transportation model, Basic Assumption of Transportatio...

Basic Assumption of Transportation Model The basic assumption of the model is that the transportation cost on a given route is directly proportional to the number of units tran

Saddle point, Saddle Point The saddle point in a payoff matrix is one w...

Saddle Point The saddle point in a payoff matrix is one which is the smallest value in its row and the largest value in its column. It is also termed as equilibrium point in th

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd