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

Time series analysis, how do i use least squares method to solve semi avera...

how do i use least squares method to solve semi average problem?

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

Mba, Describe the impact of different types of standards on motivations, an...

Describe the impact of different types of standards on motivations, and specifically, the likely effect on motivation of adopting the labor standard recommended for Geeta & Company

Mgt, #question1-50..

#question1-50..

Explain decision unit - zero base budgeting, Explain decision unit - zero b...

Explain decision unit - zero base budgeting Decision units: an organization is divided among decision units. The manager of the decision unit justifies the relative budget

Implied interest rate, Suppose the spot price of gold is $1700 per ounce. T...

Suppose the spot price of gold is $1700 per ounce. The futures price for delivery in six months is $1712, while the futures price for delivery in one year is $1720. The interest ra

What are the elements of cost, Elements of cost: 1. Material: the sub...

Elements of cost: 1. Material: the substance from which the product is made is known as material it may be in a raw or a manufactured state. It can be direct as well as indir

Calculate earnings per share, EMERALD LTD is planning an expansion programm...

EMERALD LTD is planning an expansion programme,which will require Rs 30 crores & can be funded through one of the following 1.issue further equity share of Rs 100 each at par.

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