decision making techniques limiting factor analysis Flashcards
what jus a limiting factor
a factor that is inn scarce supply that limits production oof grids. the company can usually only operate at the amount of the scarce resource.
what are examples of limiting factors 5
1.limited demand
2.skilled labor
3.material
4.machine capacity
5.limited finance
what is the use 0fm limiting factor analysis for firms
companies will decide to use their limiting factor in a way to maximize contribution and so Maximise profit
what would be there forms approach if there was only one limiting factor
total contribution will be maximized by earning the highest possible contribution per unit
what would bw there firms approach if there was 2 limiting factors
- identify the scarce resource
2.calculate the contribution per unit of each product (SP- VC).
3.calculate the contribution per unit of the scarce resource
4.rank the products in terms of contribution per unit
5.allocate resources using this ranking
what is linear programming used for
if there are 2 resources in short supply linear programming can be used
what does it do in
maximise contribution
minimize costs
how to find optimal solution for how much to produce with multiple limiting factors
4
- define variables
- figure out constrain or limiting factor
- after graph is drawn establish the feasible region for the optimal solution
4.determine optimal solution
what is slack
it is the amount by which a resource is being underutilized
how can you tell when there is no slack at all
optimal solution comes when 2 constraint lines cross and then there is no slack
how can you Tell there is slack graphically
for other constraint lines , the fact that the optimal solution is not on these lines means that the resources are not full utilized , so there will be slack
why is slack important
- for critical constraints if you get more of it, it will improve them optimum solution e.g higher contribution ( there is 0 slack in this state)
- for non-critical constraints gaining or losing a small number of units of resource will have very little effect on the total contribution
what is a shadow price
the increase in contribution created by the availability of one additional unit of the limiting factor at the original cost
how to calculate shadow price
- take the simultaneous equations that intersect at a point
- add one unit to the constrain concerned e.g 4x+45= 56+1 (the plus one is the additional resource added )
- calculate the revised optimal contribution. the increase in contribution from old one to the new one is the shadow price.