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Sem 5 Prep
← OperationsFactor rating and cost-profit-volume

Formulas for this chapter

Factor rating composite score

Composite score = SUM (weight x score) over all factors

When several factors matter and most cannot be priced. Weights usually sum to 1.00; if they do not, use them as given.

weight
Relative importance of the factor, usually summing to 1.00
score
This location's rating on that factor, usually 0 to 100

Total cost at a location

Total cost = FC + v x Q

Comparing locations on cost at a known volume. Add any other cost the choice changes, such as system transport cost.

FC
Fixed cost for the period
v
Variable cost per unit
Q
Quantity or volume of output for the period

Crossover volume

FC1 + v1 x Q = FC2 + v2 x Q Q = (FC1 - FC2) / (v2 - v1)

To find the volume where the cheaper location changes, and so to state the superiority ranges.

FC1, FC2
Fixed costs of the two locations
v1, v2
Variable costs per unit of the two locations

Total profit at a location

Total profit = Q(R - v) - FC

When a selling price is given. (R - v) is the contribution per unit; set two sites equal to get the indifference volume.

R
Revenue or dealer price per unit
v
Variable cost per unit at that site
FC
Fixed cost for the period at that site
Step 3 of 21
The real wordsTheory

About the weights

Usually the weights sum to 1.00, so the composite score comes out on the same 0 to 100 scale as the individual scores and can be read directly.

If the weights do not sum to 1.00, do not rescale them. Multiply and add exactly as given. Only the ranking matters, and rescaling cannot change a ranking.

The class works one problem of each kind, so both appear in the practical track below.

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