Restaurant cutlery shortage planner calculator

Calculate peak required cutlery and additional cutlery needed with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use peak required cutlery and additional cutlery needed to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Covers by service interval (count)
10,20,15,5
Cutlery pieces per cover (count)
3
Issue-to-wash-return delay (intervals)
2
Existing usable cutlery (pieces)
100
Peak required cutlery (pieces)
105
Additional cutlery needed (pieces)
5

Try another scenario

Covers by service interval (count)
15,20,25,10
Cutlery pieces per cover (count)
4
Issue-to-wash-return delay (intervals)
3
Existing usable cutlery (pieces)
150
Peak required cutlery (pieces)
240
Additional cutlery needed (pieces)
90
Calculation method

Calculation method

Peak required cutlery (pieces)

Maximum rolling sum of cover counts over wash delay intervals×pieces/cover.

Additional cutlery needed (pieces)

max(0,peak required−existing usable).

Symbols and units
a
Covers by service interval (count)
b
Cutlery pieces per cover (count)
c
Issue-to-wash-return delay (intervals)
d
Existing usable cutlery (pieces)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Cutlery issued at interval start and returned after whole wash-cycle intervals; no initial dirty stock. Supported limits: All numeric inputs and computed intermediates must remain finite. Supported numeric input magnitude is zero or 1e-12 through 1e12 in absolute value; reject values outside this bounded range. All lists/JSON record tables are limited to 100 records unless a stricter bound is stated; reject malformed record arity and wrong member types. All numeric values must be finite. Lists contain at most 100 records; required lists must be nonempty. Rates, probabilities and fractions are entered as fractions, not percentages; fractions must be between 0 and 1. Use a single consistent user-selected currency for all amounts; no exchange-rate conversion.
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