A paper cup order capacity check asks whether a specific quantity can be released by a specific deadline. Rated machine speed alone cannot answer it. The calculation must account for the actual product, existing commitments, changeovers, quality holds and the point at which production becomes available for dispatch.
This worksheet is for operational planning. Illustrative rates and durations below are arithmetic examples, not machine specifications or delivery commitments. Use measured performance for the approved cup and material. Keep uncertain assumptions visible and confirm machine configuration with the supplier.
Decision worksheet
| Planning input | Required definition | Avoid |
|---|---|---|
| Quantity | Required released cups minus usable stock | Counting quarantined stock |
| Rate | Accepted cups per elapsed production hour | Counter speed alone |
| Available time | Named shifts after existing commitments | All calendar hours |
| Fixed time | Setup, cleaning and approvals | Counting losses twice |
| Release | Inspection and packing completion | Assuming formed means dispatchable |
Translate the order into net production demand
Record ordered quantity, permitted delivery split, packing specification and the actual release deadline. Subtract only stock that matches the approved product and is available for this order. Exclude quarantine, customer allocations and material awaiting a disposition decision. Verify whether the deadline refers to factory release, loading or arrival.
Include agreed retained samples or destructive tests as separate demand where they are not already represented in the measured accepted rate. Avoid adding a broad allowance to every loss category without understanding what the baseline rate already includes. The purpose is to make one reproducible calculation, not several overlapping contingency margins.
Use a rate with an explicit denominator
A net accepted rate measured over elapsed operating time already includes the stops and rejects observed during that period. A running-speed figure excludes stops and usually needs separate quality and availability factors. Choose one method and label it. Do not multiply a net rate by the same yield and availability losses again.
Select evidence from the same geometry, board, tooling and packing arrangement where possible. If the only rate available comes from a different product, show a range and identify a trial needed to narrow it. A short best-speed observation is unsuitable as the sole delivery-planning baseline.
Calculate required hours with a worked example
Suppose an illustrative order requires 240,000 released cups and 30,000 matching cups are already available. Net demand is 210,000. At an illustrative accepted rate of 5,000 cups per elapsed operating hour, production needs 42 hours. If setup and approval require another 3 hours outside that rate, the requirement becomes 45 hours.
If only 40 hours remain after existing commitments, the gap is 5 hours before any additional release delay. Do not erase that gap by using nameplate speed. Evaluate a later date, a verified additional shift, a split delivery or a qualified alternative resource, then recalculate the affected constraints.
Check shared resources and the release path
Confirm that printed blanks, bottom reels, tooling, labor, utilities and packing material are available before the scheduled start. Two machines may share one packer, inspector or changeover team. Their individual capacity calculations can both pass while the combined plan fails at the shared resource.
Build a short timeline through forming, packing, inspection and release. Quality sampling must retain its agreed method even under deadline pressure. Allow for any hold whose duration is established by the process or customer requirement. If that duration is uncertain, make the uncertainty visible instead of treating it as zero.
Test downside assumptions before confirming the date
Recalculate using a supported lower rate, a delayed material arrival and a longer changeover. Use scenarios that could realistically occur together. Record which assumption makes the plan fail first and assign an action, such as qualifying another material lot or confirming additional packing coverage.
Send HANNAI the cup drawing, material details, order mix and rate evidence when asking about configuration suitability. Update the feasibility sheet when the order quantity or release criteria change. Retain the version used for the delivery decision so later variance can improve planning rather than become an argument about which speed was promised.
Related equipment and next checks
Review the paper cup production line and the related guide to production capacity calculation. The Engineering Notes archive connects these checks with wider machine planning.
Frequently asked questions
Should rejected cups count as available output?
No. Use released or accepted output according to the defined boundary.
Can I multiply net rate by yield again?
Only if yield was excluded from that rate; otherwise it double counts loss.
Does a forming-machine capacity pass prove delivery feasibility?
No. Check packing, shared resources, material availability and release time.
What should I do with a negative time margin?
Change a verified resource or commitment and recalculate; do not substitute an unsupported rate.
Review the evidence with HANNAI
Send the cup specification, order quantity, release deadline, available shifts and measured accepted rate. Include packing and shared-resource constraints for a practical configuration review.