WEBVTT NOTE IDER in-house training materials. Captions follow measured phrase audio timings. Hypothetical worked cases; figures are instructional examples. 00:00:00.000 --> 00:00:06.242 A grain trader buys a thousand kilograms and sells less than a thousand after drying and handling. Is 00:00:06.242 --> 00:00:07.976 that difference a preventable loss? 00:00:08.096 --> 00:00:14.482 And if a technology reduces physical loss, is it automatically worth buying? This IDER in-house clinic 00:00:14.482 --> 00:00:17.674 answers both questions through a practical batch model. 00:00:17.794 --> 00:00:24.500 All quantities, prices and finance rates are hypothetical teaching assumptions, not current market 00:00:24.500 --> 00:00:25.016 quotations. 00:00:25.136 --> 00:00:31.637 We will separate removed water from lost product, calculate the economics of the saleable output and 00:00:31.637 --> 00:00:36.107 evaluate an intervention against its additional cost. Keep a calculator nearby. 00:00:36.227 --> 00:00:42.778 The aim is a decision sheet that an operations manager, researcher and lender can interrogate 00:00:42.778 --> 00:00:47.582 together, with every kilogram and cedi connected to an explicit assumption. 00:00:48.252 --> 00:00:54.963 Before calculating a margin, define what crosses your system boundary. Our unit is one purchased batch 00:00:54.963 --> 00:00:57.900 followed through drying, handling, sale and collection. 00:00:58.020 --> 00:01:04.627 The saleable product has a specified grade and a moisture content of twelve point five percent measured 00:01:04.627 --> 00:01:06.181 on a wet basis. 00:01:06.301 --> 00:01:13.738 We initially take the trader's financial perspective, so the purchase payment is a cost to that trader. A 00:01:13.738 --> 00:01:18.283 whole-chain analysis later needs a different treatment of transactions between actors. 00:01:18.403 --> 00:01:24.850 Record where ownership and risk transfer, because the party paying for an improvement may not capture its 00:01:24.850 --> 00:01:25.230 benefits. 00:01:25.350 --> 00:01:32.149 Without this boundary, analysts often mix farmgate quantities, wholesale prices and retailer costs in a 00:01:32.149 --> 00:01:35.775 single ratio that has no coherent operational meaning. 00:01:36.445 --> 00:01:42.880 Think of the batch as dry matter plus water. A wet-basis moisture percentage divides water mass by 00:01:42.880 --> 00:01:44.015 total wet mass. 00:01:44.135 --> 00:01:51.112 Drying can reduce total weight while retaining the useful dry matter, so treating all weight reduction as 00:01:51.112 --> 00:01:53.574 wasted grain would exaggerate physical loss. 00:01:53.694 --> 00:01:58.686 Handling may then remove actual grain through spillage or other mechanisms. 00:01:58.806 --> 00:02:06.349 A third process is quality deterioration: a batch can retain its weight but receive a lower price because it 00:02:06.349 --> 00:02:11.113 no longer meets the intended grade. Keep these mechanisms in separate fields. 00:02:11.233 --> 00:02:16.666 They call for different measurements and interventions. A moisture meter, calibrated weighing 00:02:16.666 --> 00:02:22.552 procedure and documented grading assessment each answer a different question; none can substitute 00:02:22.552 --> 00:02:24.816 completely for the other two. 00:02:25.486 --> 00:02:31.540 At twenty percent moisture, our thousand-kilogram batch contains two hundred kilograms of water and 00:02:31.540 --> 00:02:38.025 eight hundred of dry matter. If drying removes only water, that eight hundred stays constant. 00:02:38.145 --> 00:02:44.484 At the target moisture, dry matter represents eighty-seven point five percent of total weight. 00:02:44.604 --> 00:02:51.818 Divide eight hundred by zero point eight seven five to obtain approximately nine hundred and fourteen point 00:02:51.818 --> 00:02:53.091 two nine kilograms. 00:02:53.211 --> 00:02:59.703 The missing eighty-five point seven one kilograms is water removed under these assumptions. You cannot 00:02:59.703 --> 00:03:05.761 obtain the correct answer by subtracting seven point five percent of the original batch. 00:03:05.881 --> 00:03:11.832 Moisture percentages use different total weights before and after drying. Always write the conserved 00:03:11.832 --> 00:03:17.782 quantity first; it gives the calculation a physical logic that survives changes in units. 00:03:18.452 --> 00:03:24.640 Now apply a separate physical handling loss of two percent to the batch after moisture adjustment. 00:03:24.760 --> 00:03:31.999 Multiplying nine hundred and fourteen point two nine by ninety-eight percent gives exactly eight hundred 00:03:31.999 --> 00:03:34.895 and ninety-six saleable kilograms before rounding. 00:03:35.015 --> 00:03:42.435 That denominator is part of the assumption: the two percent refers to the target-moisture stage, not to 00:03:42.435 --> 00:03:44.617 the original wet purchase weight. 00:03:44.737 --> 00:03:50.595 If a supplier reports a combined shrink allowance, unpack it before adding another handling-loss 00:03:50.595 --> 00:03:54.361 assumption. Otherwise you may charge the same loss twice. 00:03:54.481 --> 00:04:00.623 Reconcile opening mass with water removed, physical loss and closing saleable mass. 00:04:00.743 --> 00:04:07.079 Where actual observations do not reconcile, investigate measurement timing and scale calibration 00:04:07.079 --> 00:04:11.831 before interpreting the residual as theft or operational waste. 00:04:12.501 --> 00:04:18.671 The trader pays four thousand cedis for the purchased batch, incurs six hundred for processing and 00:04:18.671 --> 00:04:21.371 transport, and allocates two hundred of overhead. 00:04:21.491 --> 00:04:28.386 Total batch cost before finance is four thousand eight hundred. Selling eight hundred and ninety-six 00:04:28.386 --> 00:04:33.902 kilograms at six cedis produces five thousand three hundred and seventy-six revenue. 00:04:34.022 --> 00:04:40.221 The resulting surplus is five hundred and seventy-six. Keep the cost categories visible. 00:04:40.341 --> 00:04:47.521 For historical unit-cost reporting, an overhead allocation may be appropriate; for a short-run 00:04:47.521 --> 00:04:51.940 intervention decision, ask whether that overhead actually changes. 00:04:52.060 --> 00:04:59.985 Also specify whether the selling price is net of deductions and whether taxes are recoverable under the 00:04:59.985 --> 00:05:06.046 relevant arrangement. Our illustration excludes those complications so the physical and financial logic 00:05:06.046 --> 00:05:06.979 remains transparent. 00:05:07.649 --> 00:05:15.067 Pause and calculate the cost per saleable kilogram and the surplus as a percentage of sales. Use unrounded 00:05:15.067 --> 00:05:16.716 intermediate values where possible. 00:05:16.836 --> 00:05:23.729 Then explain the error in dividing total cost by the original thousand kilograms and comparing that result 00:05:23.729 --> 00:05:27.378 directly with the sale price of dried, saleable grain. 00:05:27.498 --> 00:05:34.095 The purchased and sold products have different moisture and loss histories, so their kilograms are 00:05:34.095 --> 00:05:38.493 not interchangeable. Finally distinguish sales margin from markup on cost. 00:05:38.613 --> 00:05:44.816 Both are legitimate ratios when clearly named, but they have different denominators. Write those 00:05:44.816 --> 00:05:46.589 denominators beside the percentages. 00:05:46.709 --> 00:05:52.589 In practical assignments, this small habit prevents a seemingly profitable procurement decision from 00:05:52.589 --> 00:05:58.017 depending on an inconsistent unit or an unexplained change of margin definition. 00:05:58.687 --> 00:06:05.562 Divide four thousand eight hundred by eight hundred and ninety-six to obtain approximately five point 00:06:05.562 --> 00:06:09.229 three five seven one cedis per saleable kilogram. 00:06:09.349 --> 00:06:16.297 The surplus of five hundred and seventy-six divided by five thousand three hundred and seventy-six revenue 00:06:16.297 --> 00:06:21.075 gives a sales margin of approximately ten point seven one percent. 00:06:21.195 --> 00:06:27.500 Dividing the same surplus by cost instead gives a twelve percent markup. Neither percentage replaces the 00:06:27.500 --> 00:06:27.894 other. 00:06:28.014 --> 00:06:34.049 Using the original purchase weight would produce an apparent cost of four point eight cedis per kilogram 00:06:34.049 --> 00:06:37.243 and overstate the margin on the final saleable product. 00:06:37.363 --> 00:06:44.385 This is why the physical reconciliation belongs inside the economic model, rather than being treated as a 00:06:44.385 --> 00:06:48.103 separate technical appendix that the financial analyst never uses. 00:06:48.773 --> 00:06:56.372 Assume, for this calculation only, that the entire four thousand eight hundred cedis is financed upfront 00:06:56.372 --> 00:06:59.222 until customer payment forty-five days later. 00:06:59.342 --> 00:07:07.391 At an illustrative simple annual rate of twenty-four percent using a three-hundred-and-sixty-five-day year, 00:07:07.391 --> 00:07:14.202 interest is approximately one hundred and forty-two point zero three cedis. 00:07:14.322 --> 00:07:21.399 The surplus falls to four hundred and thirty-three point nine seven. This is a cash-timing assumption, 00:07:21.399 --> 00:07:28.475 not a quoted lending offer. Actual fees, repayment dates and compounding can change the financing cost. 00:07:28.595 --> 00:07:35.328 In a real model, use the dated cash balance rather than applying one rate to costs that occur at 00:07:35.328 --> 00:07:36.037 different times. 00:07:36.157 --> 00:07:41.869 A margin improvement that lengthens storage or collection may also increase the financing 00:07:41.869 --> 00:07:44.505 requirement, so evaluate both effects together. 00:07:45.175 --> 00:07:52.286 Our trader's purchase cost is another actor's revenue. If you aggregate the whole chain, adding every 00:07:52.286 --> 00:07:57.620 purchase payment to every actor's production costs would double count internal transactions. 00:07:57.740 --> 00:08:04.751 Build an actor-by-actor account first, then eliminate transfers inside the chosen boundary when estimating 00:08:04.751 --> 00:08:11.762 total resource use. Keep external inputs, labour and other relevant resources under clearly stated 00:08:11.762 --> 00:08:12.764 valuation assumptions. 00:08:12.884 --> 00:08:19.763 Distribution still matters: an intervention can raise total chain surplus while leaving the actor who must 00:08:19.763 --> 00:08:25.353 finance it worse off. Map the payment mechanism, contract terms and bargaining position. 00:08:25.473 --> 00:08:33.225 That analysis may suggest shared investment, a price premium or a service fee. Do not assume that a 00:08:33.225 --> 00:08:38.394 technically efficient intervention will be adopted merely because the aggregate arithmetic looks 00:08:38.394 --> 00:08:38.824 attractive. 00:08:39.494 --> 00:08:46.408 To estimate the effect of a new handling process, compare batches that are genuinely comparable in 00:08:46.408 --> 00:08:49.432 starting moisture, grade, storage time and destination. 00:08:49.552 --> 00:08:55.958 Random allocation is useful when feasible; otherwise document how treatment and comparison batches were 00:08:55.958 --> 00:09:01.905 selected and which differences remain. Measure both weights and moisture at consistent boundaries. 00:09:02.025 --> 00:09:10.109 If an improved process happens to receive drier grain, unadjusted weight loss could falsely suggest an 00:09:10.109 --> 00:09:15.666 intervention effect. Preserve batch identifiers, measurement times and protocol deviations, including 00:09:15.666 --> 00:09:17.687 missing or rejected batches. 00:09:17.807 --> 00:09:22.486 Excluding difficult batches after the outcome is known can bias the result. 00:09:22.606 --> 00:09:29.334 Repeated measurements within one batch are not independent batches, so uncertainty should respect the 00:09:29.334 --> 00:09:33.659 actual level at which the intervention and shocks operate. 00:09:34.329 --> 00:09:40.490 Consider a handling improvement that costs eighty cedis per batch and reduces physical loss from two 00:09:40.490 --> 00:09:43.570 percent to one percent of the moisture-adjusted mass. 00:09:43.690 --> 00:09:51.144 Assume grade, selling price, financing and all other costs are unchanged for this incremental comparison. 00:09:51.264 --> 00:09:58.242 The appropriate benefit is the value of the additional saleable grain, not the value of the entire batch. 00:09:58.362 --> 00:10:04.544 Likewise, costs already incurred under either option do not become additional intervention costs merely 00:10:04.544 --> 00:10:11.167 because they appear in the accounting report. State which costs are avoidable and which remain. 00:10:11.287 --> 00:10:18.904 If the intervention also changes grade, storage time or labour, add those effects separately with evidence. 00:10:19.024 --> 00:10:25.916 A claim that something improves quality should become a measured price or rejection-rate mechanism before 00:10:25.916 --> 00:10:27.754 entering the financial model. 00:10:28.424 --> 00:10:35.595 Pause and calculate how many additional kilograms the improvement recovers. Use the difference between the 00:10:35.595 --> 00:10:39.419 two physical-loss rates on the same target-moisture denominator. 00:10:39.539 --> 00:10:46.757 Value the recovered output at six cedis per kilogram, then subtract the eighty-cedi intervention cost. State 00:10:46.757 --> 00:10:52.171 whether the decision improves or reduces the batch surplus under the assumptions. 00:10:52.291 --> 00:10:57.843 Finally identify one additional benefit that could change the conclusion and the evidence needed to 00:10:57.843 --> 00:10:58.583 include it. 00:10:58.703 --> 00:11:05.004 Resist two common shortcuts: treating a one-percentage-point loss reduction as one percent of 00:11:05.004 --> 00:11:10.336 revenue, and judging success solely by the number of kilograms saved. 00:11:10.456 --> 00:11:15.586 An intervention can perform physically as promised while failing the commercial test. Your recommendation 00:11:15.586 --> 00:11:19.617 needs to keep those two outcomes visible at the same time. 00:11:20.287 --> 00:11:28.298 The improvement recovers approximately nine point one four two nine kilograms. At six cedis each, the 00:11:28.298 --> 00:11:31.804 additional revenue is fifty-four point eight six. 00:11:31.924 --> 00:11:39.116 Subtracting eighty cedis leaves an incremental loss of twenty-five point one four. The process saves grain 00:11:39.116 --> 00:11:43.162 but reduces the trader's surplus under the stated assumptions. 00:11:43.282 --> 00:11:50.698 This does not prove that the technology is universally unattractive. A documented grade premium, avoided 00:11:50.698 --> 00:11:55.148 rejection or lower intervention cost could change the result. 00:11:55.268 --> 00:12:01.206 Quantify such benefits separately and check that they are not already embedded in the loss or price 00:12:01.206 --> 00:12:03.302 assumptions. Also identify who receives them. 00:12:03.422 --> 00:12:09.935 If a downstream buyer captures the quality benefit while the trader pays the full cost, a different 00:12:09.935 --> 00:12:12.617 commercial arrangement may be needed for adoption. 00:12:13.287 --> 00:12:16.131 Thresholds help prioritise field evidence. 00:12:16.251 --> 00:12:23.376 Including the assumed financing cost, divide total cost by eight hundred and ninety-six kilograms to find 00:12:23.376 --> 00:12:28.720 a break-even price of about five point five one five seven cedis. 00:12:28.840 --> 00:12:36.120 A ten percent fall from the six-cedi selling price gives five point four, producing a loss of roughly one 00:12:36.120 --> 00:12:38.419 hundred and three point six three. 00:12:38.539 --> 00:12:46.156 For the eighty-cedi intervention, divide its cost by the moisture-adjusted quantity times the six-cedi 00:12:46.156 --> 00:12:46.700 price. 00:12:46.820 --> 00:12:54.082 It needs approximately one point four five eight three percentage points of physical-loss reduction to break 00:12:54.082 --> 00:12:56.805 even, if no other benefit changes. 00:12:56.925 --> 00:13:04.735 Starting at two percent loss, that means ending at about zero point five four one seven percent. These 00:13:04.735 --> 00:13:08.639 are specific conditions to test, not universal performance targets. 00:13:09.309 --> 00:13:17.140 Your final decision sheet should connect the physical batch, actor accounts and dated cash requirements. 00:13:17.140 --> 00:13:23.404 Show moisture assumptions, physical-loss denominators, saleable grade, realised price and cost scope. 00:13:23.524 --> 00:13:29.964 Present baseline profitability separately from the incremental intervention comparison, then state the 00:13:29.964 --> 00:13:33.183 thresholds that would change your recommendation. 00:13:33.303 --> 00:13:39.558 Attach an evidence plan for the most consequential uncertain assumptions and identify the actor 00:13:39.558 --> 00:13:45.366 responsible for each measurement. Complete the assessment and the two applied tasks below. 00:13:45.486 --> 00:13:52.255 In your own project, begin with one traceable batch before scaling the model across seasons or locations. 00:13:52.375 --> 00:13:59.747 If you can explain where every kilogram went, why every cost belongs and who receives each benefit, you 00:13:59.747 --> 00:14:04.252 can turn a broad value-chain narrative into an actionable research finding.