[{"data":1,"prerenderedAt":54},["ShallowReactive",2],{"blog-golge-fiyat-nasil-okunur-en":3},[4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48,50,52],{"p":5},"A supplier calls and offers sunflower meal at 10,500 TRY a tonne instead of 11,000. The purchasing manager asks the formulation team whether to buy. There are two ways to answer. One is to enter the new price and solve the formula again. The other is to look at a figure you already have: the shadow price of sunflower meal. The second is much faster and, read correctly, gives the same answer.",{"p":7},"We will use the broiler grower diet from our previous article. The numbers are again illustrative. As a reminder, the formula came out at about 57 percent corn, 36 percent soybean meal, 3.4 percent soybean oil and small amounts of limestone, phosphate and L-lysine, at about 14,560 TRY a tonne. Wheat and sunflower meal were not used.",{"h2":9},"Ingredients outside the formula",{"p":11},"When an ingredient stays out of the formula, there is a reason. At that price it is expensive for the nutrients it brings. The shadow price, also called reduced cost in some programs, tells you by how much. In our example the shadow price of sunflower meal is about 893 TRY a tonne. The price would have to fall by roughly that much, to around 10,100 TRY, before the ingredient starts to enter the formula.",{"p":13},"The offer on the phone was 10,500 TRY. At that price sunflower meal stays out of the formula. Buy it and it sits in the warehouse. So the purchasing team's task is clear: keep the target below 10,100 TRY. An offer slightly under that brings it in at a small rate. As the price falls further the rate rises, until sunflower meal reaches the 8 percent ceiling you set.",{"p":15},"Wheat works the same way. In the example its shadow price is about 808 TRY a tonne, so wheat starts to enter once it drops from 8,800 to around 7,990 TRY. In the previous article we saw wheat jump to 20 percent when corn rose by 15 percent. Wheat had not become cheaper. Its competitor had become more expensive. Shadow prices are always a relative comparison.",{"h2":17},"Ingredients in the formula and their price range",{"p":19},"An ingredient that is already in the formula has a shadow price of zero, since it is being used. For those, the figure to look at is the price range: the band within which the price can move without changing the inclusion rate.",{"p":21},"Soybean meal is at 35.7 percent in our example. Its price can rise from 18,000 TRY to about 18,800 TRY and the rate stays put. The cost per tonne goes up, of course, but the structure of the formula does not change. Above 18,800 TRY the formula starts trimming soybean meal and bringing in other sources. That break point is an important threshold for purchasing. When a new soybean meal contract is being discussed, any price above it means a structural change in the formula.",{"p":23},"The range has two ends. When the price falls, there is also a point below which the formula uses more soybean meal and pushes other ingredients out. In the field we often see people watch only the upper end. In a falling market, the lower end is just as informative.",{"h2":25},"Shadow prices of nutrient constraints",{"p":27},"Perhaps the least used and most valuable side of shadow prices concerns nutrient constraints. When a constraint is binding, meaning the formula supplies that nutrient exactly at its limit, OptiFormula calculates what it would cost to move that limit a little.",{"p":29},"In the example the metabolizable energy minimum of 3,100 kcal/kg is binding, with a shadow price of about 9 TRY per kcal per tonne. Raising energy to 3,150 kcal/kg therefore costs roughly 50 × 9 = 450 TRY a tonne. One point of crude protein is about 435 TRY, so asking for 21.5 percent instead of 21 adds about 218 TRY a tonne. Each 0.01 point of available phosphorus is about 22 TRY.",{"p":31},"These figures are a powerful tool for a nutritionist. They show the real cost of the safety margins built into critical nutrients. Seeing what an energy margin adds up to across tens of thousands of tonnes a month is a good starting point for rethinking targets. The decision is not made on cost alone, of course. Animal performance, ingredient variability and customer expectations all play a part. But the decision is made with numbers.",{"h2":33},"Evaluating a new lot",{"p":35},"Another use of shadow prices is comparing lots of the same ingredient at different quality. Say the supplier has a lot of sunflower meal at 32 percent protein instead of 36. At the same price that lot is worth less to you, but by how much?",{"p":37},"A rough calculation is possible. The value of an ingredient to this formula is the sum of its nutrients multiplied by their shadow prices. If protein is four points lower and one point of crude protein is worth about 435 TRY a tonne, the lot is worth about 1,740 TRY a tonne less on protein alone. Lower protein sunflower meal usually carries more fiber and less energy too, which widens the gap further. In short, the 32 percent lot only makes sense with a clear discount.",{"p":39},"This is a quick first estimate. For a firm decision, enter the new lot's analysis and solve the formula again. Still, knowing during the call which price is worth discussing saves time.",{"h2":41},"The reading mistakes we see most",{"p":43},"Shadow prices hold while everything else stays the same. The figure that sunflower meal enters at 10,100 TRY is true as long as corn, soybean meal and the other prices stay where they are. Run the same calculation after the corn increase from the previous article and the shadow price of sunflower meal drops to about 393 TRY. When corn gets more expensive, sunflower meal moves closer to the formula too. If several prices change at once, the reliable answer is to solve again with the new prices.",{"p":45},"The second mistake is treating a shadow price as if it had no limits. Every shadow price is valid within a range. Energy at 9 TRY per kcal holds when going from 3,100 to 3,150. Going to 3,300, the formula may hit the oil ceiling and the cost per kcal jumps. For large changes, again, the right answer is to solve again.",{"p":47},"The third mistake is about units. If protein is defined in percent, energy in kcal/kg and cost in TRY per tonne, the shadow prices combine those units. Checking the unit before interpreting a figure prevents a lot of wrong decisions.",{"h2":49},"Speaking the same language as purchasing",{"p":51},"The benefit we see most often is that formulation and purchasing start talking about the same numbers. Purchasing goes into a negotiation knowing which price makes sense for which ingredient. The formulation team can show the cost of a nutrient target in concrete terms. A handful of shadow prices and price ranges, updated every week, turns many debates between the two teams into a short checklist.",{"p":53},"In OptiFormula, shadow prices and parametric price analysis are included in Pro, Premium and Ultimate. Parametric price analysis shows the price break points of the ingredients in use, which is the easiest way to read the thresholds described above.",1794234580128]