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+ Agricultural plant science
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Pablo Sampedro Ruiz

How to calculate the amount of a fertilizer(fine powders) need for...

Blessing Emmanuella  Follow

A fertilizer company needs to supply 50 tons of fertilizer at the end of the first month, 70 tons at the end of second month, and 90 tons at the end of third month. The cost of producing x tons of fertilizer in any month is given by $(4500x + 20x2). It can produce more fertilizer in any month and supply it in the next month. However, there is an inventory carrying cost of $400 per ton per month. Find the optimal level of production in each of the three periods and the total cost involved by solving it as an initial value problem.



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Chris Mansker  Follow

recommended rate x 100/%fertilizer
eg if recommended rate is 60kg N per ha, and using 46-0-0 fertilizer
then 60x100/46

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Chandrakala Chaulagain  Follow

Two important information are needed. The first is the nutrient content of the new fertilizer, for instance in terms of N, P and K%. The second information needed is recommendation in terms of N, P and K in kg per ha. If you can have these information it is easy to calculate the amount of a fertilizer(fine powders) needed for the nutrition of one acre (can be converted in to ha).

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Cotondog1116  Follow

There are numerous factors affecting on amount of fertilizer per hectare:
1- Soil fertility status.
2-Type of plant or crop.
3-Climatic condition such as temperature , amount of rainfall......etc.
4-Chemical composition of irrigation water.
5-Chemical and physical properties of fertilizer or type of fertilizer.
6-Percentage of nutrient or nutrients in fertilizer.

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Alison Doran  Follow

Dear Dr. Hassan,
To know the quantity of your fertilizer to be added per acre, you need two important information:
1. The quantity of soil per acre. Using this information you can easily calculate the amount of your fertilizer required to be added for the soil in your pot based on the quantity of fertilizer required per acre. For example if 100 kg fertilizer is require for 1.62 million kg soil (soil on 1 acre area at the depth of 30 cm), how much fertilizer is required for a soil in your pot (this could be 2 or 3 kg depending on the size of your pot and size and number of your experimental plant/s).
100 kg fertilizer = 1600000 kg soil per acre
X kg fertilizer =  2 or 3 kg soil per pot, then solve for x after cross multiplication. That will be the quantity of fertilizer required per your potting soil.
2. You also need the quantity of nutrients such as N, P and K in kg per 100 kg of your fertilizer. Just like UREA is 46 0 0. This means it contains 46% Nitrogen and 0 % both phosphorus in the form of P2O5 and potassium in the form of K2O. This means 100 kg fertilizer UREA is containing 46 kg nitrogen (N). Then you can easily calculate the quantity of nutrients (N or P or K) per pot by multiplying the quantity of your fertilizer added per your potting soil with the percentage of the Nutrients in your fertilizer material, the fine powders.

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Brian Dean  Follow

Dear Dr. Hassan,
Prof. Esmail has rightly stated that approximate weight of the plough-layer (30-cm depth) soil of one acre (40,000 sq.m.) field area is 1.62 million kg.
Suppose, you wish to apply your fertilizer at the rate of 200 kg per acre. That means, for 1.62 million kg (i.e. 1620000 kg) soil you need to apply 200 kg fertilizer. That means for 20 kg soil (if taken in each pot), you need to apply (200/1620000)x20 = 0.00247 kg fertilizer (=2.47 g fertilizer). For pot culture study, you need not consider depth of the soil. Only the volume and/or weight of the soil taken in the pot need to be considered for applying fertilizer there. 

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Bill Bradow  Follow

Dear Dr. Hassan,
Prof. Esmail has rightly stated that approximate weight of the plough-layer (30-cm depth) soil of one acre (40,000 sq.m.) field area is 1.62 million kg.
Suppose, you wish to apply your fertilizer at the rate of 200 kg per acre. That means, for 1.62 million kg (i.e. 1620000 kg) soil you need to apply 200 kg fertilizer. That means for 20 kg soil (if taken in each pot), you need to apply (200/1620000)x20 = 0.00247 kg fertilizer (=2.47 g fertilizer). For pot culture study, you need not consider depth of the soil. Only the volume and/or weight of the soil taken in the pot need to be considered for applying fertilizer there. 

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Aryan Chopra  Follow

If more weight of soil per acre or per ha is taken into consideration and fertlizer nutrient rate per ha is used, in pot culture studies less amount of fertilizer nutrient is calculated per unit weight of soil.

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Chris Hirst  Follow

What is the recommended weight of npk needed for tomato in on one hac of land


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Alexander Lehmann  Follow

Yes, I'm agreed to the answer of Sir Dilip Kumar Kundu.
Moreover, for Dr. Hassan I will like to add about the percent calculation of source of fertilizer which is needed to apply for the given soil. Like if you have to apply Urea to provide N then also consider the percent amount of actual chemical in the fertilizer. Like 46% N in 50 kg Urea bag means it contains 23 kg of actual N in it. So, measure your total amount of fertilizer according to the fertilizer treatment for the specific fertilizer chemical also.

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Charles Offiong  Follow

@Dilip Kumar Kundu As I understand fertilizers doses per acre or per ha are calculated by taking soil depth 15cm, not 30 cm. Fertilizer application rates may increase if more weight of soil is taken into consideration. Accordingly weight of 1 acre soil upto 15 centimeters would be 896,000 kgs and one ha 2.24 million kgs.These weights per acre and per ha are being used to calculate fertilizer doses.

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