Optimization of Profit for Pasture-Based Beef Cattle and Sheep Farming Using Linear Programming: Model Development and Evaluation
Abstract
:1. Introduction
2. Materials and Methods
2.1. Description of North Island Intensive Finishing Sheep and Beef Cattle Farm Class 5, Taranaki-Manawatu Region
2.2. Model Components and Descriptions
2.2.1. Linear Programming
2.2.2. Model System and Description
2.2.3. Inputs of the Model
Herbage Supply
Beef Cattle and Sheep Activities
Estimation of Feed Demand from Beef Cattle and Sheep
2.2.4. Outputs of the Model and Evaluation
3. Results
4. Discussion
5. Conclusions
Supplementary Materials
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
References
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Attributes | Unit | Low Quintile | High Quintile | Mean |
---|---|---|---|---|
Average production land | ha | 162 | 246 | 213 |
Total labor units | No. | 1.26 | 1.31 | 1.42 |
Working owners | No. | 0.94 | 0.94 | 0.92 |
Pasture fertilizer | kg/ha | 297 | 270 | 260 |
Sales total cattle | No. | 59 | 198 | 152 |
Sales total sheep | No. | 974 | 1612 | 1483 |
Gross farm revenue | NZ$ | 178,535 | 476,086 | 308,630 |
Total farm expenditure | NZ$ | 188,546 | 321,281 | 241,853 |
Farm profit before tax | NZ$ | −10,011 | 154,804 | 66,777 |
Beef Cattle | Months of Purchase | a Stock Unit/Head | Month of Sale | Age at Sale | LWT (Kg) | CWT (kg) | b Price (NZ$/Unit) |
---|---|---|---|---|---|---|---|
Steer weaners | Mar. | 3.0 | - | - | 200 | - | 350.00 |
Steer beef | 5.0 | Feb. | 18 | 500 | 250 | 5.50 | |
5.5 | Dec. | 28 | 578 | 313 | |||
5.5 | Feb. | 30 | 590 | 319 | |||
Bull weaners | Nov. | 2.5 | - | - | 100 | - | 450.00 |
Bull beef | 5.5 | Dec. | 16 | 450 | 234 | 5.25 | |
6.0 | Feb. | 18 | 498 | 259 | |||
6.0 | Apr. | 20 | 531 | 276 | |||
6.0 | Jun. | 22 | 550 | 286 |
Sheep Classes | Month of Weaning | Month of Sale | a Stock Unit/Head | Age at Sale | b Price (NZ$/Head) |
---|---|---|---|---|---|
Prime lambs | Nov. | Nov. Mar. | - 0.4 | 3 6 | 134.89 |
Store lambs | Nov.–Dec. | May | 0.5 | 10 | 97.49 |
RHGT | Nov. | - | 1.1 | - | - |
Cull rams | Apr. | 1.1 | Mixed age | 113.92 | |
Cull ewes | Dec. | 1.1 | Mixed age | ||
Breeding ewes | 1.1 | Mixed age |
Beef Cattle and Sheep and Classes | Class 5 | Optimized System |
---|---|---|
Steer weaners | NA | 100 |
Stored steers | 5 | 0 |
S-18 | 4 | 55 |
S-28 | 43 | 45 |
S-30 | 0 | |
Bull weaners | NA | 100 |
Stored Bulls | 11 | 0 |
B-16 | 76 | 7 |
B-18 | 44 | |
B-20 | 36 | |
B-22 | 13 | |
Breeding ewes | 901 | 1100 |
Store lambs | 251 | 345 |
Prime lambs | 697 | 704 |
Prime hoggets | 377 | 0 |
Replacement hoggets | NA | 330 |
Rams | NA | 11 |
* Stock units | 2142 | 3141 |
Attributes | Unit | Class 5 | Optimized System | ||||
---|---|---|---|---|---|---|---|
GFR | TFE | EBT | GFR | TFE | EBT | ||
Beef cattle | NZ$ | - | - | - | 297,700.39 | 207,523.49 | 90,176.90 |
Sheep | NZ$ | - | - | - | 175,820.19 | 73,789.22 | 102,030.97 |
Total | NZ$ | 308,630.00 | 241,853.00 | 66,777.00 | 473,520.57 | 281,312.71 | 192,207.86 |
Per hectare | NZ$/ha | 1555.20 | 1218.71 | 336.49 | 2391.52 | 1420.77 | 970.75 |
Per stock unit | NZ$/SU | 144.11 | 112.93 | 31.18 | 150.78 | 89.57 | 61.20 |
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Addis, A.H.; Blair, H.T.; Kenyon, P.R.; Morris, S.T.; Schreurs, N.M. Optimization of Profit for Pasture-Based Beef Cattle and Sheep Farming Using Linear Programming: Model Development and Evaluation. Agriculture 2021, 11, 524. https://doi.org/10.3390/agriculture11060524
Addis AH, Blair HT, Kenyon PR, Morris ST, Schreurs NM. Optimization of Profit for Pasture-Based Beef Cattle and Sheep Farming Using Linear Programming: Model Development and Evaluation. Agriculture. 2021; 11(6):524. https://doi.org/10.3390/agriculture11060524
Chicago/Turabian StyleAddis, Addisu H., Hugh T. Blair, Paul R. Kenyon, Stephen T. Morris, and Nicola M. Schreurs. 2021. "Optimization of Profit for Pasture-Based Beef Cattle and Sheep Farming Using Linear Programming: Model Development and Evaluation" Agriculture 11, no. 6: 524. https://doi.org/10.3390/agriculture11060524
APA StyleAddis, A. H., Blair, H. T., Kenyon, P. R., Morris, S. T., & Schreurs, N. M. (2021). Optimization of Profit for Pasture-Based Beef Cattle and Sheep Farming Using Linear Programming: Model Development and Evaluation. Agriculture, 11(6), 524. https://doi.org/10.3390/agriculture11060524