# การวางแผนส่วนประกอบอาหารสำหรับเป็ดไข่โดยใช้ตัวแบบทางคณิตศาสตร์

## Authors

• พรพิมล ชัยวุฒิศักดิ์ Department of Statistics, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang, Ladkrabang, Bangkok, 10520

## Keywords:

Laying duck feed formula, Mathematical model, Nutrition requirement

## Abstract

The objective of the research is to formulate a low-cost diet formulation for the laying duck based on the mathematical model and fnd the best solution using Solver add-ins in Microsoft Excel 2013. The linear programming model is applied in this research to calculate the feed formulation for the laying duck. The objective function of the  mathematical model is to minimize the total cost of the mixture feed under nutrient
requirements for the laying duck in the different periods of time: 9-20 weeks, 24-48 weeks, and 48-72 weeks determined by the bureau of animal nutrition development. The linear programming model can be written: The results of the study show that the feed formula for the laying duck of 9 to 20 weeks of age contains 5 raw ingredients: 0.459 kg of tapioca line, 0.154 kg with soybean meal, 0.278 kg of sunﬂower meal, 0.011 kg of shells meal, and 0.024 kg with bone meal. The cost equals to 8.486 baht per kilogram. The feed formula for the laying duck of 24 to 48 weeks of age contains 4 raw ingredients: 0.326 kg of tapioca line, 0.675 kg of sunﬂower meal, 0.049 kg of shells meal, and 0.023 kg with bone meal. The cost equals to 8.598 baht per kilogram. The feed formula for the laying duck of 48 to 72 weeks of age contains 6 raw ingredients: 0.533 kg of tapioca line, 0.065 kg of soybean meal, 0.022 kg of cassava leaves meal, 0.297 kg of sunﬂower meal, 0.037 kg of shells meal, and 0.024 kg with bone meal. The cost equals to 7.645 baht per kilogram. The costs of three feed formulations are cheaper than the ready-make-food costs by 40.79% 46.82%, and 50.67% respectively.

## Author Biography

### พรพิมล ชัยวุฒิศักดิ์, Department of Statistics, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang, Ladkrabang, Bangkok, 10520

Applied statistics department, King Mongkut's Institute of Technology Ladkrabang

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