GEOMETRI DIFERENSIAL FUNGSI COBB-DOUGLAS PADA PRODUKSI GARAM UD SIRA KAJHU, ACEH BESAR, ACEH

Authors

  • Syarifah Meurah Yuni Universitas Syiah Kuala, Indonesia
  • Ratna Sari Dewi Universitas Syiah Kuala, Indonesia
  • Intan Syahrini Universitas Syiah Kuala, Indonesia
  • Mahmudi Mahmudi Universitas Syiah Kuala, Indonesia
  • Nurmaulidar Nurmaulidar Universitas Syiah Kuala

DOI:

https://doi.org/10.31100/histogram.v6i1.2386

Keywords:

Elastisitas, Fungsi Produksi, Geometri Diferensial, Regresi Linier Berganda, Return to Scale

Abstract

Tingginya permintaan garam serta kurangnya tenaga kerja dan modal menyebabkan produksi garam lokal tidak dapat memenuhi kebutuhan. Tujuan penelitian ini yaitu menentukan model fungsi produksi Cobb-Douglas dan untuk mengetahui pengaruh input tenaga kerja dan modal terhadap jumlah produksi garam yang dihasilkan, besarnya nilai elastisitas input, bentuk skala hasil (return to scale) serta gambaran permukaan industri garam di UD Sira Kajhu pada Januari 2020-Februari 2021. Teknik analisis data yang digunakan adalah pendekatan metode Cobb-Douglas menggunakan analisis regresi linier berganda. Berdasarkan hasil analisis fungsi produksi Cobb-Douglas, model yang didapat adalah  dengan besarnya nilai elastisitas input tenaga kerja yaitu sebesar 0,246 yang menunjukkan jika tenaga kerja mengalami peningkatan sebesar 1 rupiah maka produksi garam meningkat sebesar 0,246 rupiah dan nilai elastisitas input modal yaitu sebesar 0,548 yang menunjukkan jika modal mengalami peningkatan sebesar 1 rupiah maka produksi garam meningkat sebesar 0,548 rupiah. Sehingga dapat disimpulkan input modal lebih berpengaruh dibandingkan dengan input tenaga kerja. Kondisi skala hasil yang terjadi sebesar 0,794 menunjukkan bahwa industri berada pada kondisi decreasing return to scale dan gambaran permukaan geometri diferensial industri garam yang terbentuk adalah parabolik, yang berarti input tenaga kerja dan modal berpengaruh terhadap hasil produksi garam di UD Sira Kajhu.

References

Agung, S. (2016). Analisis Fungsi Produksi Wakaf Dengan Metode Cobb-Douglas Pada Yayasan Badan Wakaf. Universitas Airlangga, Surabaya.

Arif, A. (2013). Estimasi Parameter Fungsi Produksi Cobb-Douglas Dengan Iterasi Nonlinear Least Square. Universitas Islam Negeri Maulana Malik Ibrahim, Malang.

Cobb, C. W. & Douglas, P. H. (1928). A Theory of Production. American Economic Review, 18, 139–165.

Caughlin, M. (2019). Intermediate Microeconomic Theory. Economics 3030. Cornell University.

Gultom, I. T. (2020). Analisis Produktivitas Dengan Menggunakan Metode Fungsi Produksi Cobb-Douglas Pada Pt. Gold Coin Indonesiakim Ii Mabar. Universitas Medan Area, Medan.

Ioan, A.C. (2014). A Study of Cobb-Douglas Production Function with Differential Geometry, Euroeconomica, 10(6), 67-74.

Joesron, Tati Suhartati, & M. Fathorrazi. (2012). Teori Ekonomi Mikro (Dilengkapi Beberapa Bentuk Fungsi Produksi ).Graha Ilmu. Yogyakarta.

Jumriati. (2017). Analisis Tingkat Pendapatan petani Garam di Desa Soreang Kecamatan Mappakasunggu Kabupaten Takalar. Universitas Islam Negeri Alauddin, Makassar.

Muhamad, S. & Rizal, A. (2017). Efisiensi Usaha Peternakan Ayam Ras Petelur Di Kabupaten Lombok Timur. Journal Ilmiah Rinjani, 5(2), 115–131.

Nurunnajib, A. F., Wulan, E. R., & Awalluddin, A. S. (2015). Estimasi Parameter pada Fungsi Produksi Cobb-Douglas Non-Linier Menggunakan Metode Least Square. Jurnal Publikasi Ilmiah Matematika, 1(1), 29–37.

Nur, A. A. (2019). Regresi Berganda ( Multiple Regression ). Universitas Kaltara, Kalimantan Utara.

Nurprihatin, F., & Tannady, H. (2017). Pengukuran Produktivitas Menggunakan Fungsi Cobb-Douglas Berdasarkan Jam Kerja Efektif. JIEMS (Journal of Industrial Engineering and Management Systems), 10(1), 34-45.

Purniawati, F. H. (2009). Aplikasi Fungsi Produksi Cobb-Douglas Dalam Mengestimasi Pendapatan Pajak Hotel Kota Surakarta Berdasarkan Jumlah Tenaga Kerja Dan Pengunjung Hotel. Universitas Sebelas Maret, Surakarta.

Rahmani, S. A., Wibowo, S., & Muslich. (2015). Analisis Fungsi Produksi Cobb-Douglas Secara Geometri Diferensial Pada Pertumbuhan Ekonomi Di Indonesia. Universitas Sebelas Maret, Surakarta.

Setiawan, B. (2013). Teknik Hitung Manual Analisis Regresi Linear Berganda Dua Variabel Bebas. Andi: Yogyakarta

Tira, I. P. (1985). Analisis Faktor-Faktor Produksi Pada Industri Semen di Indonesia. Journal of Economic & Development, 10(1), 31–55

Turmudi, M. (2017). Produksi Dalam Perspektif Ekonomi Islam.

Downloads

Published

2022-03-30

Issue

Vol. 6 No. 1 (2022): Histogram

Section

Articles

Citation Check

License

 

Please find the rights and licenses in Histogram: Jurnal Pendidikan Matematika. By submitting the article/manuscript of the article, the author(s) accept this policy.

1. License

The non-commercial use of the article will be governed by the Creative Commons Attribution license as currently displayed on Creative Commons Attribution-ShareAlike 4.0 International. 

2. Author’s Warranties

The author warrants that the article is original, written by a stated author(s), has not been published before, contains no unlawful statements, does not infringe the rights of others, is subject to copyright that is vested exclusively in the author and free of any third party rights, and that any necessary written permissions to quote from other sources have been obtained by the author(s).

3. User Rights

Histogram: Jurnal Pendidikan Matematika spirit is to disseminate articles published are as free as possible. Under the Creative Commons license, Histogram: Jurnal Pendidikan Matematika permits users to copy, distribute, display, and perform the work for non-commercial purposes only. Users will also need to attribute authors and Histogram: Jurnal Pendidikan Matematika on distributing works in the journal.

4. Rights of Authors

Authors retain all their rights to the published works, such as (but not limited to) the following rights;

  • Copyright and other proprietary rights relating to the article, such as patent rights,
  • The right to use the substance of the article in own future works, including lectures and books,
  • The right to reproduce the article for own purposes,
  • The right to self-archive the article,
  • The right to enter into separate, additional contractual arrangements for the non-exclusive distribution of the article's published version (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal (Histogram: Jurnal Pendidikan Matematika).

5. Co-Authorship

If the article was jointly prepared by other authors, any authors submitting the manuscript warrants that he/she has been authorized by all co-authors to be agreed on this copyright and license notice (agreement) on their behalf, and agrees to inform his/her co-authors of the terms of this policy. Histogram: Jurnal Pendidikan Matematika will not be held liable for anything that may arise due to the author(s) internal dispute. Histogram: Jurnal Pendidikan Matematika will only communicate with the corresponding author.

6. Royalties

This agreement entitles the author to no royalties or other fees. To such extent as legally permissible, the author waives his or her right to collect royalties relative to the article in respect of any use of the article by Histogram: Jurnal Pendidikan Matematika.

7. Miscellaneous

Histogram: Jurnal Pendidikan Matematika will publish the article (or have it published) in the journal if the article’s editorial process is successfully completed. Histogram: Jurnal Pendidikan Matematika h editors may modify the article to a style of punctuation, spelling, capitalization, referencing and usage that deems appropriate. The author acknowledges that the article may be published so that it will be publicly accessible and such access will be free of charge for the readers as mentioned in point 3.