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Fungsi produksi , lengkapilah tabel berikut ini:

Pertanyaan

Fungsi produksi straight Q minus 10 LK minus 5 straight K squared minus 10 straight L squared equals 0 , lengkapilah tabel berikut ini:


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Pembahasan Soal:

Penyelesaian:

straight Q minus 10 LK minus 5 straight K squared minus 10 straight L squared equals 0  straight Q equals 10.000 comma space straight K equals 5 10.000 minus 10 left parenthesis straight L cross times 5 right parenthesis minus 5 left parenthesis 5 squared right parenthesis minus 10 straight L squared equals 0 10.000 minus 50 straight L minus 125 minus 10 straight L squared equals 0 9.875 minus 50 straight L minus 10 straight L squared equals 0 minus 10 straight L squared minus 50 straight L plus 9.875 equals 0 2 straight L squared plus 10 straight L minus 1975 equals 0 straight L equals 59  straight L equals 10 comma space straight K equals 10 straight Q minus 10 left parenthesis 10 cross times 10 right parenthesis minus 5 left parenthesis 10 squared right parenthesis minus 10 left parenthesis 10 squared right parenthesis equals 0 straight Q minus 1.000 minus 500 minus 1.000 equals 0 straight Q minus 2.500 equals 0 straight Q equals 2.500  straight Q equals 20.000 comma space straight L equals 6 20.000 minus 10 left parenthesis 6 straight K right parenthesis minus 5 straight K squared minus 10 left parenthesis 6 squared right parenthesis equals 0 20.000 minus 60 straight K minus 5 straight K squared minus 360 equals 0 19.640 minus 60 straight K minus 5 straight K squared equals 0 3.928 minus 12 straight K minus straight K squared equals 0 straight K squared plus 12 straight K minus 3.928 equals 0 straight K equals 57  straight Q equals 8.000 comma space straight L equals 2 8.000 minus 10 left parenthesis 2 straight K right parenthesis minus 5 straight K squared minus 10 left parenthesis 2 squared right parenthesis equals 0 8.000 minus 20 straight K minus 5 straight K squared minus 40 equals 0 7.960 minus 20 straight K minus 5 straight K squared equals 0 straight K equals 38  straight L equals 3 comma space straight K equals 5 straight Q minus 10 left parenthesis 3 cross times 5 right parenthesis minus 5 left parenthesis 5 squared right parenthesis minus 10 left parenthesis 3 squared right parenthesis equals 0 straight Q minus 150 minus 125 minus 90 equals 0 straight Q minus 365 equals 0 straight Q equals 365  straight Q equals 6.000 comma space straight K equals 4 6.000 minus 10 left parenthesis 4 straight L right parenthesis minus 5 left parenthesis 4 squared right parenthesis minus 10 straight L squared equals 0 6.000 minus 40 straight L minus 80 minus 10 straight L squared equals 0 5.920 minus 40 straight L minus 10 straight L squared equals 0 straight L equals 26


Dengan demikian, tabelnya adalah:


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Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 04 Mei 2021

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