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Hitunglah surplus produsen dari fungsi penawaran Q = 40+2P pada tingkat harga pasarnya 10 ...

Pertanyaan

Hitunglah surplus produsen dari fungsi penawaran Q = 40+2P pada tingkat harga pasarnya 10 ... undefined

  1. 800 undefined

  2. 900 undefined

  3. 1000 undefined

  4. 1100 undefined

  5. 1200 undefined

Pembahasan Soal:

Diketahui:
Fungsi penawaran Q = 40 + 2P
tingkat harga pasar = 10

Ditanya:
surplus produsen?

Jawab:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row straight Q equals cell 40 plus 2 straight P space end cell row cell negative 2 straight P end cell equals cell 40 minus straight Q end cell row straight P equals cell fraction numerator straight Q minus 40 over denominator 2 end fraction end cell row straight P equals cell 0 comma 5 straight Q minus 20 end cell row blank blank blank row cell Jika space straight P end cell equals 0 row straight P equals cell 0 comma 5 straight Q minus 20 end cell row 0 equals cell 0 comma 5 straight Q minus 20 end cell row cell negative 0 comma 5 straight Q end cell equals cell negative 20 end cell row straight Q equals 40 row blank blank blank row cell Jika space straight Q end cell equals 0 row straight P equals cell 0 comma 5 straight Q minus 20 end cell row straight P equals cell 0 minus 20 end cell row straight P equals cell negative 20 end cell row blank blank blank row cell Jika space Pe end cell equals cell 10 space end cell row Pe equals cell space 0 comma 5 straight Q minus 20 end cell row 10 equals cell 0 comma 5 straight Q minus 20 end cell row 30 equals cell 0 comma 5 straight Q end cell row Qe equals 60 row blank blank blank row Ps equals cell QePe minus integral subscript 0 superscript 60 straight f left parenthesis straight Q right parenthesis d straight Q end cell row blank equals cell left parenthesis 60 right parenthesis left parenthesis 10 right parenthesis minus integral subscript 0 superscript 60 left parenthesis 0 comma 5 straight Q minus 20 right parenthesis dQ end cell row blank equals cell 600 minus left square bracket 0 comma 25 straight Q squared minus 20 straight Q right square bracket subscript 0 superscript 60 end cell row blank equals cell 600 minus left square bracket 0 comma 25 left parenthesis 60 right parenthesis squared minus 20 left parenthesis 60 right parenthesis right square bracket minus left square bracket 0 comma 25 left parenthesis 0 right parenthesis squared minus 20 left parenthesis 0 right parenthesis right square bracket end cell row blank equals cell 600 minus left square bracket 900 minus 1200 right square bracket minus 0 end cell row blank equals cell 600 minus left square bracket negative 300 right square bracket end cell row blank equals cell 600 plus 300 end cell row blank equals 900 row blank blank blank end table end style 

Jadi, jawaban yang tepat adalah pilihan B. 

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 28 Juli 2021

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