pada harga Rp. 8.000 jumlah permintaan 10.000 unit pada harga Rp. 6.000 jumlah permintaan 15.000 unit tentukan fungsi permintaan nya

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pada harga Rp. 8.000 jumlah permintaan 10.000 unit pada harga Rp. 6.000 jumlah permintaan 15.000 unit tentukan fungsi permintaan nya​

Penjelasan:

P1 = 8.000 dan Q1 = 10.000

P2 = 6.000 dan Q2 = 15.000

Fungsi permintaan = … ?

Penyelesaian :

 \frac{q - q1}{q2 - q1}  =  \frac{p - p1}{p2 - p1}  \\  \frac{q - 10.000}{15.000 - 10.000}  =  \frac{p - 8.000}{6.000 - 8000}  \\  \frac{q - 10.000}{5.000}  =  \frac{p - 8.000}{ - 2.000}

-2.000 (Q – 10.000 = 5.000 (P – 8.000)

-2.000Q + 20.000.000 = 5.000P – 40.000.000

-2.000Q = -20.000.000 – 40.000.000 + 5.000Q

-2.000Q = -60.000.000 + 5.000Q

q =   \frac{ - 60.000.000 + 5.000q}{ - 2.000}

Q = 30.000 – 2,5Q

Jadi fungsi perinintaannya ialah Qd = 30.000 2,5Q


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