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c) MR = 0 MR = 1000 + 6Q - 12Q = 0 Mencari akar persamaan kuadrat tersebut, menggunakan rumus akar kuadrat. Q = [-b
c) MR = 0 MR = 1000 + 6Q - 12Q = 0 Mencari akar persamaan kuadrat tersebut, menggunakan rumus akar kuadrat. Q = [-b SQRT(b - 4ac)] / (2a) dimana a = - 12, b = 6, c = 1000 Q = [-6 SQRT((6)c- 4*9-12)*1000)] / (2*(-12)) Q = [-6 SQRT(36 + 48000)] / -24 Q = [-6 SQRT(48036)] / -24 Q = [-6 219] / -24 Q = (6 - 219) / -24 = 9.375 Q = (6 + 219) / -24 = -9.375 Karena kuantitas tidak bisa negatif, maka Q = 9.375 adalah solusi yang valid. Untuk menemukan harga yang memaksimalkan TR, kita ganti Q = 9.375 ke dalam fungsi permintaan, P = 1000 + 3*9.375 - 4*(9.375) = 1000 + 28.125 - 351.5625 = 676.5625. Jadi, kuantitas dan harga yang memaksimalkan TR adalah Q = 9.375 unit dan P = 676.5625
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