Berikut adalah data kuantitas produksi dan harga per unit produk yang dihasilkan oleh PT. IMB\begin{tabular}{|l|l|l|l|l|l|l|}\hline \multirow{2}{*}{ Produk } & \multicolumn{2}{|c|}{ KuantitasProduksi (ribuan unit) } & \multicolumn{3}{c|}{ Harga per satuan (rupiah) } \\\cline { 2 - 7 } & 2016 & 2017 & 2018 & 2016 & 2017 & 2018 \\\hline Balpoint & 100 & 150 & 250 & 2.500 & 2.700 & 3.000 \\\hline Pensil & 150 & 200 & 250 & 1.500 & 1.700 & 1.900 \\\hline\end{tabular}\begin{tabular}{|l|l|l|l|l|l|l|}\hline Penggaris & 125 & 150 & 175 & 2.000 & 2.200 & 2.400 \\\hline Tipe-X & 130 & 135 & 140 & 5.000 & 5.200 & 5.400 \\\hline Penghapus & 135 & 140 & 150 & 1.000 & 1.200 & 1.500 \\\hline\end{tabular}Saudara diminta:1. Menghitung indeks harga relative sederhana semua jenis produk tahun 2017 dengan tahun dasar 20162. Menghitung indeks harga agregat sederhana tahun 2018 dengan tahun dasar 20163. Menghitung indeks rata-rata relatif tahun 2018 dengan tahun dasar 20174. Menghitung indeks agregat tertimbang tahun 2018 dengan tahun dasar 2016 dengan rumus Fisher, Drobisch, Marshal-Edgeworth, dan Wals
Q. Berikut adalah data kuantitas produksi dan harga per unit produk yang dihasilkan oleh PT. IMB\begin{tabular}{|l|l|l|l|l|l|l|}\hline \multirow{2}{*}{ Produk } & \multicolumn{2}{|c|}{ KuantitasProduksi (ribuan unit) } & \multicolumn{3}{c|}{ Harga per satuan (rupiah) } \\\cline { 2 - 7 } & 2016 & 2017 & 2018 & 2016 & 2017 & 2018 \\\hline Balpoint & 100 & 150 & 250 & 2.500 & 2.700 & 3.000 \\\hline Pensil & 150 & 200 & 250 & 1.500 & 1.700 & 1.900 \\\hline\end{tabular}\begin{tabular}{|l|l|l|l|l|l|l|}\hline Penggaris & 125 & 150 & 175 & 2.000 & 2.200 & 2.400 \\\hline Tipe-X & 130 & 135 & 140 & 5.000 & 5.200 & 5.400 \\\hline Penghapus & 135 & 140 & 150 & 1.000 & 1.200 & 1.500 \\\hline\end{tabular}Saudara diminta:1. Menghitung indeks harga relative sederhana semua jenis produk tahun 2017 dengan tahun dasar 20162. Menghitung indeks harga agregat sederhana tahun 2018 dengan tahun dasar 20163. Menghitung indeks rata-rata relatif tahun 2018 dengan tahun dasar 20174. Menghitung indeks agregat tertimbang tahun 2018 dengan tahun dasar 2016 dengan rumus Fisher, Drobisch, Marshal-Edgeworth, dan Wals
Calculate Simple Aggregate Price Index: Now, we need to calculate the simple aggregate price index for 2018 with 2016 as the base year.To calculate the simple aggregate price index, we sum up the price indexes of all products and divide by the number of products.Sum of price indexes for 2018: (3,000/2,500)×100+(1,900/1,500)×100+(2,400/2,000)×100+(5,400/5,000)×100+(1,500/1,000)×100.Sum of price indexes for 2018: 120+126.67+120+108+150=624.67.Simple aggregate price index for 2018: 624.67/5=124.93.
Calculate Average Relative Index: Next, we calculate the average relative index for 2018 with 2017 as the base year.To calculate the average relative index, we sum up the relative price indexes of all products for 2018 based on 2017 prices and divide by the number of products.Sum of relative price indexes for 2018: (3,000/2,700)×100+(1,900/1,700)×100+(2,400/2,200)×100+(5,400/5,200)×100+(1,500/1,200)×100.Sum of relative price indexes for 2018: 111.11+111.76+109.09+103.85+125=561.81.Average relative index for 2018: 561.81/5=112.36.
Calculate Weighted Aggregate Index: Finally, we calculate the weighted aggregate index for 2018 with 2016 as the base year using different formulas.For Fisher's index, we use the geometric mean of Laspeyres and Paasche indexes.For Drobisch's index, we use the sum of the products of quantity and price ratios divided by the sum of quantities.For Marshal-Edgeworth's index, we use the sum of the products of quantity and price ratios divided by the sum of the average quantities of the base and current years.For Walsh's index, we use the geometric mean of the products of quantity and price ratios.However, the problem does not provide the formulas or the necessary quantity data for 2018, which is required to calculate these indices.
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