// Numbas version: exam_results_page_options {"name": "Set Soal Matematika Bisnis II - Bab 4", "metadata": {"description": "", "licence": "None specified"}, "duration": 2700, "percentPass": 0, "showQuestionGroupNames": false, "showstudentname": true, "question_groups": [{"name": "PG + Isian", "pickingStrategy": "all-shuffled", "pickQuestions": 1, "questionNames": ["", "", "", ""], "questions": [{"name": "Matbis 2 - Bab 4 - No 1", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Meong Meong Project", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4687/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "

Pilih semua masalah optimisasi yang merupakan masalah maksimisasi standar.

", "advice": "", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "m_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": "1", "shuffleChoices": true, "displayType": "checkbox", "displayColumns": 0, "minAnswers": 0, "maxAnswers": 0, "warningType": "none", "showCellAnswerState": true, "markingMethod": "score per matched cell", "choices": ["Memaksimumkan $P=3x+5y$ dengan kendala
$\\begin{cases} 3x+2y &\\leq 10\\\\ 3x-5y&\\leq 7 \\\\ 0\\leq x \\leq 3\\\\y \\geq 4 \\end{cases}$", "Memaksimumkan $P=10x+8y$ dengan kendala
$\\begin{cases} 7x+9y+3z &\\leq 10\\\\ 3x+y+z&\\leq 2\\\\ x+y+z&\\leq 2 \\\\ x \\geq 3\\\\
y \\geq 4 \\end{cases}$", "Memaksimumkan $P=x+y$ dengan kendala
$\\begin{cases} 2x-y+3z &\\leq 18\\\\ -x+y+z&\\leq 23\\\\ x+y+z&\\leq 2 \\\\ x \\geq 0\\\\
y \\geq 0 \\end{cases}$", "Memaksimumkan $P=x+9y$ dengan kendala
$\\begin{cases} -x+y &\\leq 10\\\\ y+z&\\leq 5\\\\ x-z&\\leq 7 \\\\ x \\geq 0\\\\ y \\geq 0 \\end{cases}$", "Memaksimumkan $P=10x+8y$ dengan kendala
$\\begin{cases} x+y+z &\\leq 10\\\\ x+2y+3z&\\leq 20\\\\ x+5y+z&\\leq 30 \\\\ x \\geq 10\\\\y \\geq 8 \\end{cases}$"], "matrix": [0, "1", 0, 0, "1"], "distractors": ["", "", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Matbis 2 - Bab 4 - No 2", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Meong Meong Project", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4687/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "

Pilih semua sistem pertidaksamaan linier yang mempunyai himpunan solusi terbatas.

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y\\geq 1 \\end{cases}$", "$\\begin{cases} x+y\\leq 3\\\\y\\geq x\\\\ y\\geq 5 \\end{cases} $", "$\\begin{cases} x+y&\\geq 5\\\\ x+3y &\\geq 9\\\\9y+5x &\\leq 45 \\end{cases}$", "$\\begin{cases} 2x+y&\\geq 10\\\\ x+2y &\\geq 10\\\\x \\geq 0\\\\ y \\geq 0 \\end{cases}$", "$\\begin{cases} x+y&\\leq 5\\\\ x+2y &\\geq10\\\\x \\geq 0 \\end{cases}$"], "matrix": ["1", "1", "1", 0, 0], "distractors": ["", "", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Matbis 2 - Bab 4 - No 3", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Meong Meong Project", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4687/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "

Tentukan nilai maksimum dari $P=\\var{a}x+\\simplify{2*{a}}y$ dengan kendala $\\begin{cases} x+y &\\geq \\var{c}\\\\ y-x &\\leq \\var{c} \\\\ x-y &\\geq \\var{c}\\\\ x+y &\\leq \\simplify{3*{c}}\\end{cases}$.

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Tentukan nilai minimum $C=2x+5y$ dengan kendala $\\begin{cases} 4x+y&\\geq 40 \\\\ 2x+y&\\geq 0 \\\\ x+3y &\\geq 30\\\\ x \\geq 0\\\\y\\geq 0\\end{cases}$.

Bu Meng ingin menginvestasikan uang paling banyak $200$ juta Rupiah pada tiga buah jenis investasi. Investasi pertama, yaitu Investasi A, mempunyai tingkat pengembalian $10\\%$ per tahun. Investasi kedua, yaitu Investasi B, mempunyai tingkat pengembalian $15\\%$ per tahun. Investasi terakhir, yaitu Investasi C, mempunyai tingkat pengembalian $20\\%$ per tahun. Karena berisiko tinggi, Bu Meng hanya akan berinvestasi pada Investasi C paling banyak $20\\%$ dari total investasinya. Karena suatu hal tertentu, jumlah Investasi B dan Investasi C dari Bu Meng tidak akan melebihi $60\\%$ dari total investasi seluruhnya.

Jika ingin memperoleh tingkat pengembalian maksimum, maka Bu Meng seharusnya menginvestasikan asetnya pada Investasi A sebesar [[0]] juta Rupiah, Investasi B sebesar [[1]] juta Rupiah, dan Investasi C sebesar [[2]] juta Rupiah.

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Tingkat pengembalian maksimum yang dapat diperoleh Bu Meng setelah satu tahun

adalah [[0]] juta Rupiah.

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Waktunya 5 menit lagi ya.

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Selamat datang!

Silakan gunakan set soal ini dengan bijak. Kalian bisa mencoba set soal ini terus-menerus.

Set soal ini dapat digunakan oleh siapapun secara gratis.

Petunjuk pengerjaan soal:

Jawaban dapat dituliskan dalam bentuk desimal maupun pecahan.
Jika jawaban dituliskan dalam bentuk desimal, pisahkan dengan tanda titik dan bulatkan hingga dua angka di belakang titik. Contoh: ketik 0.67 untuk menjawab \$\\frac{2}{3}\$.
Jika jawaban dituliskan dalam bentuk pecahan, pisahkan pembilang dan penyebut dengan garis miring dan jawab dengan pecahan paling sederhana. Contoh: ketik 2/3 untuk menjawab \$\\frac{2}{3}\$.

Jika ada kunci jawaban yang salah, kalian dapat memberitahu kami di Instagram @meongmeongproject atau OA Line @eog7710d.

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