22. Pedagang buah memiliki modal RP 1.000.000,00 untuk membeli apel dan pisang yang akan dijual kembali. Harga beli tiap kilogram apel RP 4.000,00 dan pisang RP 1.600 ,00 . Tempatnya hanya bisa menampung 400 kg buah, model matematika dari permasalahan tersebut adalah…

a. X ≥ 0,y≥0, x + y ≤ 400, 4.000x + 1.600 y ≤ 1.000.000

b. X ≥ 0,y ≥ 0 ,x + y ≥ 400, 4.000x + 1.600y ≥ 1.000.000

c. X ≤ 0, y ≤ 0, x + y ≤ 400, 4x + 16y ≤ 1.000.000

d. X ≤ 0 ,y ≤ 0, x + y ≥ 1.000.000, 4x +16y ≤ 400

e. X ≥ 0,y ≥ 0, x + y ≤ 400, 4x +16y ≤ 1.000.000

23. Sebuah pabrik membuat dua jenis kursi A da B. Mereka menjual setiap kursi dengan harga eceran RP 650.000,00 dan RP 1.100.000,00. Paling sedikit harus diproduksi 500 kursi. Produksi tiap kursi jenis A memerlukan 2 jam dan jenis B memerlukan 5 jam kerja. Waktu total memproduksi kursi-kursi ini adalah 1.500 jam. Misalkan kursi jenis A diproduksi sebanyak x buah dan jenis B diproduksi y buah, model matematikanya adalah…

B. X + y ≥ 500 , 2x + 5y ≤ 1.500, x ≥ 0, y ≥ 0, f (x,y) = 650.000x + 1.100.000y

A. X + y ≤ 500 ,2x + 5y ≤ 1.500 , x ≥ 0, y ≥ 0, f (x,y) = 650.x +1.100y

C. X + y ≥ 500 , 2x + 5y ≥ 1.500, x ≤ 0,y ≤ 0, f (x,y) = 650.000x + 1.100.000y

D. X + y ≥ 500, 2x + 5y ≤ 1.500, x ≥ 0, y ≥ 0, f (x,y) = 650x + 1.100y

E. X + y ≤ 500 , 2x + 5y ≤ 1.500, x ≥ 0, y ≥ 0, f (x,y) = 650.000x + 1.100.000y

25. Sebuah adonan roti basah dibuat dengan 2 kg tepung dan 2 kg gula. Sedangkan sebuah adonan roti kering dibuat menggunakan 1 kg tepung dan 2 kg gula. Ibu memiliki persediaan tepung sebanyak 6 kg dan gula sebanyak 10 kg. Setiap satu adonan kue basah dapat memberikan untung RP 75.000,00 dan setiap adonan kue kering dapat memberikan untung RP 60.000,00. Model matematikanya adalah…

a. 2x + y ≤ 6 ; 2x + 2y ≤ 10 ; x ≥ 0; y ≥ 0; f ( x,y ) = 75.000x + 60.000y

b. 2x + y ≤ 6 ; 2x + 2y ≤ 10 ; x ≥ 0 ; y ≥ 0 ; f (x,y) = 75x + 60y

c. 2x + y ≥ 6 ; 2x + 2y ≥ 10 ; x ≤ 0 ; y ≤ 0 ; f(x,y) = 75.000x + 60.000y

d. 2x + y ≤ 6 ; 2x + 2y ≥ 10 ; x ≤ 0 ; y ≤ 0 ; f(x,y) = 75.000x + 60.000y

e. 2x + y ≤ 6 ; 2x + 2y ≤ 10 ; x ≥ 0; y ≥ 0 ; f (x,y) = 75x + 60y

PAS MATEMATIKA X-A & X-B

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MULTIPLE CHOICE QUESTION

3 mins • 4 pts

a. -64

b. -12

c. 12

d. 64

e. 21

MULTIPLE CHOICE QUESTION

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a. -36

b. -45

c. -63

d. -99

e. 99

MULTIPLE CHOICE QUESTION

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a. 48

b. 72

c. 108

d. 216

e. 206

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MULTIPLE CHOICE QUESTION

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a. 32

b. 23

c. -32

d. 16

e. 25

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