Untuk menggambarkan SPtLDV yang menjadi kendala, terlebih dahulu kita akan mencari titik potong tiap garis dengan sumbu koordinat.
Untuk garis
, titik potongnya dengan sumbu-
adalah
![begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell x plus 0 end cell equals 6 row x equals cell 6 number space number space number space left parenthesis 6 comma space 0 right parenthesis end cell end table end style](data:image/png;base64,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)
dan titik potongnya dengan sumbu-
adalah
![begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 0 plus y end cell equals 6 row y equals cell 6 number space number space number space left parenthesis 0 comma space 6 right parenthesis end cell end table end style](data:image/png;base64,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)
sehingga grafiknya adalah
![](https://imgix2.ruangguru.com/assets/miscellaneous/png_wnzrmb_4184.PNG)
Karena
mempunyai koefisien
positif dan tanda pertidaksamaan
maka daerah penyelesaian yang diarsir juga daerah yang memuat sumbu-
negatif, seperti gambar berikut:
![](https://imgix2.ruangguru.com/assets/miscellaneous/png_twmbgj_5239.PNG)
Untuk garis
, titik potongnya dengan sumbu-
adalah
![begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 2 x plus 0 end cell equals 8 row cell 2 x end cell equals 8 row x equals cell 4 number space number space number space open parentheses 4 comma space 0 close parentheses end cell end table end style](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIMAAAA0CAYAAACpUourAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAY00gKyAAAA0BJREFUeNrtnD9oFEEUxocgh8gRkCMEsRBCSgtBJEgI9nKI2IiVBHsrIQSxsLOyOCRNihCCBERExC6lWAQkhCuCHFhYiEi6FEGOQHzPeyfLZm539m7+vPO+H3wcuxw7szvv5r3d/W6M6dEkfSJ15XONVDd+OXX83iJpT/qyT1ry3I9p0kvSL2njiPSaNG/AXz6SbpGmZPsR6W2CYJgjfSVdl23+7Mh+X+yQrmXOdUq2OwgDO3yBjhMEwysJxCzLst8Xh6SLuX28/RPDbucK6Ztl/3vSzdxF5F/aJU/BwG3O5PY1SN8LjlkkG7dJu5nZh9NSm/QAw27nA+muZf9l0heZOWqSSuaHHCjbYJ0MOFbX8/k9kfYP5fMhhvwsdSmm7hR8Z0W0IbnWZ5oYFAy/PZ4j10YHpAU53xukddkPhFnStkNVPSeDVvXiuQRDx5ImZgakrGHTxL6lID0vAQIk97+zFFbGMjCfSfdJzwMVkMuWAnLN47l2M3cSfc4FKJjHuka46pBCdjLfW5cpNsStZT/9LMis4PPWkovgx5mA4EB4StpEGBRPt31q8ixiMVfl78oU65Mlmcr5F7xn/D904qBuSfHI6e4H6YWcIwAAAAAAAAAAAAAAAICxJobH0hV4IBMTw2PpCjyQygjhsXQFHkhl+PJYwgP5H+DDYzkK8EAqIKTH0hV4IBUQwmMJD+QYEsNj6Qo8kApqhNAeS1fggUyMJo8lPJAAAAAAAAAAAAAAYGJYNb0noTHbW8Vl1we/xd1O0G7ZG+SJG4TTxH3gdyNs9GkE6GPZmprcJtv9Jv5RPL9BPVAQDOwHbQXoo+uami1zdrnFiWPL9KxuqYOB3VzNAH10XVOzadKZkwuJ4YHsX4A3mWOkhC379QB9dF1T84LpvcFVRwwPJAdYO5OjUwfDSaA+VllTs2uUEtoDySaWe7nZRVsw+OhjlTU11QZDaA9k1ZQSGv6/xnSAPrquqVmXVKWOGB5IW3BoLSBH6aPrmpoqC8hYHkhtwVB0a1nUx62SQXRdU9MWNEmJ6YHUFgw1mdIbFfvI3s2jkmOXrak5KwED/6cihn0c3R6xXTyOVkrVF0f8F8FR/hb4TO7a/vEHgMgy8t9XK2sAAAIKdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG10YWJsZSBjb2x1bW5hbGlnbj0icmlnaHQgY2VudGVyIGxlZnQiIGNvbHVtbnNwYWNpbmc9IjBweCI+PG10cj48bXRkPjxtbj4yPC9tbj48bWk+eDwvbWk+PG1vPis8L21vPjxtbj4wPC9tbj48L210ZD48bXRkPjxtbz49PC9tbz48L210ZD48bXRkPjxtbj44PC9tbj48L210ZD48L210cj48bXRyPjxtdGQ+PG1uPjI8L21uPjxtaT54PC9taT48L210ZD48bXRkPjxtbz49PC9tbz48L210ZD48bXRkPjxtbj44PC9tbj48L210ZD48L210cj48bXRyPjxtdGQ+PG1pPng8L21pPjwvbXRkPjxtdGQ+PG1vPj08L21vPjwvbXRkPjxtdGQ+PG1uPjQ8L21uPjxtbz4mI3gyMDA3OzwvbW8+PG1vPiYjeDIwMDc7PC9tbz48bW8+JiN4MjAwNzs8L21vPjxtZmVuY2VkPjxtcm93Pjxtbj40PC9tbj48bW8+LDwvbW8+PG1vPiYjeEEwOzwvbW8+PG1uPjA8L21uPjwvbXJvdz48L21mZW5jZWQ+PC9tdGQ+PC9tdHI+PC9tdGFibGU+PC9tYXRoPg04OsEAAAAASUVORK5CYII=)
dan titik potongnya dengan sumbu-
adalah
![begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 2 open parentheses 0 close parentheses plus y end cell equals 8 row y equals cell 8 number space number space number space left parenthesis 0 comma space 8 right parenthesis end cell end table end style](data:image/png;base64,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)
sehingga grafiknya adalah
![](https://imgix2.ruangguru.com/assets/miscellaneous/png_kkudv6_7152.PNG)
Karena
mempunyai koefisien
positif dan tanda pertidaksamaan
maka daerah penyelesaian yang diarsir adalah daerah yang memuat sumbu-
negatif, seperti gambar berikut:
![](https://imgix2.ruangguru.com/assets/miscellaneous/png_mwilqk_5093.PNG)
Selanjutnya, kita iriskan kedua daerah penyelesaian pertidaksamaan di atas, bersama dengan daerah
dan
, dan diperoleh
![](https://imgix2.ruangguru.com/assets/miscellaneous/png_oubkil_4157.PNG)
Perhatikan bahwa, daerah himpunan penyelesaian dari SPtLDV tersebut memiliki 4 titik pojok. Nilai dari fungsi objektif
berdasarkan keempat titik tersebut disajikan dalam tabel berikut:
![](https://imgix2.ruangguru.com/assets/miscellaneous/png_v9ulyy_3986.PNG)
Dengan demikian, nilai maksimum dari fungsi objektif
dari sistem pertidaksamaan
;
;
;
sama dengan
.