Linear Programming

$%CE%94%3D%5Cbegin%7Bvmatrix%7D%208%20%26%201%20%26%204%20%5C%5C%5B0.3em%5D%201%20%26%201%20%26%201%20%5C%5C%5B0.3em%5D%20%CE%BB%20%26%20-3%20%26%200%20%5Cend%7Bvmatrix%7D$
$%3D8(3)%E2%88%921(%E2%88%92%CE%BB)%2B4(%E2%88%923%E2%88%92%CE%BB)$
$%3D24%2B%CE%BB%E2%80%9312%E2%80%934%CE%BB$
$%3D12%E2%80%933%CE%BB$
So for $%CE%BB%20%3D%204$ , it is having infinitely many solutions.
$%CE%94_x%3D%20%5Cbegin%7Bvmatrix%7D%20-2%20%26%201%20%26%204%20%5C%5C%5B0.3em%5D%200%20%26%201%20%26%201%20%5C%5C%5B0.3em%5D%20%CE%BC%20%26%20-3%20%26%200%20%5Cend%7Bvmatrix%7D$
$%CE%94_x%3D%E2%88%922(3)%E2%88%921(%E2%88%92%CE%BC)%2B4(%E2%88%92%CE%BC)$
$%CE%94_x%3D%E2%88%926%E2%80%933%CE%BC$
$%CE%94_x%3D0$
For $%CE%BC%3D%20%E2%80%932$
Distance of $(4%2C%E2%88%922%2C%E2%88%92%5Cfrac%2012)$ from $8x%2By%2B4z%2B2%3D0$
$%3D%5Cfrac%20%7B32%E2%88%922%E2%88%922%2B2%7D%7B%5Csqrt%20%7B64%2B1%2B16%7D%7D$

$%3D%5Cfrac%20%7B10%7D%7B3%7D$ units

So, the correct option is (D): $%5Cfrac%20%7B10%7D%7B3%7D$

High-Yield Trend

Chapter Questions
2 MCQs

Official Solution

Official Solution

Linear Programming

High-Yield Trend

Chapter Questions 2 MCQs

Official Solution

Official Solution

Chapter Questions
2 MCQs