Question

A company manufacture two kinds of machine
each require a different manufacturing
techniques. The deluxe machine requires 18 hours
of labor, 9 hours of testing and yield (gain) a profit
of Rs 400. The standard machine requires 3 hours
of labor , 4 hours of testing and yields a profit of
Rs 200. There are total 800 hours of labor and
600 hours of testing available each month.
Formulate LPP problem.​

Answer 1

f(x)=400x+200y \to maxf(x)=400x+200y→max

18x+3y\le80018x+3y≤800

9x+4y\le6009x+4y≤600

x\ge0, 0\le y \le150x≥0,0≤y≤150