MHT CET 2024 11th May Evening Shift | Linear Programming Question 5 | Mathematics

A production unit makes special type of metal chips by combining copper and brass. The standard weight of the chip must be at least 5 gms. The basic ingredients i.e. copper and brass cost ₹8 and ₹ 5 per gm. The durability considerations dictate that the metal chip must no contain more than 4 gms of brass and should contain minimum 2 gms of copper. Then the minimum cost of the metal chip satisfying the above conditions is

Rs.36

Rs.31

Rs.30

Rs.40

MHT CET 2024 11th May Morning Shift

MCQ (Single Correct Answer)

-0

For the following shaded region, the linear constraints are

MHT CET 2024 11th May Morning Shift Mathematics - Linear Programming Question 5 English

$x-y \leq 0,-x+3 y \leq 3, x \geq 0, y \geq 0$

$x-y \geq 0,-x+3 y \geq 3, x \geq 0, y \geq 0$

$x-y \geq 0,-x+3 y \leq 3, x \geq 0, y \geq 0$

$x-y \leq 0,-x+3 y=3, x \geq 0, y \geq 0$

MHT CET 2024 10th May Evening Shift

MCQ (Single Correct Answer)

-0

The graphical solution set of the system of inequations $x+y \geq 1,7 x+9 y \leq 63, y \leq 5, x \leq 6$, $x \geq 0, y \geq 0$ is represented by

MHT CET 2024 10th May Evening Shift Mathematics - Linear Programming Question 7 English

Fig. 1

Fig. 2

Fig. 3

Fig. 4

MHT CET 2024 10th May Morning Shift

MCQ (Single Correct Answer)

-0

The function to be maximized is given by $Z=3 x+2 y$. The feasible region for this function is the shaded region given below, then the linear constraints for this region are given by

MHT CET 2024 10th May Morning Shift Mathematics - Linear Programming Question 6 English

$\begin{aligned} 3 x+8 y \leq 24,4 x+5 y \leq 20,5 x+3 y \geq 15 x \geq 0, y \geq 0\end{aligned}$

$\begin{aligned} 3 x+8 y \geq 24,4 x+5 y \geq 20,5 x+3 y \leq 15, x \geq 0, y \geq 0\end{aligned}$

$3 x+8 y \leq 24,4 x+5 y \geq 20,5 x+3 y \geq 15 x \geq 0, y \geq 0$

$3 x+8 y \geq 24,4 x+5 y \leq 20,5 x+3 y \leq 15 x \geq 0, y \geq 0$

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