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K J Somaiya School of Education concluded the placements for the Class of 2024 with the highest package of INR 8.64 LPA. The salary package offered during K J Somaiya School of Education placements between 2023 and 2024 are tabulated below:

K J Somaiya School of Education has released the placement report for the Class of 2024. The key highlights of are tabulated below:

As per the IIT Patna JEE Advanced cutoff 2024, a candidate belonging to SC AI category must have a rank between 681 and 3075. To get into top BTech courses like Computer Science and Engineering,  Artificial Intelligence and Data Science, and Mathematics and Computing Engineering, a SC AI category candidate need to acquire a rank of 681, 1021, and 1187, respectivley, in 2024.

Let there be x cakes of first kind and y cakes of second kind. Therefore,

x ≥ 0 and y ≥ 0

The given information can be complied in a table as follows.

$\begin{array}{l}\therefore 200x+100y\le 5000\\ \Rightarrow 2x+y\le 50\\ 25x+50y\le 1000\\ \Rightarrow x+2y\le 40\end{array}$

Total numbers of cakes, Z, that can be made are, $Z= x + y$

The mathematical formulation of the given problem is

Maximize $Z= x + y \dots \left(1\right)$

subject to the constraints,

$\begin{array}{l}2x+y\le 50.......(2)\\ x+2y\le 40.......(3)\\ x,y\ge 0..............(4)\end{array}$

The feasible region determined by the system of constraints is as follows

The corner points are A (25, 0), B (20, 10), O (0, 0), and C (0, 20).

The values of Z at these corner points are as follows.

Thus, the maximum numbers of cakes that can be made are 30 (20 of one kind and 10 of the other kind).

Yes, K J Somaiya School of Education conducts placement drives annually for its BEd, MEd, MA and Diploma courses. The key highlights of K J Somaiya School of Education placements for the Class of 2023 and 2024 are tabulated below:

BEd is a well-known course of K J Somaiya School of Education, Greater Noida. The course-wise placement stats are yet to be released on the official website. Meanwhile, check out the overall highlights of K J Somaiya School of Education placements for the Class of 2023 and 2024 in the table below:

Delhi Pharmaceutical Sciences and Research University offer BSc (Hons) courses in a full-time mode. The university provides BSc (H) in Biomedical Science and Sports Science. Admission to these programmes is granted on a merit-basis. The aspirants performance in Class 12 or equivalent exam is evaluated for selection.

K J Somaiya School of Education has a good record of placements for its BEd, MEd, MA and Diploma courses. In 2024, the the highest package offered stood at INR 8.64 LPA, respectively. The key highlights of K J Somaiya School of Education placements for the Class of 2023 and 2024 are tabulated below:

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Maximise $z=x+y$ , subject to $x-y\le -1,-x+y\le 0,x,y\ge 0$

The corresponding equation of the given inequalities are

$x-y=1$ $\frac{x}{-1}+\frac{y}{1}=1$

$-x+y=0$ $\Rightarrow$ $x=y$

$x,y=0$ $x,y=0$

The graph of the given inequalities is shown.

There is no common point in the two shaded region. Thus, there is no feasible region.

$\therefore$ Z has no maximum value.

Maximise $z=-x+2y$ , subject to the constraints

$x\ge 3,x+y\ge 5,x+2y\ge 6,y\ge 0.$

The corresponding equation of the given inequalities are

$x=3$ $x=3$

$x+y=5$ $\Rightarrow \frac{x}{5}+\frac{y}{5}=1$

$x+2y=6$ $\frac{x}{6}+\frac{y}{3}=1$

$y=0$ $y=0$

The graph of the given inequalities is shown

The feasible region unbounded.

The values of Z at corner points A (6,0), B (4,1), and C (3,2) are as follows

As the feasible region is unbounded z=1 may or may not be the maximum values.

So, we plot a graph of $-x+2y>1$

The resulting region has points in common with the feasible region.

Therefore z=1 is not the maximum value. Z has no maximum value.

Minimize and Maximise $z=x+2y$

Subject to $x+2y\ge 100,2x-y\le 0,2x+y\le 200,x,y\ge 0$

The corresponding equation of the given inequalities are

$x+2y=100$ $\Rightarrow \frac{x}{100}+\frac{y}{50}=1$

$2x-y=0$ $2x=y$

$2x+y=200$ $\frac{x}{100}+\frac{y}{200}=1$

$x,y\ge 0$ $x,y=0$

The graph of the inequalities is shown below.

The shaded bounded region ABCD is the feasible region with the corner points.

A (0,50), B, (20,40), C (50,100), D (0,200)

The values of Z at these corner points are

The maximum value of Z is 400 at D (0,200) and the minimum value of Z is 100 at all the points on the line segment joining the points A (0,50) and B (20,40).

Yes, students who have completed their MBA degrees from S. S. Jain Subodh Management Institute are eligible to apply for jobs offered by government departments and organisations. This happens because, while pursuing an MBA degree, students gain various essential skills, such as strategic thinking, planning & organising, problem solving,  and more. These skills come in handy at cracking government jobs. The below table contains some of the job profiles for students to pursue after completing their MBA degree:

A total of 95.3% of Yale Class of 2025 students were employed or in graduate school within six months of graduation. The top industries are Financial Services, Consulting, Technology, and Healthcare. The mean starting salary is USD 94,028. A few of the top recruiters were:

• McKinsey & Company
• Deloitte
• Bain & Company
• Morgan Stanley
• Amazon
• Meta Platforms, Inc.