HSC Commerce (Marathi Medium) इयत्ता १२ वी - Maharashtra State Board Important Questions

Find the sequence that minimizes total elapsed time to complete the following jobs in the order XY. Find the total elasped time and idle times for each machine.

For the following assignment problem minimize total man hours:

Subtract the `square` element of each `square` from every element of that `square`

Subtract the smallest element in each column from `square` of that column.

The lines covering all zeros is `square` to the order of matrix `square`

The assignment is made as follows:

Optimum solution is shown as follows:

A → `square, square` → III, C → `square, square` → IV

Minimum hours required is `square` hours

State whether the following statement is true or false:

To convert a maximization-type assignment problem into a minimization problem, the smallest element in the matrix is deducted from all elements of the matrix.

A job production unit has four jobs P, Q, R, and S which can be manufactured on each of the four machines I, II, III, and IV. The processing cost of each job for each machine is given in the following table:

Find the optimal assignment to minimize the total processing cost.

Five jobs are performed first on machine M₁ and then on machine M₂. Time taken in hours by each job on each machine is given below:

Determine the optimal sequence of jobs and total elapsed time. Also, find the idle time for two machines.

Three new machines M1, M2, M3 are to be installed in a machine shop. There are four vacant places A, B, C, D. Due to limited space, machine M2 can not be placed at B. The cost matrix (in hundred rupees) is as follows:

Determine the optimum assignment schedule and find the minimum cost.

If X has Poisson distribution with parameter m and P(X = 2) = P(X = 3), then find P(X ≥ 2). Use e⁻³ = 0.0497

The expected value of the sum of two numbers obtained when two fair dice are rolled is ______.

Choose the correct alternative:

A distance random variable X is said to have the Poisson distribution with parameter m if its p.m.f. is given by P(x) = `("e"^(-"m")"m"^"x")/("x"!)` the condition for m is ______

If X follows Poisson distribution such that P(X = 1) = 0.4 and P(X = 2) = 0.2, using the following activity find the value of m.

Solution: X : Follows Poisson distribution

∴ P(X) = `("e"^-"m" "m"^x)/(x!)`, P(X = 1) = 0.4 and P(X = 2) = 0.2

∴ P(X = 1) = `square` P(X = 2).

`("e"^-"m" "m"^x)/(1!) = square ("e"^-"m" "m"^2)/(2!)`,

`"e"^-"m" = square  "e"^-"m" "m"/2`, m ≠ 0

∴ m = `square`

State whether the following statement is true or false:

lf X ∼ P(m) with P(X = 1) = P(X = 2) then m = 1.

If X ∼ P(m) with P(X = 1) = P(X = 2), then find the mean and P(X = 2).

Given e^–2 = 0.1353

Solution: Since P(X = 1) = P(X = 2)

∴ `("e"^square"m"^1)/(1!) = ("e"^"-m""m"^2)/square`

∴ m = `square`

∴ P(X = 2) = `("e"^-2. "m"^2)/(2!)` = `square`

खालील संज्ञा/संकल्पना स्पष्ट करा:

शिस्तीचे तत्त्व

योग्य जोड्या जुळवा:

खालील विधान सकारण स्पष्ट करा:

संसाधनांचा योग्य तो वापर करण्यासाठी व्यवस्थापनातील तत्त्वांचा उपयोग होतो.

खालील घटना किंवा प्रसंगाचा अभ्यास करून आपले मत लिहा.

XYZ कंपनीत, श्री. लेले त्यांच्या अंतर्गत काम करणाऱ्या कर्मचाऱ्यांना सूचना देतात. मार्गदर्शन करतात आणि त्यांच्या उत्कृष्ट कामगिरीसाठी त्यांना प्रेरित करतात. तर दुसरीकडे श्री. सय्यद संघटनात्मक उद्दिट्य साध्य करण्यासाठी विविध विभागातील कर्मचाऱ्यांनी केलेल्या कामात सुसंवाद साधण्यासाठी प्रयत्न करतात. श्री. देसाई व्यावसायिक संघटनेला आवश्यक संसाधनांची व्यवस्था पाहतात.
खालील कार्यामध्ये गुंतलेल्या कर्मचाऱ्यांची नावे सांगा.

1. संघटन
2. निर्देशन
3. समन्वय

खालील फरक स्पष्ट करा:

निर्देशन आणि समन्वय

गटात न बसणारा शब्द शोधा:

नियोजनाचे महत्त्व सांगा.

स्टार्ट अप इंडिया ______ चा उपक्रम आहे.