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Sergio039 [100]

2 years ago

13

Discuss why Operations Research (Decision Sciences, Quantitative Analysis, etc.) is an important area of study for future manage

rs/leaders.

1 answer:

harina [27]2 years ago

5 0

Answer and Explanation :

Operations Research can be portrayed as a logical way to deal with taking care of issues; it speaks to the basic components of the issue into a model, which is then taken a shot at to yield an ideal solution for implementations.

It utilizes measurable examination and scientific demonstrating to tackle a wide scope of business issues, just as improve basic leadership. All of which make it a significant region of concentrate for future directors.

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An increase in which of the following causes GDP to decrease?

Svetradugi [14.3K]

Answer:

B

Step-by-step explanation:

The GDP measures the market value of all goods and services produced in an economy (country or region) in a specific period of time. The GDP formula is:

GDP= Consumption (C)+ Investment (I)+ Government expenditure (G)+ (Exports - Imports) (Net exports)

Notice that if exports increase, GDP will increase too. Also, if investment increases GDP will increase. Notice that imports have a negative sign, then if they increase, GDP will decrease.

5 0

2 years ago

Math problem help me

Ratling [72]

Answer:

$y=3x+2$

Step-by-step explanation:

To find the equation, use the slope-intercept formula:

$y=mx+b$

m is the slope and b is the y-intercept. Now, it'll really help to draw a line through the points, connecting them. If you look at point (0,2), we can see that this is the y-intercept (where a point sits on the y-axis when x=0). You can insert this into the equation by taking the y value:

$(0,2)\\y=mx+2$

Now, take any two points to find the slope. To make it easier, I'll use (1,5) and (0,2). Use the slope formula for when you know two points:

$\frac{y(2)-y(1)}{x(2)-(x1)} =\frac{rise}{run}$

Rise over run is the change in the y-axis over the change in the x-axis. Insert values:

$(1(x1),5(y1))\\(0(x2),2(y2))\\\\\frac{2-5}{0-1}$

Solve:

$\frac{2-5}{0-1}=\frac{-3}{-1}$

Since both are negative, the result is a positive:

$\frac{-3}{-1}=\frac{3}{1} =3$

Insert this into the equation as m, the slope:

$y=3x+2$

Done.

6 0

2 years ago

Find the sum of the positive integers less than 200 which are not multiples of 4 and 7

taurus [48]

Answer:

$12942$ is the sum of positive integers between $1$ (inclusive) and $199$ (inclusive) that are not multiples of $4$ and not multiples $7$ .

Step-by-step explanation:

For an arithmetic series with:

$a_1$ as the first term,
$a_n$ as the last term, and
$d$ as the common difference,

there would be $\displaystyle \left(\frac{a_n - a_1}{d} + 1\right)$ terms, where as the sum would be $\displaystyle \frac{1}{2}\, \displaystyle \underbrace{\left(\frac{a_n - a_1}{d} + 1\right)}_\text{number of terms}\, (a_1 + a_n)$ .

Positive integers between $1$ (inclusive) and $199$ (inclusive) include:

$1,\, 2,\, \dots,\, 199$ .

The common difference of this arithmetic series is $1$ . There would be $(199 - 1) + 1 = 199$ terms. The sum of these integers would thus be:

$\begin{aligned}\frac{1}{2}\times ((199 - 1) + 1) \times (1 + 199) = 19900 \end{aligned}$ .

Similarly, positive integers between $1$ (inclusive) and $199$ (inclusive) that are multiples of $4$ include:

$4,\, 8,\, \dots,\, 196$ .

The common difference of this arithmetic series is $4$ . There would be $(196 - 4) / 4 + 1 = 49$ terms. The sum of these integers would thus be:

$\begin{aligned}\frac{1}{2}\times 49 \times (4 + 196) = 4900 \end{aligned}$

Positive integers between $1$ (inclusive) and $199$ (inclusive) that are multiples of $7$ include:

$7,\, 14,\, \dots,\, 196$ .

The common difference of this arithmetic series is $7$ . There would be $(196 - 7) / 7 + 1 = 28$ terms. The sum of these integers would thus be:

$\begin{aligned}\frac{1}{2}\times 28 \times (7 + 196) = 2842 \end{aligned}$

Positive integers between $1$ (inclusive) and $199$ (inclusive) that are multiples of $28$ (integers that are both multiples of $4$ and multiples of $7$ ) include:

$28,\, 56,\, \dots,\, 196$ .

The common difference of this arithmetic series is $28$ . There would be $(196 - 28) / 28 + 1 = 7$ terms. The sum of these integers would thus be:

$\begin{aligned}\frac{1}{2}\times 7 \times (28 + 196) = 784 \end{aligned}$ .

The requested sum will be equal to:

the sum of all integers from $1$ to $199$ ,
minus the sum of all integer multiples of $4$ between $1\!$ and $199\!$ , and the sum integer multiples of $7$ between $1$ and $199$ ,
plus the sum of all integer multiples of $28$ between $1$ and $199$ - these numbers were subtracted twice in the previous step and should be added back to the sum once.

That is:

$19900 - 4900 - 2842 + 784 = 12942$ .

8 0

3 years ago

you buy a ring box as a birthday gift that is in the shape of a triangular prism. what is the least amount of wrapping paper nee

garri49 [273]

What are the measurements

6 0

2 years ago

A triangle has one side that measures 4x and two sides that measure x + 5 each. Write an

Tamiku [17]

P = 4x + 2(x + 5)
That’s the expression
P = perimeter

5 0

2 years ago