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Katyanochek1 [597]
3 years ago
11

Max z = 3x1 + 5x2 subject to: 7x1 + 12x2 ≤ 136 3x1 + 5x2 ≤ 36 x1, x2 ≥ 0 and integer find the optimal solution. what is the valu

e of the objective function at the optimal solution. note: the answer will be an integer. please give your answer as an integer without any decimal point. for example, 25.0 (twenty-five) would be written 25
Mathematics
1 answer:
Reptile [31]3 years ago
4 0
The second constraint is the same as the objective function, so your problem boils down to finding integer solutions to
.. 3x1 +5x2 = 36

There are 3 solutions. They are (x1, x2) = (12, 0), (7, 3), (2, 6)

The value of the objective function there is (obviously) 36.
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According to the data reported by the New York State Department of Health regarding West Nile Virus for the years 2000-2004, the
hjlf

Answer:

31 human cases.

Step-by-step explanation:

The least squares line equation for the number of reported dead birds (x), versus the number of human West Nile virus cases (y) is

y = -10.2638 + 0.0491x

If the number dead birds reported in a year is 844, then we have to find the numbers of human cases of West Nile virus.

To find the numbers we will plug in the value of x = 844 in the linear equation.

y = -10.2638 + 0.0491(844)

  = -10.2638 + 41.4404

  = 31.1766

  ≈ 31

Therefore, 31 human cases can be expected.

8 0
3 years ago
Someone please help!!
steposvetlana [31]

Answer:

y-6 = -7x + 21

Step-by-step explanation:

Find the slope

(-8 - 6)/(5-3)

-14/2 = -7

Now find the formula

y-6=-7(x - 3)

y-6 = -7x + 21

Another way to write it is

y= -7x + 27

6 0
3 years ago
I REALLY NEED TO PASS THIS! PLEASE EXPLAIN UR ANSWER, THANK YOU!
IgorLugansk [536]

Answer:

Step-by-step explanation:bjgnjfvnifcb

7 0
2 years ago
Read 2 more answers
A line passes through (9, –9) and (10, –5).Write an equation for the line in point-slope form.
Ket [755]

bearing in mind that standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

\bf (\stackrel{x_1}{9}~,~\stackrel{y_1}{-9})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{-5}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-5-(-9)}{10-9}\implies \cfrac{-5+9}{1}\implies \cfrac{4}{1}\implies 4

\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-9)=4(x-9)\implies\underline{y+9=4(x-9)} \\\\\\ y+9=4x-36\implies y=4x-45\implies \stackrel{standard~form}{\underline{-4x+y=-45}}

quick note:

the "x" must not have a negative coefficient for the standard form, though in this case it shows like so in the inappropriate choices above.

5 0
2 years ago
A student takes an exam containing 16 true or false questions. If the student guesses, what is the probability that he will get
almond37 [142]

Answer:

0.001831055

Step-by-step explanation:

Here, n = 16, p = 0.5, (1 - p) = 0.5 and x = 14

As per binomial distribution formula P(X = x) = nCx * p^x * (1 - p)^(n - x)

We need to calculate P(X = 14)

P(x =14) = 16C14 * 0.5^14 *(1-0.5)^2

               = 120 * 0.5^14 *(1-0.5)^2

= 0.001831055

5 0
2 years ago
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