1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
USPshnik [31]
3 years ago
10

Suppose the allowable increase and decrease for an objective coefficient of a decision variable that has a current value of $50

are $25 (increase) and $10 (decrease). If the coefficient were to change from $50 to $60, the optimal value of the objective function would not change.
1.True
2.False
Mathematics
2 answers:
nirvana33 [79]3 years ago
8 0

Answer:h

Step-by-step explanation:

Semenov [28]3 years ago
7 0
I think it’s true. I remember learning about it but I think it’s TRuE
You might be interested in
Find the area of the region that lies inside the first curve and outside the second curve.
marishachu [46]

Answer:

Step-by-step explanation:

From the given information:

r = 10 cos( θ)

r = 5

We are to find the  the area of the region that lies inside the first curve and outside the second curve.

The first thing we need to do is to determine the intersection of the points in these two curves.

To do that :

let equate the two parameters together

So;

10 cos( θ) = 5

cos( θ) = \dfrac{1}{2}

\theta = -\dfrac{\pi}{3}, \ \  \dfrac{\pi}{3}

Now, the area of the  region that lies inside the first curve and outside the second curve can be determined by finding the integral . i.e

A = \dfrac{1}{2} \int \limits^{\dfrac{\pi}{3}}_{-\dfrac{\pi}{3}} (10 \ cos \  \theta)^2 d \theta - \dfrac{1}{2} \int \limits^{\dfrac{\pi}{3}}_{-\dfrac{\pi}{3}} \ \  5^2 d \theta

A = \dfrac{1}{2} \int \limits^{\dfrac{\pi}{3}}_{-\dfrac{\pi}{3}} 100 \ cos^2 \  \theta  d \theta - \dfrac{25}{2} \int \limits^{\dfrac{\pi}{3}}_{-\dfrac{\pi}{3}} \ \   d \theta

A = 50 \int \limits^{\dfrac{\pi}{3}}_{-\dfrac{\pi}{3}} \begin {pmatrix}  \dfrac{cos \ 2 \theta +1}{2}  \end {pmatrix} \ \ d \theta - \dfrac{25}{2}  \begin {bmatrix} \theta   \end {bmatrix}^{\dfrac{\pi}{3}}_{-\dfrac{\pi}{3}}

A =\dfrac{ 50}{2} \int \limits^{\dfrac{\pi}{3}}_{-\dfrac{\pi}{3}} \begin {pmatrix}  {cos \ 2 \theta +1}  \end {pmatrix} \ \    d \theta - \dfrac{25}{2}  \begin {bmatrix}  \dfrac{\pi}{3} - (- \dfrac{\pi}{3} )\end {bmatrix}

A =25  \begin {bmatrix}  \dfrac{sin2 \theta }{2} + \theta \end {bmatrix}^{\dfrac{\pi}{3}}_{\dfrac{\pi}{3}}    \ \ - \dfrac{25}{2}  \begin {bmatrix}  \dfrac{2 \pi}{3} \end {bmatrix}

A =25  \begin {bmatrix}  \dfrac{sin (\dfrac{2 \pi}{3} )}{2}+\dfrac{\pi}{3} - \dfrac{ sin (\dfrac{-2\pi}{3}) }{2}-(-\dfrac{\pi}{3})  \end {bmatrix} - \dfrac{25 \pi}{3}

A = 25 \begin{bmatrix}   \dfrac{\dfrac{\sqrt{3}}{2} }{2} +\dfrac{\pi}{3} + \dfrac{\dfrac{\sqrt{3}}{2} }{2} +   \dfrac{\pi}{3}  \end {bmatrix}- \dfrac{ 25 \pi}{3}

A = 25 \begin{bmatrix}   \dfrac{\sqrt{3}}{2 } +\dfrac{2 \pi}{3}   \end {bmatrix}- \dfrac{ 25 \pi}{3}

A =    \dfrac{25 \sqrt{3}}{2 } +\dfrac{25 \pi}{3}

The diagrammatic expression showing the area of the region that lies inside the first curve and outside the second curve can be seen in the attached file below.

Download docx
7 0
3 years ago
What’s the inverse of the function F(x)=2x+1
antoniya [11.8K]

Answer:

Step-by-step explanation:

1.  Replace F(x) with y.

2.  Interchange x and y in  y = 2x + 1:  x = 2y + 1

3.  Solve this result for y:  2y = x - 1, or y = (x - 1)/2

4.  Replace y with:

   -1

F     (x):

   -1             x - 1

F     (x) = -----------

                     2

7 0
3 years ago
Read 2 more answers
After you prove that two triangles are congruent, what would CPCTC be useful for?
Lapatulllka [165]
Is useful<span> in </span>proving<span>various theorems about </span>triangles<span> and other polygons.

</span>
6 0
3 years ago
20 points!<br> I need help!<br> I will also be doing a 50 point giveaway later!
Naddik [55]

Answer:

3. 156 / 0.2 = $780

4. 9.75 / 0.25 = $39

Step-by-step explanation:

I hope this helped :)

3 0
3 years ago
Read 2 more answers
Transversal t cuts parallel lines r and s. Which angles must be congruent to ∠2?
aalyn [17]

Answer:

7 and 6

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • John's dog eats 8 ounces of dog food each day. John bought 20-pound bag of dog food. How many 8 - ounces are in 28- pounds of do
    13·2 answers
  • The US Census Bureau reported the US population to be approximately 308,000,000 in 2010. It also reported that 6.5% of the popul
    11·1 answer
  • The set of whole numbers is not a subset OF --
    12·1 answer
  • Write how many of each type of angle the shape has
    7·2 answers
  • Give one positive and one negative coterminal angle for 135°
    9·1 answer
  • The sixth term is 22 and the common difference is 6 what is the 15th term?
    12·1 answer
  • Please please help me!!!!!!!
    14·1 answer
  • In a class of c children there are 16 boys what fraction of the class are boys​
    15·1 answer
  • The equation below describes a proportional relationship between x and y. What is the constant of​ proportionality? Y = 5.32x
    14·1 answer
  • What is the scale factor from the original to A?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!