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
Mkey [24]
1 year ago
14

Maximum value of P+4x+5y+21 given the following: y-x<1, 21x+7y<25, x>-2, y>-4

Mathematics
1 answer:
allsm [11]1 year ago
6 0

The maximum value of the objective function is 31.787

<h3>How to maximize the function?</h3>

The given parameters are:

Objective function:

Max P = 4x + 5y + 21

Subject to:

y- x < 1

21x + 7y < 25

x>-2,  y>-4

Rewrite the inequalities as equation

y - x = 1

21x + 7y =  25

Add x to both sides in y - x = 1

y = x + 1

Substitute y = x + 1 in 21x + 7y =  25

21x + 7x + 7 =  25

Evaluate the like terms

28x = 18

Divide both sides by 28

x = 0.643

Substitute x = 0.643 in y = x + 1

y = 0.643 + 1

y = 1.643

So, we have:

Max P = 4x + 5y + 21

This gives

P = 4 * 0.643 + 5* 1.643 + 21

Evaluate

P = 31.787

Hence, the maximum value of the objective function is 31.787

Read more about maximum functions at:

brainly.com/question/14381991

#SPJ1

You might be interested in
10. The “Titans” cricket team has a winning rate of 75%. The team is planning to play 10 matches
Ne4ueva [31]

Answer:

5367373837e8e836

Step-by-step explanation:

sorry k the answer and i need points

8 0
3 years ago
What is the theoretical probability of rolling a number less than 5? Write the fraction, decimal and percent.
stealth61 [152]

Given:

Rolling a fair dice.

To find:

The theoretical probability of rolling a number less than 5.

Solution:

The possible numbers of rolling a dice are 1, 2, 3, 4, 5, 6.

Total outcomes = 6

Numbers less than 5 are 1, 2, 3, 4.

Favorable outcomes = 4

Now, the theoretical probability of rolling a number less than 5 is:

\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}

\text{Probability}=\dfrac{4}{6}

\text{Probability}=\dfrac{2}{3}

In decimal form, it can be written as:

\text{Probability}\approx 0.67

In percentage form, it can be written as:

\text{Probability}=\dfrac{2}{3}\times 100

\text{Probability}\approx 66.67%

Therefore, the theoretical probability of rolling a number less than 5 in the fraction, decimal and percent are \dfrac{2}{3}, 0.67 and 66.67\% respectively.

8 0
3 years ago
Is 5x² a term in math​
Eduardwww [97]
Yes it is I believe
5 0
2 years ago
Read 2 more answers
Liam explains that drawing a yellow card is equivalent to drawing a blue card followed by a red card how many spaces forward or
Ivenika [448]

Complete question :

designs a board game in which a card is drawn on each turn. • A blue card means move forward 4 squares. • A red card means move back 6 squares. Liam suggests adding some other cards to Sia's game Part A Liam explains that drawing a yellow card is equivalent to drawing a blue card followed by a red card. How many spaces forward or backward does a player move after drawing a yellow card? Justify your answer.

Answer:

2 squares backward

Step-by-step explanation:

Given the rule :

Blue card = 4 squares forward

Red card = 6 squares backward

Yellow card = drawing a blue followed by a red

Spaces moved after drawing a yellow card:

Yellow equals :

Blue = + 4 squares ; then

Red = - 6 squares

Net total movement :

Blue + red

+4 + (-6)

4 - 6

- 2

2 squares backward

7 0
3 years ago
One of the earliest applications of the Poisson distribution was in analyzing incoming calls to a telephone switchboard. Analyst
grandymaker [24]

Answer:

(a) P (X = 0) = 0.0498.

(b) P (X > 5) = 0.084.

(c) P (X = 3) = 0.09.

(d) P (X ≤ 1) = 0.5578

Step-by-step explanation:

Let <em>X</em> = number of telephone calls.

The average number of calls per minute is, <em>λ</em> = 3.0.

The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 3.0.

The probability mass function of a Poisson distribution is:

P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0,1,2,3...

(a)

Compute the probability of <em>X</em> = 0 as follows:

P(X=0)=\frac{e^{-3}3^{0}}{0!}=\frac{0.0498\times1}{1}=0.0498

Thus, the  probability that there will be no calls during a one-minute interval is 0.0498.

(b)

If the operator is unable to handle the calls in any given minute, then this implies that the operator receives more than 5 calls in a minute.

Compute the probability of <em>X</em> > 5  as follows:

P (X > 5) = 1 - P (X ≤ 5)

              =1-\sum\limits^{5}_{x=0} { \frac{e^{-3}3^{x}}{x!}} \,\\=1-(0.0498+0.1494+0.2240+0.2240+0.1680+0.1008)\\=1-0.9160\\=0.084

Thus, the probability that the operator will be unable to handle the calls in any one-minute period is 0.084.

(c)

The average number of calls in two minutes is, 2 × 3 = 6.

Compute the value of <em>X</em> = 3 as follows:

<em> </em>P(X=3)=\frac{e^{-6}6^{3}}{3!}=\frac{0.0025\times216}{6}=0.09<em />

Thus, the probability that exactly three calls will arrive in a two-minute interval is 0.09.

(d)

The average number of calls in 30 seconds is, 3 ÷ 2 = 1.5.

Compute the probability of <em>X</em> ≤ 1 as follows:

P (X ≤ 1 ) = P (X = 0) + P (X = 1)

             =\frac{e^{-1.5}1.5^{0}}{0!}+\frac{e^{-1.5}1.5^{1}}{1!}\\=0.2231+0.3347\\=0.5578

Thus, the probability that one or fewer calls will arrive in a 30-second interval is 0.5578.

5 0
3 years ago
Other questions:
  • What the slope is, and if it's a fraction it needs to be simplified.
    12·2 answers
  • Due to fire laws, no more than 720 people may attend a performance at metro auditorium. The balcony holds 120 people. There are
    7·1 answer
  • Factor the expression below 36a^2-25b^2
    7·2 answers
  • if u can understand this is the question :Mark cycled 25 miles at a rate of 10 miles per hour. how long did it take mark to cycl
    8·1 answer
  • Solve the proportion?
    6·1 answer
  • Can someone help me please
    12·1 answer
  • Kinda stuck on this question. Anyone can help! Thanks!
    13·2 answers
  • Plz help me thanks so much :)​
    14·1 answer
  • Eric is 8 years 4 months old. his mother is 40 years 3 months old. how old was his mother when eric was born?
    10·1 answer
  • layla buys 3.6 pounds of dried fruit. the dried fruit costs $4.55 per pound. layla wants to know the total cost of the fruit.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!