Old hens can be bought for Rs. 2 each. but young
ones cost Rs. 5 each. The old hens lay 3 eggs per
week and the young ones 5 eggs per week, each
egg being worth 30 paise. A hen costs Rs. 1.00 per
week to feed. If I have only Rs. 80.00 to spend for
hens, how many of each kind should I buy to give a
profit of more than Rs. 6.00 per week, assuming
that I can not house more than 20 hens.
Formulate this problem as LPP.

Answers

Answer 1

Let x be the number of old hens and y be the number of young hens to buy.

The objective is to maximize the profit, which is the total income from selling eggs minus the total cost of buying and feeding the hens:

Maximize Z = 0.3(3x + 5y) - (2x + 5y + (x + y)) - 6

where 0.3 is the price of each egg, 2 is the cost of an old hen, 5 is the cost of a young hen, and 1 is the cost of feeding a hen per week. The term "-6" is subtracted to ensure that the profit is more than Rs. 6.00 per week.

The constraints are:

The total cost of buying hens cannot exceed Rs. 80.00:

2x + 5y ≤ 80

The total number of hens cannot exceed 20:

x + y ≤ 20

The number of old hens cannot be negative:

x ≥ 0

The number of young hens cannot be negative:

y ≥ 0

Now we have formulated the problem as a linear programming problem. The objective is to maximize Z subject to the constraints.

Related Questions

The Swiss philosopher _________________________ believed in Individual freedom.
*
10 points
Cesare Beccaria
Jean-Jacques Rousseau
Baron de Montesquieu
Voltaire

Answers

The Swiss philosopher Jean Jacques Rousseau believed in individual freedom.

Jean Jacques Rousseau, the 18th-century writer, and philosopher believed that individual freedom was essential for human happiness and fulfillment. He argued that people are born free, but that society's institutions and norms often oppressed them, restricting their natural impulses and desire. He believed society needed to be organized in a way that was just and fair for all members.

However, Rousseau was not an advocate of ultimate individual freedom. He believed individuals needed to be constrained by laws and regulations to live in harmony with one another.

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Why zoos are bad and the other side might say

Answers

because it is not a good idea for the state of the country to have the government of a state in the country

Mrs. Brown is giving a reward to the winner of a game in math class. She has 4 types of candy bars and is allowing the winner to choose 2. How many possible combinations can they choose?

Answers

Answer:

Explanation:

To find the total number of possible combinations, we need to use the combination formula. Since the order of the candy bars doesn't matter, we can use the formula for combinations, which is:

n C r = n! / (r! * (n-r)!)

where n is the total number of candy bars, and r is the number of candy bars we want to choose.

In this case, n = 4 (since there are 4 types of candy bars), and r = 2 (since the winner is choosing 2 candy bars).

So we have:

4 C 2 = 4! / (2! * (4-2)!)

= 4! / (2! * 2!)

= (4 * 3 * 2 * 1) / (2 * 1 * 2 * 1)

= 6

Therefore, there are 6 possible combinations of 2 candy bars that the winner can choose.

Question 18 of 20
If a student scores in the 82nd percentile on the SAT, it means that he or she:
A. performed as well as or better than 82 percent of students taking
the test.
B. performed better than 18 percent of the students throughout the
country.
C. would receive a B for a college course.
D. performed better than 18 percent of the state's college-bound
seniors.

Answers

Answer:

The correct answer is A. If a student scores in the 82nd percentile on the SAT, it means that he or she performed as well as or better than 82 percent of students taking the test. This means that the student scored higher than 82 percent of the students who took the test.

A. performed as well as or better than 82 percent of students taking the test.

His parents arranged for him to get married at the age of 13, and he became a father before he was 20 years old. His family wanted him to become a lawyer, so they sent him to study law at a university in London, England.

Answers

Before studying law in London, this person was arranged to get married at the age of 13 and became a father before the age of 20.

What do these events suggest?

These events suggest that he came from a culture that practices arranged marriages and values starting a family at a young age. Despite this, his family had aspirations for him to become a lawyer, which is why they sent him to study in London.

However, despite his family's traditional values, they also had aspirations for him to become a lawyer, which is why they sent him to study law in London. It's not clear whether he had any say in the matter or if he had different aspirations for his life. Nonetheless, studying law in London would have provided him with opportunities to pursue a career in law and potentially achieve success and social mobility.

Answers

Both passages show that the Tuskegee School was a success as D. they both explain that the school expanded to numerous buildings.

How to convey the information

Booker T. Washington founded Tuskegee Institute in 1881 with the goal of training teachers for the state of Alabama and a charter from the Alabama government. Tuskegee's curriculum included both academic and vocational teaching for students.

Under Washington's direction, the students built their own homes, prepared their own meals, and took care of most of their basic requirements. The Tuskegee faculty used each of these exercises to teach the students the fundamentals, which they could later teach other African American communities in the South.

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It can reasonably be inferred from passage 1 that, in humans, the existence of mental time travel is

Answers

It can reasonably be inferred from passage 1 that, in humans, the existence of mental time travel is related to the development of the prefrontal cortex.

How is this explained?

Research has shown that the prefrontal cortex is responsible for a variety of cognitive processes, including the ability to imagine and plan for the future, remember past events, and engage in mental time travel. This suggests that mental time travel is a uniquely human capability that has evolved as a result of the development of the prefrontal cortex.

While mental time travel has been observed in other animals, such as birds and primates, the degree to which they are able to engage in this type of thinking is not yet fully understood. Overall, the evidence suggests that mental time travel is a complex cognitive process that is closely linked to the development of the prefrontal cortex in humans.

Answers

Answer:

word sequences is grossly impaired when acoustically similar words are used, but is relatively unaffected by semantic similarity.

Explanation:

Now that we have determined that the problem deals with permutations, calculate the number of ways that five destinations can be visited out of 33 possible destinations.

Fill in the blanks below with the correct numbers.

Answers

The number of ways that five destinations can be visited is 237336

Calculating the number of ways that five destinations can be visited

This problem involves calculating the number of combinations of 5 destinations that can be chosen out of a total of 33 destinations. This can be calculated using the formula for combinations:

nCr = n! / (r! * (n-r)!)

where n is the total number of items (33 in this case), r is the number of items to choose (5 in this case), and ! denotes factorial, which is the product of all positive integers up to that number.

Using this formula, we get:

33C5 = 33! / (5! * (33-5)!)

33C5 = 237336

Therefore, there are 237336 ways to choose 5 destinations out of 33 possible destinations.

Answers

Note that the equation that shows the relationship between the number of acres of raspberries and strawberries that the farmer can harvest to earn a total of $50,000 is: 50,000

What is the explanation for the above response?

Let's assume that the farmer can harvest r acres of raspberries and s acres of strawberries.

The farmer earns $5,000r per acre of raspberries and $11,000s per acre of strawberries. Thus, the total earnings can be calculated by multiplying the number of acres of raspberries by $5,000 and the number of acres of strawberries by $11,000s and then adding these two products.

Therefore, the equation that shows the relationship between the number of acres of raspberries and strawberries that the farmer can harvest to earn a total of $50,000 is:

5,000r + 11,000s = 50,000

This is because the total earnings from the two crops, $5,000r + 11,000s$, must be equal to the target total earnings of $50,000

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