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A firm makes two types of products: Type A and Type B. The profit on product A is Rs. 20 each and that on product B is Rs. 30 each. Both types are processed on three machines M1, M2 and M3. The time required in hour by each product and total time available in hours per week on each machine are asa follows:
Machine Product A Product B Available Time
M1 3 3 36
M2 5 2 50
M3 2 6 60
The constraints can be formulated taking x1 = number of units A and x2 = number of unit of B as
Machine Product A Product B Available Time
M1 3 3 36
M2 5 2 50
M3 2 6 60
The constraints can be formulated taking x1 = number of units A and x2 = number of unit of B as
- a)x1 + x2 ≤ 12
5x1 + 2x2 ≤ 50
2x1 + 6x2 ≤ 60 - b)3x1 + 3x2 ≥ 36
5x1 + 2x2 ≤ 50
2x1 + 6x2 ≥ 60
x1 ≥ 0, x2 ≥ 0 - c)3x1 + 3x2 ≤ 36
5x1 + 2x2 ≤ 50
2x1 + 6x2 ≤ 60
x1 ≥ 0, x2 ≥ 0 - d)none of these
Correct answer is option 'C'. Can you explain this answer?
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A firm makes two types of products: Type A and Type B. The profit on p...
To formulate the constraints, we need to consider the time required by each product on each machine and the available time on each machine. Let x1 be the number of units of product A produced and x2 be the number of units of product B produced.
On machine M1:
The time required to process x1 units of A is 3x1 hours
The time required to process x2 units of B is 3x2 hours
The total time available is 36 hours
So, the constraint is: 3x1 + 3x2 ≤ 36
On machine M2:
The time required to process x1 units of A is 5x1 hours
The time required to process x2 units of B is 2x2 hours
The total time available is 50 hours
So, the constraint is: 5x1 + 2x2 ≤ 50
On machine M3:
The time required to process x1 units of A is 2x1 hours
The time required to process x2 units of B is 6x2 hours
The total time available is 60 hours
So, the constraint is: 2x1 + 6x2 ≤ 60
We also have the non-negativity constraints:
x1 ≥ 0 and x2 ≥ 0
The objective function is to maximize the total profit, which can be expressed as:
Z = 20x1 + 30x2
Therefore, the linear programming problem can be formulated as follows:
Maximize Z = 20x1 + 30x2
Subject to:
3x1 + 3x2 ≤ 36
5x1 + 2x2 ≤ 50
2x1 + 6x2 ≤ 60
x1 ≥ 0, x2 ≥ 0
On machine M1:
The time required to process x1 units of A is 3x1 hours
The time required to process x2 units of B is 3x2 hours
The total time available is 36 hours
So, the constraint is: 3x1 + 3x2 ≤ 36
On machine M2:
The time required to process x1 units of A is 5x1 hours
The time required to process x2 units of B is 2x2 hours
The total time available is 50 hours
So, the constraint is: 5x1 + 2x2 ≤ 50
On machine M3:
The time required to process x1 units of A is 2x1 hours
The time required to process x2 units of B is 6x2 hours
The total time available is 60 hours
So, the constraint is: 2x1 + 6x2 ≤ 60
We also have the non-negativity constraints:
x1 ≥ 0 and x2 ≥ 0
The objective function is to maximize the total profit, which can be expressed as:
Z = 20x1 + 30x2
Therefore, the linear programming problem can be formulated as follows:
Maximize Z = 20x1 + 30x2
Subject to:
3x1 + 3x2 ≤ 36
5x1 + 2x2 ≤ 50
2x1 + 6x2 ≤ 60
x1 ≥ 0, x2 ≥ 0
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A firm makes two types of products: Type A and Type B. The profit on product A is Rs. 20 each and that on product B is Rs. 30 each. Both types are processed on three machines M1, M2 and M3. The time required in hour by each product and total time available in hours per week on each machine are asa follows:Machine Product A Product B Available TimeM1 3 3 36M2 5 2 50M3 2 6 60The constraints can be formulated taking x1= number of units A and x2= number of unit of B asa)x1+ x2≤ 125x1+ 2x2≤ 502x1+ 6x2≤ 60b)3x1+ 3x2≥ 365x1+ 2x2≤ 502x1+ 6x2≥ 60x1≥ 0, x2≥ 0c)3x1+ 3x2≤ 365x1+ 2x2≤ 502x1+ 6x2≤ 60x1≥ 0, x2≥ 0d)none of theseCorrect answer is option 'C'. Can you explain this answer?
Question Description
A firm makes two types of products: Type A and Type B. The profit on product A is Rs. 20 each and that on product B is Rs. 30 each. Both types are processed on three machines M1, M2 and M3. The time required in hour by each product and total time available in hours per week on each machine are asa follows:Machine Product A Product B Available TimeM1 3 3 36M2 5 2 50M3 2 6 60The constraints can be formulated taking x1= number of units A and x2= number of unit of B asa)x1+ x2≤ 125x1+ 2x2≤ 502x1+ 6x2≤ 60b)3x1+ 3x2≥ 365x1+ 2x2≤ 502x1+ 6x2≥ 60x1≥ 0, x2≥ 0c)3x1+ 3x2≤ 365x1+ 2x2≤ 502x1+ 6x2≤ 60x1≥ 0, x2≥ 0d)none of theseCorrect answer is option 'C'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about A firm makes two types of products: Type A and Type B. The profit on product A is Rs. 20 each and that on product B is Rs. 30 each. Both types are processed on three machines M1, M2 and M3. The time required in hour by each product and total time available in hours per week on each machine are asa follows:Machine Product A Product B Available TimeM1 3 3 36M2 5 2 50M3 2 6 60The constraints can be formulated taking x1= number of units A and x2= number of unit of B asa)x1+ x2≤ 125x1+ 2x2≤ 502x1+ 6x2≤ 60b)3x1+ 3x2≥ 365x1+ 2x2≤ 502x1+ 6x2≥ 60x1≥ 0, x2≥ 0c)3x1+ 3x2≤ 365x1+ 2x2≤ 502x1+ 6x2≤ 60x1≥ 0, x2≥ 0d)none of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A firm makes two types of products: Type A and Type B. The profit on product A is Rs. 20 each and that on product B is Rs. 30 each. Both types are processed on three machines M1, M2 and M3. The time required in hour by each product and total time available in hours per week on each machine are asa follows:Machine Product A Product B Available TimeM1 3 3 36M2 5 2 50M3 2 6 60The constraints can be formulated taking x1= number of units A and x2= number of unit of B asa)x1+ x2≤ 125x1+ 2x2≤ 502x1+ 6x2≤ 60b)3x1+ 3x2≥ 365x1+ 2x2≤ 502x1+ 6x2≥ 60x1≥ 0, x2≥ 0c)3x1+ 3x2≤ 365x1+ 2x2≤ 502x1+ 6x2≤ 60x1≥ 0, x2≥ 0d)none of theseCorrect answer is option 'C'. Can you explain this answer?.
A firm makes two types of products: Type A and Type B. The profit on product A is Rs. 20 each and that on product B is Rs. 30 each. Both types are processed on three machines M1, M2 and M3. The time required in hour by each product and total time available in hours per week on each machine are asa follows:Machine Product A Product B Available TimeM1 3 3 36M2 5 2 50M3 2 6 60The constraints can be formulated taking x1= number of units A and x2= number of unit of B asa)x1+ x2≤ 125x1+ 2x2≤ 502x1+ 6x2≤ 60b)3x1+ 3x2≥ 365x1+ 2x2≤ 502x1+ 6x2≥ 60x1≥ 0, x2≥ 0c)3x1+ 3x2≤ 365x1+ 2x2≤ 502x1+ 6x2≤ 60x1≥ 0, x2≥ 0d)none of theseCorrect answer is option 'C'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about A firm makes two types of products: Type A and Type B. The profit on product A is Rs. 20 each and that on product B is Rs. 30 each. Both types are processed on three machines M1, M2 and M3. The time required in hour by each product and total time available in hours per week on each machine are asa follows:Machine Product A Product B Available TimeM1 3 3 36M2 5 2 50M3 2 6 60The constraints can be formulated taking x1= number of units A and x2= number of unit of B asa)x1+ x2≤ 125x1+ 2x2≤ 502x1+ 6x2≤ 60b)3x1+ 3x2≥ 365x1+ 2x2≤ 502x1+ 6x2≥ 60x1≥ 0, x2≥ 0c)3x1+ 3x2≤ 365x1+ 2x2≤ 502x1+ 6x2≤ 60x1≥ 0, x2≥ 0d)none of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A firm makes two types of products: Type A and Type B. The profit on product A is Rs. 20 each and that on product B is Rs. 30 each. Both types are processed on three machines M1, M2 and M3. The time required in hour by each product and total time available in hours per week on each machine are asa follows:Machine Product A Product B Available TimeM1 3 3 36M2 5 2 50M3 2 6 60The constraints can be formulated taking x1= number of units A and x2= number of unit of B asa)x1+ x2≤ 125x1+ 2x2≤ 502x1+ 6x2≤ 60b)3x1+ 3x2≥ 365x1+ 2x2≤ 502x1+ 6x2≥ 60x1≥ 0, x2≥ 0c)3x1+ 3x2≤ 365x1+ 2x2≤ 502x1+ 6x2≤ 60x1≥ 0, x2≥ 0d)none of theseCorrect answer is option 'C'. Can you explain this answer?.
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Here you can find the meaning of A firm makes two types of products: Type A and Type B. The profit on product A is Rs. 20 each and that on product B is Rs. 30 each. Both types are processed on three machines M1, M2 and M3. The time required in hour by each product and total time available in hours per week on each machine are asa follows:Machine Product A Product B Available TimeM1 3 3 36M2 5 2 50M3 2 6 60The constraints can be formulated taking x1= number of units A and x2= number of unit of B asa)x1+ x2≤ 125x1+ 2x2≤ 502x1+ 6x2≤ 60b)3x1+ 3x2≥ 365x1+ 2x2≤ 502x1+ 6x2≥ 60x1≥ 0, x2≥ 0c)3x1+ 3x2≤ 365x1+ 2x2≤ 502x1+ 6x2≤ 60x1≥ 0, x2≥ 0d)none of theseCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A firm makes two types of products: Type A and Type B. The profit on product A is Rs. 20 each and that on product B is Rs. 30 each. Both types are processed on three machines M1, M2 and M3. The time required in hour by each product and total time available in hours per week on each machine are asa follows:Machine Product A Product B Available TimeM1 3 3 36M2 5 2 50M3 2 6 60The constraints can be formulated taking x1= number of units A and x2= number of unit of B asa)x1+ x2≤ 125x1+ 2x2≤ 502x1+ 6x2≤ 60b)3x1+ 3x2≥ 365x1+ 2x2≤ 502x1+ 6x2≥ 60x1≥ 0, x2≥ 0c)3x1+ 3x2≤ 365x1+ 2x2≤ 502x1+ 6x2≤ 60x1≥ 0, x2≥ 0d)none of theseCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A firm makes two types of products: Type A and Type B. The profit on product A is Rs. 20 each and that on product B is Rs. 30 each. Both types are processed on three machines M1, M2 and M3. The time required in hour by each product and total time available in hours per week on each machine are asa follows:Machine Product A Product B Available TimeM1 3 3 36M2 5 2 50M3 2 6 60The constraints can be formulated taking x1= number of units A and x2= number of unit of B asa)x1+ x2≤ 125x1+ 2x2≤ 502x1+ 6x2≤ 60b)3x1+ 3x2≥ 365x1+ 2x2≤ 502x1+ 6x2≥ 60x1≥ 0, x2≥ 0c)3x1+ 3x2≤ 365x1+ 2x2≤ 502x1+ 6x2≤ 60x1≥ 0, x2≥ 0d)none of theseCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A firm makes two types of products: Type A and Type B. The profit on product A is Rs. 20 each and that on product B is Rs. 30 each. Both types are processed on three machines M1, M2 and M3. The time required in hour by each product and total time available in hours per week on each machine are asa follows:Machine Product A Product B Available TimeM1 3 3 36M2 5 2 50M3 2 6 60The constraints can be formulated taking x1= number of units A and x2= number of unit of B asa)x1+ x2≤ 125x1+ 2x2≤ 502x1+ 6x2≤ 60b)3x1+ 3x2≥ 365x1+ 2x2≤ 502x1+ 6x2≥ 60x1≥ 0, x2≥ 0c)3x1+ 3x2≤ 365x1+ 2x2≤ 502x1+ 6x2≤ 60x1≥ 0, x2≥ 0d)none of theseCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A firm makes two types of products: Type A and Type B. The profit on product A is Rs. 20 each and that on product B is Rs. 30 each. Both types are processed on three machines M1, M2 and M3. The time required in hour by each product and total time available in hours per week on each machine are asa follows:Machine Product A Product B Available TimeM1 3 3 36M2 5 2 50M3 2 6 60The constraints can be formulated taking x1= number of units A and x2= number of unit of B asa)x1+ x2≤ 125x1+ 2x2≤ 502x1+ 6x2≤ 60b)3x1+ 3x2≥ 365x1+ 2x2≤ 502x1+ 6x2≥ 60x1≥ 0, x2≥ 0c)3x1+ 3x2≤ 365x1+ 2x2≤ 502x1+ 6x2≤ 60x1≥ 0, x2≥ 0d)none of theseCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice CA Foundation tests.
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