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A car manufacturing company manufactures cars of two types A and B. Model A requires 150 man-hours for assembling, 50 man-hours for painting and 10 man-hours for checking and testing. Model B requires 60 man-hours for assembling, 40 man-hours for painting and 20 man-hours for checking and testing. There are available 30 thousand man-hours for assembling, 13 thousand man-hours for checking and testing. Express the above situation using linear inequalities. Let the company manufacture x units of type A model of car and y units type B model of car. Then, the inequalities are:
- a)5x+2y ≥ 1000; 5x + 4y ≥ 1300,x+2y ≤ 500; x ≥ 0, y ≥ 0,
- b)5x + 2y ≤ 1000, 5x+4y ≤ 13000,x+2y ≥ 500; x ≥ 0, y ≥ 0.
- c)5x+2y ≤ 1,000, 5x+4y ≤ 1300,x+2y ≤ 500; x≥ 0, y≥ 0.
- d)5x + 2y = 1000, 5x+4y ≥ 1300,x+2y = 500; x≥ 0, y ≥ 0.
Correct answer is option 'C'. Can you explain this answer?
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A car manufacturing company manufactures cars of two types A and B. Mo...
1. Assembling constraint:
150x + 60y ≤ 30,000
This inequality represents the constraint that the total man-hours spent on assembling cars cannot exceed the available 30,000 man-hours.
2. Painting constraint:
50x + 40y ≤ M
The value of M is not given in the problem, but it represents the maximum number of man-hours available for painting cars. We cannot determine the value of M from the given information, so we leave it as an unknown constant.
3. Checking and testing constraint:
10x + 20y ≤ 13,000
This inequality represents the constraint that the total man-hours spent on checking and testing cars cannot exceed the available 13,000 man-hours.
4. Non-negative constraint:
x ≥ 0, y ≥ 0
This inequality represents the fact that the company cannot manufacture negative units of cars.
5. Integer constraint:
x, y ∈ ℤ
This inequality represents the fact that the company can only manufacture integer units of cars, and not fractional units.
Putting all the above inequalities together, we get the following set of linear inequalities:
150x + 60y ≤ 30,000
50x + 40y ≤ M
10x + 20y ≤ 13,000
x ≥ 0, y ≥ 0
x, y ∈ ℤ
150x + 60y ≤ 30,000
This inequality represents the constraint that the total man-hours spent on assembling cars cannot exceed the available 30,000 man-hours.
2. Painting constraint:
50x + 40y ≤ M
The value of M is not given in the problem, but it represents the maximum number of man-hours available for painting cars. We cannot determine the value of M from the given information, so we leave it as an unknown constant.
3. Checking and testing constraint:
10x + 20y ≤ 13,000
This inequality represents the constraint that the total man-hours spent on checking and testing cars cannot exceed the available 13,000 man-hours.
4. Non-negative constraint:
x ≥ 0, y ≥ 0
This inequality represents the fact that the company cannot manufacture negative units of cars.
5. Integer constraint:
x, y ∈ ℤ
This inequality represents the fact that the company can only manufacture integer units of cars, and not fractional units.
Putting all the above inequalities together, we get the following set of linear inequalities:
150x + 60y ≤ 30,000
50x + 40y ≤ M
10x + 20y ≤ 13,000
x ≥ 0, y ≥ 0
x, y ∈ ℤ
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A car manufacturing company manufactures cars of two types A and B. Model A requires 150 man-hours for assembling, 50 man-hours for painting and 10 man-hours for checking and testing. Model B requires 60 man-hours for assembling, 40 man-hours for painting and 20 man-hours for checking and testing. There are available 30 thousand man-hours for assembling, 13 thousand man-hours for checking and testing. Express the above situation using linear inequalities. Let the company manufacture x units of type A model of car and y units type B model of car. Then, the inequalities are:a)5x+2y ≥ 1000; 5x + 4y ≥ 1300,x+2y ≤ 500; x ≥ 0, y ≥ 0,b)5x + 2y ≤ 1000, 5x+4y ≤ 13000,x+2y ≥ 500; x ≥ 0, y ≥ 0.c)5x+2y ≤ 1,000, 5x+4y ≤ 1300,x+2y ≤ 500; x≥ 0, y≥ 0.d)5x + 2y = 1000, 5x+4y ≥ 1300,x+2y = 500; x≥ 0, y ≥ 0.Correct answer is option 'C'. Can you explain this answer?
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A car manufacturing company manufactures cars of two types A and B. Model A requires 150 man-hours for assembling, 50 man-hours for painting and 10 man-hours for checking and testing. Model B requires 60 man-hours for assembling, 40 man-hours for painting and 20 man-hours for checking and testing. There are available 30 thousand man-hours for assembling, 13 thousand man-hours for checking and testing. Express the above situation using linear inequalities. Let the company manufacture x units of type A model of car and y units type B model of car. Then, the inequalities are:a)5x+2y ≥ 1000; 5x + 4y ≥ 1300,x+2y ≤ 500; x ≥ 0, y ≥ 0,b)5x + 2y ≤ 1000, 5x+4y ≤ 13000,x+2y ≥ 500; x ≥ 0, y ≥ 0.c)5x+2y ≤ 1,000, 5x+4y ≤ 1300,x+2y ≤ 500; x≥ 0, y≥ 0.d)5x + 2y = 1000, 5x+4y ≥ 1300,x+2y = 500; x≥ 0, y ≥ 0.Correct 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 car manufacturing company manufactures cars of two types A and B. Model A requires 150 man-hours for assembling, 50 man-hours for painting and 10 man-hours for checking and testing. Model B requires 60 man-hours for assembling, 40 man-hours for painting and 20 man-hours for checking and testing. There are available 30 thousand man-hours for assembling, 13 thousand man-hours for checking and testing. Express the above situation using linear inequalities. Let the company manufacture x units of type A model of car and y units type B model of car. Then, the inequalities are:a)5x+2y ≥ 1000; 5x + 4y ≥ 1300,x+2y ≤ 500; x ≥ 0, y ≥ 0,b)5x + 2y ≤ 1000, 5x+4y ≤ 13000,x+2y ≥ 500; x ≥ 0, y ≥ 0.c)5x+2y ≤ 1,000, 5x+4y ≤ 1300,x+2y ≤ 500; x≥ 0, y≥ 0.d)5x + 2y = 1000, 5x+4y ≥ 1300,x+2y = 500; x≥ 0, y ≥ 0.Correct 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 car manufacturing company manufactures cars of two types A and B. Model A requires 150 man-hours for assembling, 50 man-hours for painting and 10 man-hours for checking and testing. Model B requires 60 man-hours for assembling, 40 man-hours for painting and 20 man-hours for checking and testing. There are available 30 thousand man-hours for assembling, 13 thousand man-hours for checking and testing. Express the above situation using linear inequalities. Let the company manufacture x units of type A model of car and y units type B model of car. Then, the inequalities are:a)5x+2y ≥ 1000; 5x + 4y ≥ 1300,x+2y ≤ 500; x ≥ 0, y ≥ 0,b)5x + 2y ≤ 1000, 5x+4y ≤ 13000,x+2y ≥ 500; x ≥ 0, y ≥ 0.c)5x+2y ≤ 1,000, 5x+4y ≤ 1300,x+2y ≤ 500; x≥ 0, y≥ 0.d)5x + 2y = 1000, 5x+4y ≥ 1300,x+2y = 500; x≥ 0, y ≥ 0.Correct answer is option 'C'. Can you explain this answer?.
A car manufacturing company manufactures cars of two types A and B. Model A requires 150 man-hours for assembling, 50 man-hours for painting and 10 man-hours for checking and testing. Model B requires 60 man-hours for assembling, 40 man-hours for painting and 20 man-hours for checking and testing. There are available 30 thousand man-hours for assembling, 13 thousand man-hours for checking and testing. Express the above situation using linear inequalities. Let the company manufacture x units of type A model of car and y units type B model of car. Then, the inequalities are:a)5x+2y ≥ 1000; 5x + 4y ≥ 1300,x+2y ≤ 500; x ≥ 0, y ≥ 0,b)5x + 2y ≤ 1000, 5x+4y ≤ 13000,x+2y ≥ 500; x ≥ 0, y ≥ 0.c)5x+2y ≤ 1,000, 5x+4y ≤ 1300,x+2y ≤ 500; x≥ 0, y≥ 0.d)5x + 2y = 1000, 5x+4y ≥ 1300,x+2y = 500; x≥ 0, y ≥ 0.Correct 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 car manufacturing company manufactures cars of two types A and B. Model A requires 150 man-hours for assembling, 50 man-hours for painting and 10 man-hours for checking and testing. Model B requires 60 man-hours for assembling, 40 man-hours for painting and 20 man-hours for checking and testing. There are available 30 thousand man-hours for assembling, 13 thousand man-hours for checking and testing. Express the above situation using linear inequalities. Let the company manufacture x units of type A model of car and y units type B model of car. Then, the inequalities are:a)5x+2y ≥ 1000; 5x + 4y ≥ 1300,x+2y ≤ 500; x ≥ 0, y ≥ 0,b)5x + 2y ≤ 1000, 5x+4y ≤ 13000,x+2y ≥ 500; x ≥ 0, y ≥ 0.c)5x+2y ≤ 1,000, 5x+4y ≤ 1300,x+2y ≤ 500; x≥ 0, y≥ 0.d)5x + 2y = 1000, 5x+4y ≥ 1300,x+2y = 500; x≥ 0, y ≥ 0.Correct 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 car manufacturing company manufactures cars of two types A and B. Model A requires 150 man-hours for assembling, 50 man-hours for painting and 10 man-hours for checking and testing. Model B requires 60 man-hours for assembling, 40 man-hours for painting and 20 man-hours for checking and testing. There are available 30 thousand man-hours for assembling, 13 thousand man-hours for checking and testing. Express the above situation using linear inequalities. Let the company manufacture x units of type A model of car and y units type B model of car. Then, the inequalities are:a)5x+2y ≥ 1000; 5x + 4y ≥ 1300,x+2y ≤ 500; x ≥ 0, y ≥ 0,b)5x + 2y ≤ 1000, 5x+4y ≤ 13000,x+2y ≥ 500; x ≥ 0, y ≥ 0.c)5x+2y ≤ 1,000, 5x+4y ≤ 1300,x+2y ≤ 500; x≥ 0, y≥ 0.d)5x + 2y = 1000, 5x+4y ≥ 1300,x+2y = 500; x≥ 0, y ≥ 0.Correct answer is option 'C'. Can you explain this answer?.
Solutions for A car manufacturing company manufactures cars of two types A and B. Model A requires 150 man-hours for assembling, 50 man-hours for painting and 10 man-hours for checking and testing. Model B requires 60 man-hours for assembling, 40 man-hours for painting and 20 man-hours for checking and testing. There are available 30 thousand man-hours for assembling, 13 thousand man-hours for checking and testing. Express the above situation using linear inequalities. Let the company manufacture x units of type A model of car and y units type B model of car. Then, the inequalities are:a)5x+2y ≥ 1000; 5x + 4y ≥ 1300,x+2y ≤ 500; x ≥ 0, y ≥ 0,b)5x + 2y ≤ 1000, 5x+4y ≤ 13000,x+2y ≥ 500; x ≥ 0, y ≥ 0.c)5x+2y ≤ 1,000, 5x+4y ≤ 1300,x+2y ≤ 500; x≥ 0, y≥ 0.d)5x + 2y = 1000, 5x+4y ≥ 1300,x+2y = 500; x≥ 0, y ≥ 0.Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CA Foundation.
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Here you can find the meaning of A car manufacturing company manufactures cars of two types A and B. Model A requires 150 man-hours for assembling, 50 man-hours for painting and 10 man-hours for checking and testing. Model B requires 60 man-hours for assembling, 40 man-hours for painting and 20 man-hours for checking and testing. There are available 30 thousand man-hours for assembling, 13 thousand man-hours for checking and testing. Express the above situation using linear inequalities. Let the company manufacture x units of type A model of car and y units type B model of car. Then, the inequalities are:a)5x+2y ≥ 1000; 5x + 4y ≥ 1300,x+2y ≤ 500; x ≥ 0, y ≥ 0,b)5x + 2y ≤ 1000, 5x+4y ≤ 13000,x+2y ≥ 500; x ≥ 0, y ≥ 0.c)5x+2y ≤ 1,000, 5x+4y ≤ 1300,x+2y ≤ 500; x≥ 0, y≥ 0.d)5x + 2y = 1000, 5x+4y ≥ 1300,x+2y = 500; x≥ 0, y ≥ 0.Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A car manufacturing company manufactures cars of two types A and B. Model A requires 150 man-hours for assembling, 50 man-hours for painting and 10 man-hours for checking and testing. Model B requires 60 man-hours for assembling, 40 man-hours for painting and 20 man-hours for checking and testing. There are available 30 thousand man-hours for assembling, 13 thousand man-hours for checking and testing. Express the above situation using linear inequalities. Let the company manufacture x units of type A model of car and y units type B model of car. Then, the inequalities are:a)5x+2y ≥ 1000; 5x + 4y ≥ 1300,x+2y ≤ 500; x ≥ 0, y ≥ 0,b)5x + 2y ≤ 1000, 5x+4y ≤ 13000,x+2y ≥ 500; x ≥ 0, y ≥ 0.c)5x+2y ≤ 1,000, 5x+4y ≤ 1300,x+2y ≤ 500; x≥ 0, y≥ 0.d)5x + 2y = 1000, 5x+4y ≥ 1300,x+2y = 500; x≥ 0, y ≥ 0.Correct answer is option 'C'. Can you explain this answer?, a detailed solution for A car manufacturing company manufactures cars of two types A and B. Model A requires 150 man-hours for assembling, 50 man-hours for painting and 10 man-hours for checking and testing. Model B requires 60 man-hours for assembling, 40 man-hours for painting and 20 man-hours for checking and testing. There are available 30 thousand man-hours for assembling, 13 thousand man-hours for checking and testing. Express the above situation using linear inequalities. Let the company manufacture x units of type A model of car and y units type B model of car. Then, the inequalities are:a)5x+2y ≥ 1000; 5x + 4y ≥ 1300,x+2y ≤ 500; x ≥ 0, y ≥ 0,b)5x + 2y ≤ 1000, 5x+4y ≤ 13000,x+2y ≥ 500; x ≥ 0, y ≥ 0.c)5x+2y ≤ 1,000, 5x+4y ≤ 1300,x+2y ≤ 500; x≥ 0, y≥ 0.d)5x + 2y = 1000, 5x+4y ≥ 1300,x+2y = 500; x≥ 0, y ≥ 0.Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of A car manufacturing company manufactures cars of two types A and B. Model A requires 150 man-hours for assembling, 50 man-hours for painting and 10 man-hours for checking and testing. Model B requires 60 man-hours for assembling, 40 man-hours for painting and 20 man-hours for checking and testing. There are available 30 thousand man-hours for assembling, 13 thousand man-hours for checking and testing. Express the above situation using linear inequalities. Let the company manufacture x units of type A model of car and y units type B model of car. Then, the inequalities are:a)5x+2y ≥ 1000; 5x + 4y ≥ 1300,x+2y ≤ 500; x ≥ 0, y ≥ 0,b)5x + 2y ≤ 1000, 5x+4y ≤ 13000,x+2y ≥ 500; x ≥ 0, y ≥ 0.c)5x+2y ≤ 1,000, 5x+4y ≤ 1300,x+2y ≤ 500; x≥ 0, y≥ 0.d)5x + 2y = 1000, 5x+4y ≥ 1300,x+2y = 500; x≥ 0, y ≥ 0.Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A car manufacturing company manufactures cars of two types A and B. Model A requires 150 man-hours for assembling, 50 man-hours for painting and 10 man-hours for checking and testing. Model B requires 60 man-hours for assembling, 40 man-hours for painting and 20 man-hours for checking and testing. There are available 30 thousand man-hours for assembling, 13 thousand man-hours for checking and testing. Express the above situation using linear inequalities. Let the company manufacture x units of type A model of car and y units type B model of car. Then, the inequalities are:a)5x+2y ≥ 1000; 5x + 4y ≥ 1300,x+2y ≤ 500; x ≥ 0, y ≥ 0,b)5x + 2y ≤ 1000, 5x+4y ≤ 13000,x+2y ≥ 500; x ≥ 0, y ≥ 0.c)5x+2y ≤ 1,000, 5x+4y ≤ 1300,x+2y ≤ 500; x≥ 0, y≥ 0.d)5x + 2y = 1000, 5x+4y ≥ 1300,x+2y = 500; x≥ 0, y ≥ 0.Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice CA Foundation tests.
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