GATE Exam > GATE Questions > Two models, P and Q, of a product earn profit...
Start Learning for Free
Two models, P and Q, of a product earn profits of Rs. 100 and Rs. 80 per piece, respectively. Production times for P and Q are 5 hours and 3 hours, respectively, while the total production time available is 150 hours. For a total batch size of 40, to maximize profit, the number of units of P to be produced is ____________.
Correct answer is between '15,15'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Two models, P and Q, of a product earn profits of Rs. 100 and Rs. 80 p...
Let x1 = No. of units of P
x2 = No. of units of Q
x2 = No. of units of Q
So, for maximum profit, No. of units of P produced is 15 units.
Most Upvoted Answer
Two models, P and Q, of a product earn profits of Rs. 100 and Rs. 80 p...
Maximizing Profit for Models P and Q
Production times for models P and Q are 5 hours and 3 hours, respectively, with profits of Rs. 100 and Rs. 80 per piece.
Total Production Time and Batch Size
Total production time available is 150 hours, and the total batch size is 40 units.
Maximizing Profit Strategy
To maximize profit, we need to determine the number of units of P to be produced within the given constraints.
Calculating Production Capacity
Let x be the number of units of P to be produced. Since the total batch size is 40, the number of units of Q will be (40 - x).
Formulating Profit Equation
Total profit = Profit from P + Profit from Q
Total profit = 100x + 80(40 - x)
Total profit = 100x + 3200 - 80x
Total profit = 20x + 3200
Considering Production Time Constraint
Production time for P: 5 hours per unit
Production time for Q: 3 hours per unit
Total production time constraint: 5x + 3(40 - x) ≤ 150
5x + 120 - 3x ≤ 150
2x ≤ 30
x ≤ 15
Therefore, to maximize profit, the number of units of P to be produced is 15.
Production times for models P and Q are 5 hours and 3 hours, respectively, with profits of Rs. 100 and Rs. 80 per piece.
Total Production Time and Batch Size
Total production time available is 150 hours, and the total batch size is 40 units.
Maximizing Profit Strategy
To maximize profit, we need to determine the number of units of P to be produced within the given constraints.
Calculating Production Capacity
Let x be the number of units of P to be produced. Since the total batch size is 40, the number of units of Q will be (40 - x).
Formulating Profit Equation
Total profit = Profit from P + Profit from Q
Total profit = 100x + 80(40 - x)
Total profit = 100x + 3200 - 80x
Total profit = 20x + 3200
Considering Production Time Constraint
Production time for P: 5 hours per unit
Production time for Q: 3 hours per unit
Total production time constraint: 5x + 3(40 - x) ≤ 150
5x + 120 - 3x ≤ 150
2x ≤ 30
x ≤ 15
Therefore, to maximize profit, the number of units of P to be produced is 15.
|
Explore Courses for GATE exam
|
|
Similar GATE Doubts
Two models, P and Q, of a product earn profits of Rs. 100 and Rs. 80 per piece, respectively. Production times for P and Q are 5 hours and 3 hours, respectively, while the total production time available is 150 hours. For a total batch size of 40, to maximize profit, the number of units of P to be produced is ____________.Correct answer is between '15,15'. Can you explain this answer?
Question Description
Two models, P and Q, of a product earn profits of Rs. 100 and Rs. 80 per piece, respectively. Production times for P and Q are 5 hours and 3 hours, respectively, while the total production time available is 150 hours. For a total batch size of 40, to maximize profit, the number of units of P to be produced is ____________.Correct answer is between '15,15'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Two models, P and Q, of a product earn profits of Rs. 100 and Rs. 80 per piece, respectively. Production times for P and Q are 5 hours and 3 hours, respectively, while the total production time available is 150 hours. For a total batch size of 40, to maximize profit, the number of units of P to be produced is ____________.Correct answer is between '15,15'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two models, P and Q, of a product earn profits of Rs. 100 and Rs. 80 per piece, respectively. Production times for P and Q are 5 hours and 3 hours, respectively, while the total production time available is 150 hours. For a total batch size of 40, to maximize profit, the number of units of P to be produced is ____________.Correct answer is between '15,15'. Can you explain this answer?.
Two models, P and Q, of a product earn profits of Rs. 100 and Rs. 80 per piece, respectively. Production times for P and Q are 5 hours and 3 hours, respectively, while the total production time available is 150 hours. For a total batch size of 40, to maximize profit, the number of units of P to be produced is ____________.Correct answer is between '15,15'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Two models, P and Q, of a product earn profits of Rs. 100 and Rs. 80 per piece, respectively. Production times for P and Q are 5 hours and 3 hours, respectively, while the total production time available is 150 hours. For a total batch size of 40, to maximize profit, the number of units of P to be produced is ____________.Correct answer is between '15,15'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two models, P and Q, of a product earn profits of Rs. 100 and Rs. 80 per piece, respectively. Production times for P and Q are 5 hours and 3 hours, respectively, while the total production time available is 150 hours. For a total batch size of 40, to maximize profit, the number of units of P to be produced is ____________.Correct answer is between '15,15'. Can you explain this answer?.
Solutions for Two models, P and Q, of a product earn profits of Rs. 100 and Rs. 80 per piece, respectively. Production times for P and Q are 5 hours and 3 hours, respectively, while the total production time available is 150 hours. For a total batch size of 40, to maximize profit, the number of units of P to be produced is ____________.Correct answer is between '15,15'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of Two models, P and Q, of a product earn profits of Rs. 100 and Rs. 80 per piece, respectively. Production times for P and Q are 5 hours and 3 hours, respectively, while the total production time available is 150 hours. For a total batch size of 40, to maximize profit, the number of units of P to be produced is ____________.Correct answer is between '15,15'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Two models, P and Q, of a product earn profits of Rs. 100 and Rs. 80 per piece, respectively. Production times for P and Q are 5 hours and 3 hours, respectively, while the total production time available is 150 hours. For a total batch size of 40, to maximize profit, the number of units of P to be produced is ____________.Correct answer is between '15,15'. Can you explain this answer?, a detailed solution for Two models, P and Q, of a product earn profits of Rs. 100 and Rs. 80 per piece, respectively. Production times for P and Q are 5 hours and 3 hours, respectively, while the total production time available is 150 hours. For a total batch size of 40, to maximize profit, the number of units of P to be produced is ____________.Correct answer is between '15,15'. Can you explain this answer? has been provided alongside types of Two models, P and Q, of a product earn profits of Rs. 100 and Rs. 80 per piece, respectively. Production times for P and Q are 5 hours and 3 hours, respectively, while the total production time available is 150 hours. For a total batch size of 40, to maximize profit, the number of units of P to be produced is ____________.Correct answer is between '15,15'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Two models, P and Q, of a product earn profits of Rs. 100 and Rs. 80 per piece, respectively. Production times for P and Q are 5 hours and 3 hours, respectively, while the total production time available is 150 hours. For a total batch size of 40, to maximize profit, the number of units of P to be produced is ____________.Correct answer is between '15,15'. Can you explain this answer? tests, examples and also practice GATE tests.
|
|
Explore Courses for GATE exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup