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Maths (commerce) Solve the Following Question.(3 Marks)

Linear Programming (p-2) · Maharashtra Board STD 12 Commerce / Arts (MSBSHSE - English Medium). 3 questions.

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Solve the Following Question.(3 Marks)

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3 questions · self-marked practice — reveal the answer and mark yourself.

Question 13 Marks
If John drives a car at a speed of 60 kms/hour he has to spend ₹ 5 per km on petrol. If he drives at a faster speed of 90 km/ hour, the cost of petrol increases to ₹ 8 per km. He has ₹ 600 to spend on petrol and wishes to travel the maximum distance within an hour. Formulate the above problem as LPP.
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Question 23 Marks
Manufacture produces bulbs and tubes. Each of these must be processed through two machines $M _1$ and $M _2 . A$ package of bulbs requires $1$ hour of work on machine $M_1$ and $3$ hours of work on $M_2$. A package of tubes requires $2$ hours on machine $M _1$ and 4 hours on machine $M _2$. He earns a profit of $₹ 13.5$ per package of bulbs and $₹ 55$ per package of tubes. Formulate the LPP to maximize the profit. He operates $M_1$ for at most $10$ hours and $M_2$ for at mos $12$ hours a day.
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Question 33 Marks
A printing company prints two types of magazines A and B. The company earns ₹ 10 and ₹ 15 on magazines A and B per copy. These are processed on three machines I, II, III. Magazine A requires 2 hours on the machine I, 5 hours on machine II, and 2 hours on machine III. Magazine B requires 3 hours on machine 1, 2 hours on machine II and 6 hours on machine III. Machines I, II, III are available for 36, 50, 60 hours per week respective. Formulate the linear programming problem to maximize the profit.
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