Linear Programming - ISC Class 12 Mathematics Questions with Answers
26 past-paper questions on Linear Programming from ISC Class 12 Mathematics papers (2027-2017), newest first. Open one to see its answer.
- The feasible region determined by some constraints is represented by the shaded region in the graph given below: Formulate the… 2027 · 3 marks · Short answer
- An objective function $Z = ax + by$ is maximum at points $(8,10)$ and $(7,12)$. If $a, b \ge 0$ and $ab = 72$, then the maximum… 2027 · 1 mark · MCQ
- Statement I: Every Linear Programming Problem has at least one optimal solution. Statement II: If a Linear Programming Problem… 2027 · 1 mark · MCQ
- The feasible region for an L.P.P. is shown in the adjoining figure: Based on the given graph, answer the following questions… 2026 · 4 marks · Short answer
- Raunak is a small-scale entrepreneur who sells sewing machines in a rural market. He wants to expand his business but has two… 2026 · 4 marks · Short answer
- An ice-cream factory makes ice creams of two flavours: chocolate and mango. - Each chocolate ice cream needs 5 minutes of mixing… 2026 · 4 marks · Short answer
- A linear programming problem is given by $Z = px + qy$ where $p, q > 0$ subject to the constraints: $x + y \le 60$… 2026 · 4 marks · Short answer
- The feasible region for a Linear Programming Problem is shown in the following graph. Based on the given graph, answer the… 2026 · 4 marks · Short answer
- A linear programming problem (LPP) is given as: Maximize $Z = x + 2y$ subject to the constraints… 2025 · 4 marks · Long answer
- A linear programming problem is given by $Z = px + qy$ where $p, q > 0$ subject to the constraints… 2025 · 4 marks · Short answer
- A manufacturing company produces two types of cell phones, Android and iOS. The company has resources to make at the most 300… 2025 · 4 marks · Long answer
- A cooperative society of farmers has 50 hectares of land to grow two crops, X and Y. The profits from crops, X and Y per hectare… 2025 · 4 marks · Short answer
- Two different types of books have to be stacked in the shelf of a library. The first type of book weighs 1 kg and has a thickness… 2025 · 4 marks · Short answer
- The corner points of the feasible region determined by the system of linear constraints are as shown below: Answer the following… 2025 · 4 marks · Long answer
- Aman has ₹ 1500 to purchase rice and wheat for his grocery shop. Each sack of rice and wheat costs ₹ 180 and ₹ 120 respectively… 2024 · 4 marks · Short answer
- Solve the following linear programming problem graphically and interpret your result of $Z = 2x - 5y$ subject to the constraints… 2023 · 4 marks · Short answer
- The standard weight of a special purpose brick is $5\text{ kg}$ and it must contain two basic ingredients $B_1$ and $B_2$. $B_1$… 2023 · 4 marks · Short answer
- Solve the following Linear Programming Problem graphically: Maximise $Z = 5x + 2y$ subject to: $x - 2y \le 2$ $3x + 2y \le 12$… 2023 · 4 marks · Short answer
- A manufacturer wishes to produce two commodities A and B. The number of units of material, labour and equipment needed to produce… 2022 · 4 marks · Short answer
- A farm is engaged in breeding hens. The hens are fed products A and B grown in the farm which contains nutrients P, Q and R. One… 2021 · 4 marks · Short answer
- A carpenter has 90, 80 and 50 running feet respectively of teak wood, plywood and rosewood which is used to produce product A and… 2021 · 4 marks · Short answer
- A company uses three machines to manufacture two types of shirts, half sleeves and full sleeves. The number of hours required per… 2020 · 6 marks · Short answer
- A carpenter has 90, 80 and 50 running feet respectively of teak wood, plywood and rosewood which is used to produce product A and… 2019 · 6 marks · Drawing
- A toy company manufactures two types of dolls A and B. Market test and available resources have indicated that the combined… 2018 · 6 marks · Long answer
- A manufacturing company makes two types of teaching aids A and B of Mathematics for Class X. Each type of A requires 9 labour… 2018 · 6 marks · Short answer
- A farmer has a supply of chemical fertilizer of type A which contains 10% nitrogen and 6% phosphoric acid and of type B which… 2017 · 5 marks · Short answer
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