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  1. Problems
  2. /Algebra
  3. /Linear Programming

Linear Programming

Mathematics
+ Upload a Problem
More in AlgebraLinear Equations in Two VariablesPairs of Linear EquationsPolynomialsAlgebraic Identities and FactorisationQuadratic EquationsSequences and SeriesLinear InequalitiesComplex NumbersPermutations and CombinationsBinomial TheoremMatrices and DeterminantsLinear Programming
30 problems
Exam:
Type:
1.
A potter makes x bowls and y vases in a week, both in whole numbers… New
High School (11–12) · Linear ProgrammingBoard ExamBITSATCUET UGStemPy LabStemPy Lab
Hard
2.
A school invests up to 50 thousand pounds in two plans… New
High School (11–12) · Linear ProgrammingBoard ExamCUET UGStemPy LabStemPy Lab
Medium
3.
Warehouse W1 holds 60 units and warehouse W2 holds 40 units… New
High School (11–12) · Linear ProgrammingBoard ExamBITSATCUET UGStemPy LabStemPy Lab
Hard
4.
Depot D1 holds 35 crates and depot D2 holds 45 crates… New
High School (11–12) · Linear ProgrammingBoard ExamCUET UGStemPy LabStemPy Lab
Medium
5.
A diet needs at least 10 units of fibre and at least 15 units of iron… New
High School (11–12) · Linear ProgrammingBoard ExamBITSATCUET UGStemPy LabStemPy Lab
Hard
6.
A shopper mixes two packs, A and B. A pack of A has 2 units of protein, 3 units of calcium and 1… New
High School (11–12) · Linear ProgrammingBoard ExamCUET UGStemPy LabStemPy Lab
Medium
7.
A hospital kitchen mixes two foods, P and Q… New
High School (11–12) · Linear ProgrammingBoard ExamStemPy LabStemPy Lab
Easy
8.
A small factory makes bicycles and scooters… New
High School (11–12) · Linear ProgrammingBoard ExamBITSATCUET UGStemPy LabStemPy Lab
Hard
9.
A baker has 60 kg of flour and 40 kg of sugar… New
High School (11–12) · Linear ProgrammingBoard ExamCUET UGStemPy LabStemPy Lab
Medium
10.
A toy maker builds cars and trains. A car needs 2 hours on the moulding machine and 1 hour on the… New
High School (11–12) · Linear ProgrammingBoard ExamStemPy LabStemPy Lab
Easy
11.
A firm makes x batches of product P and y batches of product Q… New
High School (11–12) · Linear ProgrammingBoard ExamBITSATCUET UGStemPy LabStemPy Lab
Hard
12.
Maximise Z = 6x + 4y subject to 3x + 2y ≤ 24, x ≤ 6, y ≤ 9, x ≥ 0 and y ≥ 0… New
High School (11–12) · Linear ProgrammingBoard ExamCUET UGStemPy LabStemPy Lab
Medium
13.
A problem has the rules x + 2y ≤ 6 and 2x + y ≥ 14, with x ≥ 0 and y ≥ 0… New
High School (11–12) · Linear ProgrammingBoard ExamStemPy LabStemPy Lab
Easy
14.
Minimise Z = 4x + 3y subject to 2x + y ≥ 8, x + 3y ≥ 9, x ≥ 0 and y ≥ 0… New
High School (11–12) · Linear ProgrammingBoard ExamCUET UGStemPy LabStemPy Lab
Medium
15.
A region is given by x + y ≥ 4, x ≥ 0 and y ≥ 0… New
High School (11–12) · Linear ProgrammingBoard ExamBITSATCUET UGStemPy LabStemPy Lab
Hard
16.
Use the same region as in the last problem: x + 2y ≥ 8, 3x + y ≥ 9, x ≥ 0, y ≥ 0, with corners (0… New
High School (11–12) · Linear ProgrammingBoard ExamCUET UGStemPy LabStemPy Lab
Medium
17.
Minimise Z = 2x + 3y subject to x + 2y ≥ 8, 3x + y ≥ 9, x ≥ 0 and y ≥ 0… New
High School (11–12) · Linear ProgrammingBoard ExamStemPy LabStemPy Lab
Easy
18.
A region is given by x + 2y ≤ 10, 3x + y ≤ 15, x ≥ 0 and y ≥ 0… New
High School (11–12) · Linear ProgrammingBoard ExamBITSATCUET UGStemPy LabStemPy Lab
Hard
19.
A region is given by x + y ≤ 7, x ≥ 1 and y ≥ 2… New
High School (11–12) · Linear ProgrammingBoard ExamCUET UGStemPy LabStemPy Lab
Medium
20.
Maximise Z = 5x + 3y subject to x + y ≤ 8, x ≤ 6, x ≥ 0 and y ≥ 0… New
High School (11–12) · Linear ProgrammingBoard ExamStemPy LabStemPy Lab
Easy
21.
A machine shop makes two parts. At most 3 of the first part can be made, so x ≤ 3, and at most 3 of… New
High School (11–12) · Linear Inequalities, Linear ProgrammingBoard ExamSATBITSAT+1SATStemPy LabStemPy Lab
Hard
22.
A region is given by x + y ≤ 8, x + 3y ≤ 18, 3x + y ≤ 18, x ≥ 0 and y ≥ 0… New
High School (11–12) · Linear Inequalities, Linear ProgrammingBoard ExamSATCUET UGSATStemPy LabStemPy Lab
Medium
23.
Two boundary lines of a feasible region are 2x + y = 14 and x + 3y = 17… New
High School (11–12) · Linear Inequalities, Linear ProgrammingBoard ExamStemPy LabStemPy Lab
Easy
24.
A region is given by x + y ≥ 5, x - y ≤ 3, x ≥ 0 and y ≥ 0… New
High School (11–12) · Linear Inequalities, Linear ProgrammingBoard ExamSATBITSAT+1SATStemPy LabStemPy Lab
Hard
25.
A small bakery has two rules for a day. The oven holds at most 4 trays in all, so x + y ≤ 4… New
High School (11–12) · Linear Inequalities, Linear ProgrammingBoard ExamSATBITSAT+1SATStemPy LabStemPy Lab
Hard
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