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Quizzes

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Exam:
9656 quizzes
What is the value of Z = 4x + 5y at the point (3, 2)? New
High School (11–12) · Linear Programming
Board Exam
StemPy LabStemPy Lab
Easy
A bounded region has corners (0, 0), (4, 0), (3, 3) and (0, 2). What is the maximum of Z = 2x + y over it? New
High School (11–12) · Linear Programming
Board Exam
StemPy LabStemPy Lab
Easy
Which statement is true for a bounded feasible region and the objective function Z = ax + by? New
High School (11–12) · Linear Programming
Board Exam
StemPy LabStemPy Lab
Easy
The figure shows a feasible region with five corners. Z = 4x + 3y is to be maximised. At which corner is Z the largest? New
High School (11–12) · Linear Programming
Board ExamCUET UG
StemPy LabStemPy Lab
Medium
A triangle has corners (0, 0), (4, 0) and (0, 6). What is the minimum of Z = 3x - y over it? New
High School (11–12) · Linear Programming
Board ExamCUET UG
StemPy LabStemPy Lab
Medium
A student finds the two corners (5, 0) and (0, 5) of the region x + y ≥ 5, x ≥ 0, y ≥ 0. The student wants to minimise Z = x + 2y. What is the correct conclusion? New
High School (11–12) · Linear Programming
Board ExamCUET UG
StemPy LabStemPy Lab
Medium
A student says that Z = x + 2y is largest at the corner (0, 5) of the region x + y ≥ 5, x ≥ 0, y ≥ 0, because Z = 10 there. Is the student right? New
High School (11–12) · Linear Programming
Board ExamCUET UG
StemPy LabStemPy Lab
Medium
A region has corners (0, 0), (6, 0), (6, 2), (3, 5) and (0, 5). The objective is Z = x + y, to be maximised. Which statement is correct? New
High School (11–12) · Linear Programming
Board ExamBITSATCUET UG
StemPy LabStemPy Lab
Hard
A student wants to maximise 3x + 2y with the rules x + y ≥ 4 and x + 3y ≤ 12 using linprog, with x, y ≥ 0. Which call is right? New
High School (11–12) · Linear Programming
Board ExamBITSATCUET UG
StemPy LabStemPy Lab
Hard
A region has corners (0, 0), (8, 0), (5, 3) and (0, 6). For which value of k does Z = 2x + ky reach its maximum at both (8, 0) and (5, 3)? New
High School (11–12) · Linear Programming
Board ExamBITSATCUET UG
StemPy LabStemPy Lab
Hard
A tailor makes x shirts and y pairs of trousers. A shirt needs 2 m of cloth and a pair of trousers needs 3 m. The tailor has 60 m of cloth. Which inequality shows the cloth limit? New
High School (11–12) · Linear Programming
Board Exam
StemPy LabStemPy Lab
Easy
A meal must give at least 21 units of vitamin. Food A gives 3 units per kilogram and food B gives 2 units per kilogram. With x kg of A and y kg of B, which inequality is the vitamin rule? New
High School (11–12) · Linear Programming
Board Exam
StemPy LabStemPy Lab
Easy
Why does a factory problem include the conditions x ≥ 0 and y ≥ 0? New
High School (11–12) · Linear Programming
Board Exam
StemPy LabStemPy Lab
Easy
A plan has the corners (0, 0), (9, 0), (6, 4) and (0, 7). A unit of the first product earns 13 dollars and a unit of the second earns 14 dollars. What is the largest profit? New
High School (11–12) · Linear Programming
Board ExamCUET UG
StemPy LabStemPy Lab
Medium
A diet has an unbounded feasible region with corners (0, 12), (2, 5) and (9, 0). Food A costs 5 rupees a kilogram and food B costs 2 rupees. What is the lowest cost, given that the prices are positive? New
High School (11–12) · Linear Programming
Board ExamCUET UG
StemPy LabStemPy Lab
Medium
The figure shows the allowed amounts, in kilograms, of products A and B. Each kilogram of A earns 7 pounds and each kilogram of B earns 9 pounds. At which corner is the profit the greatest? New
High School (11–12) · Linear Programming
Board ExamCUET UG
StemPy LabStemPy Lab
Medium
Shop S1 needs 24 crates. Depot D1 sends it x crates and depot D2 sends the rest. Which statement gives the crates from D2 and the condition on x? New
High School (11–12) · Linear Programming
Board ExamCUET UG
StemPy LabStemPy Lab
Medium
The best corner of a problem about whole vases is (4.4, 2.6). A planner rounds it to (4, 3). Which statement is correct? New
High School (11–12) · Linear Programming
Board ExamBITSATCUET UG
StemPy LabStemPy Lab
Hard
The diet region in the figure has corners (0, 12), (2, 4) and (10, 0). Food B costs 6 rupees a kilogram, and food A costs p rupees. For which p do the plans (2, 4) and (10, 0) cost the same? New
High School (11–12) · Linear Programming
Board ExamBITSATCUET UG
StemPy LabStemPy Lab
Hard
A trust invests x lakh rupees in bonds and y lakh rupees in shares. It can invest at most 20 lakh rupees in all, at most 12 lakh rupees in shares, and at least 5 lakh rupees in bonds. Bonds return 7 thousand rupees and shares return 11 thousand rupees for each lakh a year. What is the largest yearly return? New
High School (11–12) · Linear Programming
Board ExamBITSATCUET UG
StemPy LabStemPy Lab
Hard
Solve -3x + 4 ≤ 16 for x. New
High School (11–12) · Linear Inequalities, Linear Programming
Board Exam
StemPy LabStemPy Lab
Easy
Which of these points lies in the region 5x + 2y ≤ 20? New
High School (11–12) · Linear Inequalities, Linear Programming
Board Exam
StemPy LabStemPy Lab
Easy
The inequality 4x + 3y > 12 is graphed. How is its boundary line drawn? New
High School (11–12) · Linear Inequalities, Linear Programming
Board Exam
StemPy LabStemPy Lab
Easy
For which of these inequalities is the origin a poor choice of test point? New
High School (11–12) · Linear Inequalities, Linear Programming
Board ExamSATCUET UGSAT
StemPy LabStemPy Lab
Medium
A solid line is drawn through (6, 0) and (0, 3), and the region on the side away from the origin is shaded. Which inequality does the shading show? New
High School (11–12) · Linear Inequalities, Linear Programming
Board ExamSATCUET UGSAT
StemPy LabStemPy Lab
Medium
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