The bordered Hessian determinant for the problem: Maximize U = XY + X, subject to. 6X + 2Y =110 is
Tap an option to check your answer.
UoH 2011 Question 43: Constrained optimisation and linear programming
Answer and worked solution
Checking your account…
Constrained optimisation and linear programming has come up 44 times in 7 exams since 2007.
What this question tests
This question is on Inequality constraints, second-order conditions and envelope theorem, part of Constrained optimisation and linear programming in Mathematics.
Optima with inequality constraints, tests for maxima, and how the optimal value changes with parameters.
TestStop has 8 past-paper questions on this subtopic; the nearest in year are below.
Similar questions from other papers
- Consider the following statement in context of Linear Programming Problem (LPP). A. It has an objective function. B. It allows negative values of decision variable…
- The maximum value of the objective function (x+y) subject to the constraint (x²+y²)=2 is (*in integer*).
- Arrange the following steps in the proper sequence concerning the solution of a linear programming problem: (A) Graph each constraint as though it were binding, i.e.…
- Let f(x,y) = -x²-y²+2x+4y+5. Let (x*,y*) denote the solution to the following optimization problem: Maximize f(x,y) subject to x≥ 0, y≥ 0, 2x+y≤ 6 Then the value of…
- Match List-I with List-II. | List-I | List-II | A. Slack Variable | I. Best of all feasible solutions | B. Surplus Variable | II. Solution violating at least one…
Question from the UoH 2011 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.