Which of the following is not part of a linear programming model?

1.   ?    Decision variables
2.   ?    Constraints
3.   ?    Uncontrollable event
4.   ?    Objective function

When solving a linear programming problem graphically, what do the two axes represent?

1.   ?    The decision variables
2.   ?    The limiting factors
3.   ?    Profit and Quantity
4.   ?    The constraints

Which of the following is not necessarily true? The optimal solution of a linear programming problem lies:

1.   ?    Within the feasible region
2.   ?    At the intersection of the two constraint lines
3.   ?    At a corner point of the feasible region
4.   ?    Where the objective function is maximized or minimized

A company makes two products, A and B using two limited resources, paper and glue. Each unit of product A requires 50g of paper and 10ml of glue and each unit of product B requires 75g of paper and 20ml of glue. The company has 800g of paper and 200ml of glue available each day and makes £1 profit on each unit of A and £1.75 on each unit of B. Express the objective function of a linear programming problem to maximise profit in terms of the number of units of A and B, x and y made in a day.

1.   ?    50A + 10B
2.   ?    50A + 75B
3.   ?    10A + 20B
4.   ?    A + 2B

Assuming a linear programming model has two constraints 50x + 75y ≤ 800 and 10x + 20y ≤ 200, which values of x and y fall at the intersection of the two constraint lines?

1.   ?    x = 4, y = 8
2.   ?    x = 16, y = 0
3.   ?    x = 0, y = 10
4.   ?    x = 2, y = 9

Assuming a linear programming model has two constraints 50x + 75y ≤ 800 and 10x + 20y ≤ 200, an objective function x + 1.75y and both x and y must be positive, find the values of x and y which will give rise to the maximum value of the objective function.

1.   ?    x = 0, y = 10
2.   ?    x = 4, y = 8
3.   ?    x = 16, y = 0
4.   ?    x = 2, y = 9

What is meant by an infeasible linear programming model?

1.   ?    There is a unique solution to the problem
2.   ?    The objective function is minimized rather than maximized
3.   ?    There are an infinite number of optimal solutions
4.   ?    There are no values of the decision variables which satisfy all the constraints.

Which tool in Excel can be used to solve a linear programming problem?

1.   ?    COUNTIF function
2.   ?    Data Analysis tool
3.   ?    Solver tool
4.   ?    COMPLEX function

Which of the following statements is not true?

1.   ?    A constraint is binding when all of the corresponding resource is used up at the optimal solution
2.   ?    When a constraint is binding there is zero slack
3.   ?    When a constraint is binding there is an amount of the resource left over
4.   ?    When a constraint is binding the resource is fully utilized

Which of the following is not produced by Excel’s Solver tool?

1.   ?    Limits report
2.   ?    Data report
3.   ?    Answer report
4.   ?    Sensitivity report