Question 1
A linear programming problem has three constraints:
2X + 10Y ≤ 1004X + 6Y ≤ 1206X + 3Y ≥ 90
What is the largest quantity of X that can be made without violating any of these constraints?
◦ 50
◦ 20
◦ 15
◦ 30
◦ 10
Question 2
A maximizing linear programming problem with constraints C1, C2, and C3 has been solved. The dual values associated with the problem are C1 = $2, C2 = $0.50, and C3 = $0. Which statement below is
false?
◦ The resource in C3 has not been used up.
◦ One more unit of the resource in C2 would add one more unit each of X and Y.
◦ The resource in C2 must be used up first.
◦ One more unit of the resource in C1 would add $2 to the objective function value.
◦ The resources in C1 and in C2, but not in C3, are scarce.
Sample Problem from Raven’s Progressive Matrices
How to determine the x- and y- intercepts of a linear equation
Cubic solved
Genetics problem solved
Problem
Problem