Given the following linear program,

Max Z= 3X + 2Y

St: (1) X + Y <= 7

(2) 2X + Y <= 10

(3) X, Y 0

answer the following questions. (You can solve it graphically or use Excel Solver)

Q1). What is the slope of constraint (2)? - (Since I already include the negative sign, you just need to enter the size (value) of the slope).

Q2). What is the optimal solution: X = ; Y = and objective function value

At the current optimal solution,

Multiple Choice

Only constraint (1) is active

Only constraint (2) is active

Both constraint (1) and constraint (2) are active

Neither constraint (1) nor constraint (2) is active.

The contour line slope of the objective function is _____ .

[Consider the absolute value of the slopes, i.e. ignore the sign, or higher value means steeper line.]

Multiple Choice

lower than the slope of constraint (1)

higher than the slope of constraint (2)

Higher than the slope of constraint (1) but lower than the slope of constraint (2)

Lower than the slope of constraint (1) but higher than the slope of constraint (2)