Question: 14. If a manufacturing process takes 3 hours per unit of x and 5 hours per unit of y and a maximum of 100 hours

14. If a manufacturing process takes 3 hours per unit of x and 5 hours per unit of y and a maximum of 100 hours of manufacturing process time are available, then an algebraic formulation of this constraint is

a. 3x + 5y 100.

b. 3x + 5y 100.

c. 3x 5y 100.

d. 3x 5y 100.

15. Suppose a firm must at least meet minimum expected demands of 60 for product x and 80 of product y. An algebraic formulation of these constraints is

a. x 60, y 80.

b. x + y 140.

c. 60x + 80y 140.

d. x + y = 140.

17. Consider the following linear programming problem: Maximize 2x₁ + 4x₂ Subject to: x₁ + x₂ 5 x₁ + x₂ 8 x₁, x₂ 0 The above linear programming problem:

a. exhibits infeasibility.

b. exhibits unboundedness.

c. has more than one optimal solution.

d. has only one optimal solution.

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