HW 2_2023

Problem 6 Please graph the feasibility region for this problem in a separate file; we will review your graph of the feasible region. The value of X 1 at the optimal solution = 12 The value of X 2 at the optimal solution = 4 The value of the objective function at the optimal solution = 52 at corner point (12,4) Problem 11 Please graph the feasibility region for this problem in a separate file; we will review your graph of the feasible region. Comment on this problem: The feasible region for the first two constraints falls on the left side, and the third constraint falls on the right side therefore it has no feasible solution.

Problem 13 a. Please enter your formulation of this LP model below. MAX: 6X 1 + 4.5X 2 Subject to: (leather constraint) 5X 1 + 4X 2 <= 6000 (Nylon Constraint) 6X 1 + 3X 2 <= 5400 (Core Constraint) 4X 1 + 2X 2 <= 4000 (Labor Constraint) 2.5X 1 + 2X 2 <= 3500 (Stitching Constraint) X 1 + X 2 <= 1500 X 1 , X 2 >= 0 b. Please graph the feasibility region for this problem in a separate file; we will review your graph of the feasible region. c. Please complete the following. The value of X 1 at the optimal solution = 400 The value of X 2 at the optimal solution = 1000 The value of the objective function at the optimal solution = $6,900 Problem 16 a. Please enter your formulation of this LP model below.\ X 1 = number of propane grills to produce X 2 = number of electric grills to produce MAX: 100X 1 + 80X 2 Subject to: (Machine Press) 5X 1 + 4X 2 <= 6000 (Fabrication) 6X 1 + 3X 2 <= 5400 (Assembly) 4X 1 + 2X 2 <= 4000 (Testing) X 1 + X 2 <= 1500 X 1 , X 2 >= 0 b. Please graph the feasibility region for this problem in a separate file; we will review your graph of the feasible region.