Subject To 2) 2.0 X1 + 1.0 X2

Based on the above computer output, answer the following questions.

1) How many units of each product should be produced in order to maximize the profit contribution? What is the projected profit?

2) What are required labor hours in each design for the above production and the slack hours in each department?

3) This company is going to hire a new full-time employee and assign this person to Department B to increase production. Do you think this decision can help this company? Explain why or why not to justify your answer.

4) Formulate the dual form of the above problem.

5) Find the dual optimal solution, including the optimal function value and the optimal value of all the dual variables.

The ABC Manufacturing Company makes two products. The profit estimates are $5 for each unit of product i sold and $4 for each unit of product 2 sold. The labor-hour requirements for the products in each of three production departments are summarized below: Department A Department B Department C labor-hour requirements (hr) product 1 product 2 1.50 3.00 2.00 3.00 1.00 1.00 labor-hour availability 450 350 200 Assuming that the company is interested in maximizing profits, the following LP formulation and LINDO computer output are giver: Let X. = units of product 1 X2 = units of product 2 WAX 5 X-4 X2 LP OPTIMUM FOUND AT STEP OBJECTIVE FUNCITON VALUE 950 000 0 0 VZRIABLE REDUCED COSI 50. DIDIO DOO 1000000 SINCERE SURPLUS DUE... PRICES 0 0 0 0 0 0 0 es G D 1 600 COLO ITEPATBss