The Shader Electronics Company produces two products: (1) the Shader Walkman, a portable CD/DVD player, and (2) the Shader Watch-TV, a wristwatch-size internet-connected color television. The production process for each product is similar in that both require a certain number of hours of electronic work and a certain number of labor hours in the assembly department. Each Walkman takes 8 hours of electronic work and 10 hours in the assembly shop. Each Watch-TV requires 16 hours in electronics and 5 hours in assembly. During the current production period, 32 hours of electronic time are available, and 25 hours of assembly department time are available.

Each Walkman sold yields a profit of $40; each Watch-TV produced may be sold for a $60 profit.

Formulate this problem as a linear programming problem to determine the best possible combination of Walkmans and Watch-TVs to manufacture to reach the maximum profit.

Use:

x = number of Walkmans to be produced

y = number of Watch-TVs to be produced

1. Interpret the problem given above; (a) determine the objective function (2 Marks) and (b) the constraints (3 Marks).

2. Write the problem in complete form and solve using a graphical method. (5 Marks)

3. Determine the value of each feasible point. (4 Marks).

4. Find the optimal solution. (1Mark)

Answer rating: 100% (QA)

1a Objective function The objective is to maximize the profit We are given that each Walkman yields ... View the full answer