Your company produces electronic connectors, which consist of a metal strip with multiple prongs assembled into a plastic housing. The manufacturing process is divided into four separate departments: 1) Injection molding, where the small plastic housings are produced; 2) Stamping, where the steel strips are punched out of thin coils of steel; 3) Plating, where the steel strips, after being stamped, are plated with tin or gold; and 4) Assembly, where the plated strips are inserted into the plastic housing.
The injection molding machines together have the capacity to produce 4000 plastic housing per hour. The firm's stamping presses can punch out 3000 steel strips per hour. The plating department has two dedicated lines—one for tin-plating and the other for the slower gold-plating process. The tin-plating line has a capacity of 2000 units per hour; the gold-plating line has a capacity of 500 units per hour. In the assembly department, there are six automated assembly machines, each with the capacity to assemble 400 connectors per hour.
Assume that machines never break down, and assume that there is sufficient plastic and steel raw material so that raw material availability never constrains the process. Assume that the plant is only running the tin-plated product—the gold-plating line is completely idle.
1) Now assume that the plant runs the gold-plated as well as tin-plated process, and the operating policy is that 20% of all units produced during any day must be gold-plated connectors. How many gold-plated connectors could be produced in one eight-hour shift?
Answer:
If we have a tendency to add the gold and tin plating output along the output is 2500 units/hr, that is bigger than the assembly method (capacity of 2400 units/hr) will handle. so the bottleneck is the assembly method. we all know from the question that 20% of 2400 units can have to be compelled to be gold plated = 480 units/hr. Note that this can be but the capability of five hundred units/ hour, therefore the arrangement is possible. 480 units/hr * 8 hrs = 3840 units/ 8-hr shift.
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