Larry's Wickets, Inc

question 94

Essay

Larry's Wickets, Inc. is producing two types of products: A and B. Both are produced at the same machining operation. Because of demand uncertainties, the operations manager obtained three demand forecasts (pessimistic, expected, and optimistic). The demand forecasts, batch sizes (units/batch), processing times (hr/unit), and setup times (hr/batch) follow.

The machines operate on two 8-hour shifts, 5 days per week, and 50 weeks per year. The manager wants to maintain a 20 percent capacity cushion.
a. What is the minimum number of hours required of the machining equipment for the next year?
b. How many hours of capacity can the company expect from each machine?
c. What is the minimum number of machines needed (assuming no reliance on short-term options)?
d. What is the maximum number of machines needed (assuming no reliance on short-term options)?

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Definitions:

Natural Log

A logarithm to the base e (where e is approximately 2.71828), used extensively in mathematical, economic, and scientific applications.

Risk Averter

An individual or entity that prefers to avoid uncertainty and potential losses when making investment or financial decisions.

Expected Value

In probability theory, it is the weighted average of all possible values of a random variable, with weights being the probabilities of each outcome.

Natural Log

The logarithm to the base e, where e is an irrational and transcendental constant approximately equal to 2.71828.