In this problem, all interarrival and service times areexponential. a At present, the finance department and the market-ing department each have one typist. Each typist can type 25 letters per day. Finance requires that an averageof 20 letters per day be typed, and marketing requiresthat an average of 15 letters per day be typed. For each department, determine the average length of time elaps-ing between a request for a letter and completion of the letter.b Suppose that the two typists were grouped into atyping pool; that is, each typist would be available totype letters for either department. For this arrangement,calculate the average length of time between a requestfor a letter and completion of the letter.c Comment on the results of parts (a) and (b). d Under the pooled arrangement, what is the proba-bility that more than .200 day will elapse between a re-quest for a letter and completion of the letter?
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
In this problem, all interarrival and service times are
exponential.
a At present, the finance department and the market-
ing department each have one typist. Each typist can
type 25 letters per day. Finance requires that an average
of 20 letters per day be typed, and marketing requires
that an average of 15 letters per day be typed. For each
department, determine the average length of time elaps-
ing between a request for a letter and completion of the
letter.
b Suppose that the two typists were grouped into a
typing pool; that is, each typist would be available to
type letters for either department. For this arrangement,
calculate the average length of time between a request
for a letter and completion of the letter.
c Comment on the results of parts (a) and (b).
d Under the pooled arrangement, what is the proba-
bility that more than .200 day will elapse between a re-
quest for a letter and completion of the letter?
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