A company makes two products X and Y, using a single resource pool. The resource is available for 8 hours a day. The unit loads for X and Y are 15 and 30 minutes per unit, respectively. If the company decides to produce X only, calculate the hourly, and the daily capacity. Repeat the hourly and daily capacity calculation for product Y only, similarly (meaning that if this company was about to only produce Y, how many units per hour and per day it could produce? The company wishes to produce both products, but not at equal portions. 60% X’s and 40% Y’s is desired for production. At the indicated percentages, what is the daily capacity of this company?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section: Chapter Questions
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A company makes two products X and Y, using a single resource pool. The resource is available for 8 hours a day. The unit loads for X and Y are 15 and 30 minutes per unit, respectively.

If the company decides to produce X only, calculate the hourly, and the daily capacity.

Repeat the hourly and daily capacity calculation for product Y only, similarly (meaning that if this company was about to only produce Y, how many units per hour and per day it could produce?

The company wishes to produce both products, but not at equal portions. 60% X’s and 40% Y’s is desired for production. At the indicated percentages, what is the daily capacity of this company?

Hint 1: find the weighted unit load based on the given portions and apply that in the effective capacity formula.

Hint 2: It will be a mistake to allocate 60% of the available time to produce X. Rather, apply hint 1 to make sure the resulting production will be 60% from X units and 40% from Y’s.

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