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A trash hauling company provides a special service of picking up and hauling away large trash items such as appliances, construction materials, furniture, etc. This service is provided once each week. If the number of tons of trash exceeds the capacity of the company on the day of the pickup, then the unmet demand for the trash removal is delayed until the following week. The company must schedule personnel hours each week for this service in a way that trades off the cost of idle personnel with the inconvenience to customers of having to wait an extra week for removal of their trash. The demand forecast for a typical week is shown below. Demand (tons) Probability 27 0.10 28 0.20 29 0.30 30 0.20 31 0.10 32 0.04 33 0.03 34 0.03 If the work schedule provides capacity for removing 28 tons, what is the probability that all trash will be picked up in any given week? If the company wants to guarantee that all trash will be picked up 90% of the time what should be the capacity of the pickup service? O 27 O 28 O 29 O 30 O 31 O 32 O 3 O 34

A trash hauling company provides a special service of picking up and hauling away large trash items such as appliances, construction materials, furniture, etc. This service is provided once each week. If the number of tons of trash exceeds the capacity of the company on the day of the pickup, then the unmet demand for the trash removal is delayed until the following week. The company must schedule personnel hours each week for this service in a way that trades off the cost of idle personnel with the inconvenience to customers of having to wait an extra week for removal of their trash. The demand forecast for a typical week is shown below. Demand (tons) Probability 27 0.10 28 0.20 29 0.30 30 0.20 31 0.10 32 0.04 33 0.03 34 0.03 If the work schedule provides capacity for removing 28 tons, what is the probability that all trash will be picked up in any given week? If the company wants to guarantee that all trash will be picked up 90% of the time what should be the capacity of the pickup service? O 27 O 28 O 29 O 30 O 31 O 32 O 3 O 34

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 24CT
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A trash hauling company provides a special service of picking up and hauling away large trash items such as appliances, construction materials, furniture, etc. This service is provided once each week. If the number of tons of trash exceeds the capacity of the company on the day of the pickup, then the unmet demand for the trash removal is delayed until the following week. The company must schedule personnel hours each week for this service in a way that trades off the cost of idle personnel with the inconvenience to customers of having to wait an extra week for removal of their trash. The demand forecast for a typical week is shown below. Demand (tons) Probability 27 0.10 28 0.20 29 0.30 30 0.20 31 0.10 32 0.04 33 0.03 34 0.03 If the work schedule provides capacity for removing 28 tons, what is the probability that all trash will be picked up in any given week? If the company wants to guarantee that all trash will be picked up 90% of the time what should be the capacity of the pickup service? O 27 O 28 O 29 O 30 O 31 O 32 O 33 O 34
Transcribed Image Text:A trash hauling company provides a special service of picking up and hauling away large trash items such as appliances, construction materials, furniture, etc. This service is provided once each week. If the number of tons of trash exceeds the capacity of the company on the day of the pickup, then the unmet demand for the trash removal is delayed until the following week. The company must schedule personnel hours each week for this service in a way that trades off the cost of idle personnel with the inconvenience to customers of having to wait an extra week for removal of their trash. The demand forecast for a typical week is shown below. Demand (tons) Probability 27 0.10 28 0.20 29 0.30 30 0.20 31 0.10 32 0.04 33 0.03 34 0.03 If the work schedule provides capacity for removing 28 tons, what is the probability that all trash will be picked up in any given week? If the company wants to guarantee that all trash will be picked up 90% of the time what should be the capacity of the pickup service? O 27 O 28 O 29 O 30 O 31 O 32 O 33 O 34
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