All answers were generated using 1,000 trials and native Excel functionality.) The management of Brinkley Corporation is interested in using simulation to estimate the profit per unit for a new product. The selling price for the product will be $45 per unit. Probability distributions for the purchase cost, the labor cost, and the transportation cost are estimated as follows: Labor Probability Cost ($) Probability Procurement Cost ($) 10 0.25 T 11 0.45 12 0.30 20 22 24 25 % 0.10 % 0.25 0.35 0.30 Transportation Cost ($) 3 5 (a) Construct a simulation model to estimate the average profit per unit. What is a 95% confidence interval around this average? Round your answers to two decimal places. Lower Bound: $ 11.05 Upper Bound: $ 12 (b) Mana gement believes that the project may not be sustainable if the profit per unit is less than $5. Use simulation to estimate the probability that the profit per unit will be less than $5. What is a 95% confidence interval around this proportion? Round your answers to one decimal of a percentage. Lower Bound: Upper Bound: Probability 0.75 0.25

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...
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All answers were generated using 1,000 trials and native Excel functionality.)
The management of Brinkley Corporation is interested in using simulation to estimate the profit per unit for a new product. The selling price for the product will be
$45 per unit. Probability distributions for the purchase cost, the labor cost, and the transportation cost are estimated as follows:
Procurement
Labor
Cost ($) Probability Cost ($) Probability
10
11
12
0.25
0.45
0.30
20
22
24
25
0.10
%
0.25
%
0.35
0.30
Transportation
Cost ($)
3
5
Probability
0.75
(a) Construct a simulation model to estimate the average profit per unit. What is a 95% confidence interval around this average?
Round your answers to two decimal places.
Lower Bound: $
11.05
0.25
Upper Bound: $
12
(b) Management believes that the project may not be sustainable if the profit per unit is less than $5. Use simulation to estimate the probability that the profit per
unit will be less than $5. What is a 95% confidence interval around this proportion?
Round your answers to one decimal of a percentage.
Lower Bound:
Upper Bound:
Transcribed Image Text:All answers were generated using 1,000 trials and native Excel functionality.) The management of Brinkley Corporation is interested in using simulation to estimate the profit per unit for a new product. The selling price for the product will be $45 per unit. Probability distributions for the purchase cost, the labor cost, and the transportation cost are estimated as follows: Procurement Labor Cost ($) Probability Cost ($) Probability 10 11 12 0.25 0.45 0.30 20 22 24 25 0.10 % 0.25 % 0.35 0.30 Transportation Cost ($) 3 5 Probability 0.75 (a) Construct a simulation model to estimate the average profit per unit. What is a 95% confidence interval around this average? Round your answers to two decimal places. Lower Bound: $ 11.05 0.25 Upper Bound: $ 12 (b) Management believes that the project may not be sustainable if the profit per unit is less than $5. Use simulation to estimate the probability that the profit per unit will be less than $5. What is a 95% confidence interval around this proportion? Round your answers to one decimal of a percentage. Lower Bound: Upper Bound:
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