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Copy file name to clipboardExpand all lines: Integer programming model.Rmd
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---
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output:
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html_document:
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toc: true
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toc_depth: '4'
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df_print: paged
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---
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#### **To:** Seattle Museum of Modern Art: Board of directors
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#####**To:** Seattle Museum of Modern Art: Board of directors
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#### **From:** Afsar Ali
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#####**From:** Afsar Ali
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#### **Date:**`r format(Sys.time(), '%B %d, %Y')`
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#####**Date:**`r format(Sys.time(), '%B %d, %Y')`
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#### **RE:** Analysis of 3 Proposal: Artie's Dream
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#####**RE:** Analysis of 3 Proposal: Artie's Dream
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***
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```{rmessage=FALSE, warning=FALSE, include=FALSE}
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```{recho=TRUE, message=FALSE, warning=FALSE}
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# Title: Artie's Dream
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# Purpose: Final Project
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library(formattable)
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```
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```{rmessage=FALSE, warning=FALSE, include=FALSE}
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```{recho=TRUE, message=FALSE, warning=FALSE}
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# Import Data
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data <- read.csv("5260_S18_Arties_Dream.csv", header = TRUE)
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Artie Fophartie has recently caught our attention with his willingness to fund an entire exhibit and generously donating $1 million to the museum from his lottery ticket winnings. Since the exhibit pieces would remain on display for two months, a thorough analysis is needed to calculate the cost and determine which art pieces should be displayed. This analysis is based on the 34 art pieces that Artie selected from the modern art community. Celeste McKenzie and Artie made specific requirements for the exhibit and based on these requirements there are three proposals for you to review. The first proposal reflects the budget of $4 million set by Artie. The second proposal reflects Celeste's decision to include at least 20 art pieces to ensure that the exhibit draws the attention of the public. The third proposal reflects cost uncertainty.
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```{rmessage=FALSE, warning=FALSE, include=FALSE}
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```{recho=TRUE, message=FALSE, warning=FALSE}
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# This model has choice variables that are binary
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p1 <- make.lp(0, 35)
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lp.control(p1, sense = "max")
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*Table 1: List of 15 art pieces displayed without exceeding the budget*
How can we reduce the average number of poster sheets waiting to complete inspection? I was tasked with analyzing and producing solutions to reduce the backlog by taking into account the cost associated with each task and cost of in-process inventory. According to my findings, we should only use 8 printing press, increase the print time by 15 mins and hire an additional inspector. This will reduce our **Total cost by $50.63 per hour** from current the total cost of $203.14 per hour to $152.51 per hour and optimizes our overall operation. With the task of analyzing the two initial proposals we discussed, I was able to create a third solution that maximizes the poster sheet flow while minimizing our cost.
##Proposal 4: Take slightly longer to make the prints (which would increase their average time to make a print to 1.2 hours), so that the inspector can keep up with his output better. This also would reduce the cost of the power for running each press from $7.00 to $6.50 per hour. (By contrast, decreasing the time would increase this cost to $7.50 per hour while decreasing the average time to make a print to 0.8 hour.):
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# Evaluating the status quo print reproductions of the paintings and photographs
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*Table 2: Decreasing print time by 10 mins would increase Total Cost by $23.24 per hour *
##Proposal 4: Take slightly longer to make the prints (which would increase their average time to make a print to 1.2 hours), so that the inspector can keep up with his output better. This also would reduce the cost of the power for running each press from $7.00 to $6.50 per hour. (By contrast, decreasing the time would increase this cost to $7.50 per hour while decreasing the average time to make a print to 0.8 hour.):
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# Evaluating the status quo print reproductions of the paintings and photographs
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*Table 3: Increasing print time by 15 mins would decrease the Total Cost by $9.63 per hour *
#Proposal 5: Substitute a more experienced inspector for this task. She is somewhat faster at 7 minutes per poster, so she should keep up better. However, this inspector is in a job classification that calls for a total compensation (including benefits) of $19 per hour, whereas the current inspector is in a lower job classification where the compensation is $17 per hour:
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# Evaluating the status quo print reproductions of the paintings and photographs
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*Table 4: Experienced inspector would decrease the Total Cost by $18.36 per hour *
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