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Assignment #1: Modeling with Functions – "Mathelicious" A booth at a music festival was setup to sell concertgoers a new soft drink "Mathelicious". The marketing geniuses behind the product wanted to see if there was a relationship between time spent at the concert and number of bottles of Mathelicious sold. The concert started at noon. The following data was collected: 1. Determine a mathematical function model that represents this data. It will be necessary to use more than one type of function. Include the domain interval over which each type of function applies to the model. Time Number of Bottles sold in the indicated time 12:15 12:30 12:45 period 159 322 485 Function model #1. 1:00 648 Domain: 1:15 1:30 811 837 Function model #2 1:45 847 2:00 2:15 2:30 841 Domain: 819 730 Function model #3 (if needed). 2:45 584 3:00 468 Domain: 3:15 375 3:30 300 Function model #4 (if needed). 3:44 266 Domain: 2. The makers of Mathelicious want to know when they should have the largest number of staff and the most stock available during a music festival. Determine when the sales reach a maximum and the maximum sales if Mathelicious is sold for $1.25/bottle.

Assignment #1: Modeling with Functions – "Mathelicious" A booth at a music festival was setup to sell concertgoers a new soft drink "Mathelicious". The marketing geniuses behind the product wanted to see if there was a relationship between time spent at the concert and number of bottles of Mathelicious sold. The concert started at noon. The following data was collected: 1. Determine a mathematical function model that represents this data. It will be necessary to use more than one type of function. Include the domain interval over which each type of function applies to the model. Time Number of Bottles sold in the indicated time 12:15 12:30 12:45 period 159 322 485 Function model #1. 1:00 648 Domain: 1:15 1:30 811 837 Function model #2 1:45 847 2:00 2:15 2:30 841 Domain: 819 730 Function model #3 (if needed). 2:45 584 3:00 468 Domain: 3:15 375 3:30 300 Function model #4 (if needed). 3:44 266 Domain: 2. The makers of Mathelicious want to know when they should have the largest number of staff and the most stock available during a music festival. Determine when the sales reach a maximum and the maximum sales if Mathelicious is sold for $1.25/bottle.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Assignment #1: Modeling with Functions – "Mathelicious" A booth at a music festival was setup to sell concertgoers a new soft drink "Mathelicious". The marketing geniuses behind the product wanted to see if there was a relationship between time spent at the concert and number of bottles of Mathelicious sold. The concert started at noon. The following data was collected: Number of Bottles sold in the Time 1. Determine a mathematical function model indicated time period 159 that represents this data. It will be necessary to use more than one type of function. Include the domain interval over which each type of function applies to the model. 12:15 12:30 322 Function model #1 12:45 485 1:00 648 Domain: 1:15 811 1:30 837 Function model #2. 1:45 847 2:00 841 Domain: 2:15 819 2:30 2:45 730 Function model #3 (if needed) 584 3:00 468 Domain: 3:15 3:30 375 Function model #4 (if needed) 300 3:44 266 Domain: 2. The makers of Mathelicious want to know when they should have the largest number of staff and the most stock available during a music festival. Determine when the sales reach a maximum and the maximum sales if Mathelicious is sold for $1.25/bottle.
Transcribed Image Text:Assignment #1: Modeling with Functions – "Mathelicious" A booth at a music festival was setup to sell concertgoers a new soft drink "Mathelicious". The marketing geniuses behind the product wanted to see if there was a relationship between time spent at the concert and number of bottles of Mathelicious sold. The concert started at noon. The following data was collected: Number of Bottles sold in the Time 1. Determine a mathematical function model indicated time period 159 that represents this data. It will be necessary to use more than one type of function. Include the domain interval over which each type of function applies to the model. 12:15 12:30 322 Function model #1 12:45 485 1:00 648 Domain: 1:15 811 1:30 837 Function model #2. 1:45 847 2:00 841 Domain: 2:15 819 2:30 2:45 730 Function model #3 (if needed) 584 3:00 468 Domain: 3:15 3:30 375 Function model #4 (if needed) 300 3:44 266 Domain: 2. The makers of Mathelicious want to know when they should have the largest number of staff and the most stock available during a music festival. Determine when the sales reach a maximum and the maximum sales if Mathelicious is sold for $1.25/bottle.
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