In this activity you will be investigating the rising cost of the MTA transit fare over
a period of time in New York City. The goal is to use data to develop a simple
mathematical model which can be used to make some reasonable predictions.
You will incorporate the use of algebraic skills such as graphing, rate of change
and linear function to complete this activity.
Category: Mathematics
please complete the four pro blems below on the attached template
1. Identify the various manufacturing and service system designs and capacity planning methods.
1. The manager of an oil refinery must decide on the optimal mix of two possible blending processes of which the input and output per production run are given as follows:
Process Units
Input
Crude A
Crude B
Output
Gasoline X
Gasoline Y
1
5
3
5
8
2
4
5
4
4
The maximum amount available of crude A and B are 200 units and 150 units respectively. Market requirements show that at least 100 units of gasoline X and 80 units of gasoline Y must be produced. The profit per production run from process 1 and process 2 are Rs. 300 and Rs. 400 respectively. Formulate this problem as a linear programming model.
2. A city police department has the following minimal daily requirement for policeman. Note, you are to consider period 1 as following immediately after period 6. Each policeman works eight consecutive hours. Let X denote the number of men starting work in period t everyday. The police department seeks a daily manpower schedule that employs the least number of policemen, provided that each of the above requirements is met. Formulate linear programming model to find an optimal schedule.
Time of Day
Period
Minimal number of police required during a period
2 – 6
1
20
6 – 10
2
50
10 – 14
3
80
14 – 18
4
100
18 – 22
5
40
22 – 2
6
30
3. . A car dealer selects his cars for sale very carefully so as to ensure the optimization of his profits. He deals in 4 types of cars A, B, F and G. The purchase value of the cars range at Rs. 60,000, 150,000, 55,000 and 220,000 and the sales value is fixed at Rs. 80,000, 175,000, 75,000 and 250,000 respectively. The probability of sale are 0.8, 0.9, 0.6 and 0.50 respectively during a period of six months. In order to invest Rs. 20,00,000 in his deals, he wishes to maintain the rates of purchase of cars as 3 : 1 : 2 : 4. Work out how and how much he should buy. Formulate this problem as LP model.
4. Use graphical method to solve the following LP problems
Max. Z = 3×1 + 4×2
Subject to
2×1 + x2 ≤ 10
x1 + 3×2 ≤ 12
x1 + x2 ≤ 6
x1, x2 ≥ 0
See Assignment Template attached
– All questions must be solved by showing all steps and calculations.
– Use graphs/sketch when appropriate.
Design a dream home with calculations and scale. File for data input is attached. I don’t know how to correctly put the order in, BUT I’m in DESPERATE need!!!!
Course:
Consumer Math A
Unit:
Traveling Abroad
Assignment:
Converting Measurements
Converting Measurements Project
Have you ever taken a trip to another country, or have you ever dreamed of doing so? There are a lot of beautiful places in the world, and each one is unique and special.
One of the ways certain countries may be different than others is in their standard units of measure. For example, in the United States, the most common way to measure a long distance is in miles, but in many other countries, it’s kilometers.
In this project, you’ll be measuring some items around your home and converting their measurements from one system to another.
For each section, please choose a different item. You will need to measure the item yourself for the first measurement, then show the equation and calculation you did to arrive at the second measurement.
ITEM 1: an item that you can pick up by yourself (i.e. book, pillow, TV remote, etc)
Item you chose: __________
Length in inches: _____________________
Length in centimeters (show work for full credit): ___________________________
ITEM 2: an item that you can pick up by yourself (i.e. book, pillow, TV remote, etc)
Item you chose: _____________________
Weight in pounds: ____________________
Weight in kilograms (show work for full credit): __________________________
ITEM 3: an item you can’t pick up by yourself (i.e. table, couch, bedframe, etc)
Item you chose: _____________________
Length in feet: ____________________
Length in meters (show work for full credit): ___________________________
ITEM 4: A liquid container (i.e. glass or bowl from your kitchen) – fill the item with water or another liquid
Item you chose: ______________________
Volume in cups: ____________________
Volume in milliliters (show work for full credit): __________________________
Paragraph question
When we think about other parts of the world and the different ways they do things, sometimes we can tend to think that our way is the best way. Write a paragraph (at least three sentences) about what the Bible teaches us about how God created everyone equally and how every person from every culture, regardless of what measurements they use or what food they eat or what language they speak, is cherished and loved by God.
Grading Rubric:
You can get a 0 by not fulfilling the minimum category. Your final grade will be calculated based on the score from the rubric below using the following formula:
Your grade = (total points ÷ 25) * 100 =
Overview Recall that samples are used to generate a statistic, which businesses use to estimate the population parameter. You have learned how to take samples from populations and use them to produce statistics. For two quantitative variables, businesses can use scatterplots and the correlation coefficient to explore a potential linear relationship. Furthermore, they can quantify the relationship in a regression equation. Prompt This assignment picks up where the Module Two assignment left off and will use components of that assignment as a foundation. You have submitted your initial analysis to the sales team at D.M. Pan Real Estate Company. You will continue your analysis of the provided Real Estate Data Spreadsheet spreadsheet using your selected region to complete your analysis. You may refer back to the initial report you developed in the Module Two Assignment Template to continue the work. This document and the National Summary Statistics and Graphs Real Estate Data PDF spreadsheet will support your work on the assignment. Note: In the report you prepare for the sales team, the dependent, or response, variable (y) should be the listing price and the independent, or predictor, variable (x) should be the square feet. Using the Module Three Assignment Template Word Document, specifically address the following: Regression Equation: Provide the regression equation for the line of best fit using the scatterplot from the Module Two assignment. Determine r: Determine r and what it means. (What is the relationship between the variables?) Determine the strength of the correlation (weak, moderate, or strong). Discuss how you determine the direction of the association between the two variables. Is there a positive or negative association? What do you see as the direction of the correlation? Examine the Slope and Intercepts: Examine the slope and intercept . Draw conclusions from the slope and intercept in the context of this problem. Does the intercept make sense based on your observation of the line of best fit? Determine the value of the land only. Note: You can assume, when the square footage of the house is zero, that the price is the value of just the land. This happens when x=0, which is the y-intercept. Does this value make sense in context? Determine the R-squared Coefficient: Determine the R-squared value. Discuss what R-squared means in the context of this analysis. Conclusions: Reflect on the Relationship: Reflect on the relationship between square feet and sales price by answering the following questions: Is the square footage for homes in your selected region different than for homes overall in the United States? For every 100 square feet, how much does the price go up (i.e., can you use slope to help identify price changes)? What square footage range would the graph be best used for?
Course:
Consumer Math A
Unit:
Traveling Abroad
Assignment:
Converting Measurements
Converting Measurements Project
Have you ever taken a trip to another country, or have you ever dreamed of doing so? There are a lot of beautiful places in the world, and each one is unique and special.
One of the ways certain countries may be different than others is in their standard units of measure. For example, in the United States, the most common way to measure a long distance is in miles, but in many other countries, it’s kilometers.
In this project, you’ll be measuring some items around your home and converting their measurements from one system to another.
For each section, please choose a different item. You will need to measure the item yourself for the first measurement, then show the equation and calculation you did to arrive at the second measurement.
ITEM 1: an item that you can pick up by yourself (i.e. book, pillow, TV remote, etc)
Item you chose: __________
Length in inches: _____________________
Length in centimeters (show work for full credit): ___________________________
ITEM 2: an item that you can pick up by yourself (i.e. book, pillow, TV remote, etc)
Item you chose: _____________________
Weight in pounds: ____________________
Weight in kilograms (show work for full credit): __________________________
ITEM 3: an item you can’t pick up by yourself (i.e. table, couch, bedframe, etc)
Item you chose: _____________________
Length in feet: ____________________
Length in meters (show work for full credit): ___________________________
ITEM 4: A liquid container (i.e. glass or bowl from your kitchen) – fill the item with water or another liquid
Item you chose: ______________________
Volume in cups: ____________________
Volume in milliliters (show work for full credit): __________________________
Paragraph question
When we think about other parts of the world and the different ways they do things, sometimes we can tend to think that our way is the best way. Write a paragraph (at least three sentences) about what the Bible teaches us about how God created everyone equally and how every person from every culture, regardless of what measurements they use or what food they eat or what language they speak, is cherished and loved by God.
Grading Rubric:
You can get a 0 by not fulfilling the minimum category. Your final grade will be calculated based on the score from the rubric below using the following formula:
Your grade = (total points ÷ 25) * 100 =
hello
I have an assignment for math 131 , hope to find an explanation and answers ASAP
* Please no handwriting , use Microsoft Word
writing requirement
The following
are all calculation results，I need a table with all the number
results, and a paragraph with the explanation of these.（The following are
the results of data analysis. The tables are organized and the contents of the tables
are explained as required.）
1. Try to
summarize tables of the same type into one table（For example,
Tables 1, 2, and 3 are the same type of tables.）
2. Summarize
the analysis results of all tables into a paragraph of text
The variable is in the bottom of a fraction or in the denominator. (The Opposite of Direct Variation) In an inverse variation, the values of the two variables change in an opposite manner – as one value increases, the other decreases. For example, a biker traveling at 8 mph can cover 8 miles in 1 hour. If the biker’s speed decreases to 4 mph, it will take the biker 2 hours (an increase of one hour), to cover the same distance.
Please start by addressing one or more of the following topics to get the discussion going:
How would you describe the difference between direct variation and joint variation in words? Use examples to help illustrate.
Pick a field of study of interest to you and give an example of variation in that field. Some possible areas to consider are: Economics, Finance, Geometry and Physics. Example: If your hourly pay rate is $15/hour, then your weekly pay p is given by the formula p=15h where h is the number of hours worked in a week. So, your weekly pay varies directly as the number of hours worked in a week with the constant of variation = 15.
Most formulas are actually examples of variation. Pick a well-known formula and describe the type of variation as well as the constant of variation, k. Example: The area A of a triangle with base b and height h is given by the formula A=½bh. So, the area of a triangle varies jointly as the base and height (both direct) with the constant of variation = ½.
Share a favorite recipe; a) Triple the recipe; b) Take 1/2 of the tripled recipe.
Give an example from real life where composite functions are utilized. For ideas, you may look it up on the internet or find examples in the book.