Math Milestone assignment

madisonhope96

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Sep 27, 2012
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Does anyone know how to do this? I am so confused and I mainly need help with activity one, the inequalities, graphing, and solving. Please help!

Go to the following Web sites to find information to help you complete this project.
You can review how to enter data and use formulas in spreadsheets.
Learn more about running a small business from the Small Business Association.

[h=2]Beginning the Chapter Project[/h]Suppose you are the owner of the Sizzlin' Sauce Company. Your company makes two different kinds of sauce, Red Hot Sauce and Scorchin' Hot Sauce. As the owner of a small but successful business, you want to minimize costs, maximize profit, and create satisfied customers by filling orders promptly.
As you work through the project, you will use systems of equations and a spreadsheet to analyze production levels and make decisions. You will write a report detailing your choices.
[h=2]List of Materials[/h]
  • Calculator
  • Graph paper
[h=2]Activities[/h][h=3]Activity 1: Graphing[/h]To fill an order for Sizzlin' Sauce sauces, you bought 1050 green peppers and 1200 hot chili peppers.

  • Write and graph a system of inequalities to represent how many pints of each kind of sauce you can make. Use the recipes below.
  • Select one solution of the system and determine how many peppers you will have left over.

Sizzlin' Sauces Recipes
Scorchin' Hot Sauce IngredientsRed Hot Sauce Ingredients
Yield: 1 pint
1 pint tomato sauce with onions
4 green peppers, diced
8 hot chili peppers, seeded and diced
Yield: 1 pint
1 pint tomato sauce with onions
5 green peppers, diced
4 hot chili peppers, seeded and diced

[h=3]Activity 2: Analyzing[/h]Suppose you make $1.20/pt profit on Red Hot Sauce and $1.00/pt profit on Scorchin' Hot Sauce. Using the restrictions from Activity 1, decide how much of each sauce you should make and sell to maximize your profit. What is the maximum profit?
[h=3]Activity 3: Researching[/h]Visit a local grocery store to estimate the cost of each sauce ingredient. Remember that buying in large quantities can save you money.

  • Find the cost to produce 1 pt of each type of sauce.
  • What selling price will you set for each sauce to maintain your profit?
[h=3]Activity 4: Organizing[/h]You can sell your sauce to a supermarket chain, a local grocery store, and a specialty store. The supermarket chain will buy 288 pints at a time, every eight weeks. The grocery store will buy 60 pints every four weeks, and the specialty store will buy 24 pints each week.

  • How much sauce should you produce each week to fill these orders? Presume that you want to produce the same number of pints each week, and that the type of sauce is not a factor in filling these orders.
  • Design a spreadsheet to track your stock of sauce after each week. Use cell formulas.
[h=2]Finishing the Chapter Project[/h]The activities should help you to complete your project. Your report should include your analysis of the cost of producing Sizzlin' Sauces. Include your profit analysis and production spreadsheet. Illustrate your reasoning and decisions with graphs.
[h=3]Reflect and Revise[/h]Present your analysis to a family member or friend. Decide if your work is complete, clear, and convincing. If needed, make changes to improve your presentation.
[h=3]Extending the Project[/h]Are there other expenses you could expect in addition to those you have already considered? Estimate them. Modify your recommendations if necessary.
[h=2]Chapter Project Checklist[/h]Have you done all of the following?

  • Made sure that answers are reasonable
  • Checked your work with a graphing calculator
  • Documented your information
  • Remembered that you will produce the same amount of sauce every week
  • Besides the cost of ingredients, what information would need to be taken into consideration to accurately determine the profit? How would you go about finding this information?
Milestone Assignment Rubric – Hot, Hot, Hot
Skills Being Assessed
Exemplary
Achieved
Developing
Inequalities
Correct inequalities are written and graphed.
(12-15 points)
Minor errors are made in writing the inequalities.
(8-10 points)
Inaccurate inequalities are written and graphs are not drawn accurately.
(0-5 points)
Calculations
Calculations are accurate and support the solution. (12-15 points)
Calculations have minor errors that do not take away from the solution. (8-10 points)
Calculations have major errors and affect the solution. (0-5 points
Folder Organization
Folder is well organized and provides useful information. (12-15 points)
The folder has useful information, but it is a bit fragmented and/or scattered. (8-10 points)
Folder has missing elements and the information is not complete. (0-5 points)
Explanations
Explanations are clear and thoroughly presented. (12-15 points)
Explanations are essentially correct, but there are gaps in the information. (8-10 points)
Explanations lack detail and do not support the information or calculations given. (0-5 points)
[h=2][/h]UPLOAD YOUR WORK BY CLICKING THE “OPEN” BUTTON BELOW. YOU MAY UPLOAD MORE THAN ONE DOCUMENT FOR THIS ASSIGNMENT.
 
Does anyone know how to do this? I am so confused and I mainly need help with activity one, the inequalities, graphing, and solving. Please help!

Go to the following Web sites to find information to help you complete this project.
You can review how to enter data and use formulas in spreadsheets.
Learn more about running a small business from the Small Business Association.

Beginning the Chapter Project

Suppose you are the owner of the Sizzlin' Sauce Company. Your company makes two different kinds of sauce, Red Hot Sauce and Scorchin' Hot Sauce. As the owner of a small but successful business, you want to minimize costs, maximize profit, and create satisfied customers by filling orders promptly.
As you work through the project, you will use systems of equations and a spreadsheet to analyze production levels and make decisions. You will write a report detailing your choices.
List of Materials


  • Calculator
  • Graph paper
Activities

Activity 1: Graphing

To fill an order for Sizzlin' Sauce sauces, you bought 1050 green peppers and 1200 hot chili peppers.

  • Write and graph a system of inequalities to represent how many pints of each kind of sauce you can make. Use the recipes below.
  • Select one solution of the system and determine how many peppers you will have left over.

Sizzlin' Sauces Recipes
Scorchin' Hot Sauce IngredientsRed Hot Sauce Ingredients
Yield: 1 pint
1 pint tomato sauce with onions
4 green peppers, diced
8 hot chili peppers, seeded and diced
Yield: 1 pint
1 pint tomato sauce with onions
5 green peppers, diced
4 hot chili peppers, seeded and diced

Activity 2: Analyzing

Suppose you make $1.20/pt profit on Red Hot Sauce and $1.00/pt profit on Scorchin' Hot Sauce. Using the restrictions from Activity 1, decide how much of each sauce you should make and sell to maximize your profit. What is the maximum profit?
Activity 3: Researching

Visit a local grocery store to estimate the cost of each sauce ingredient. Remember that buying in large quantities can save you money.

  • Find the cost to produce 1 pt of each type of sauce.
  • What selling price will you set for each sauce to maintain your profit?
Activity 4: Organizing

You can sell your sauce to a supermarket chain, a local grocery store, and a specialty store. The supermarket chain will buy 288 pints at a time, every eight weeks. The grocery store will buy 60 pints every four weeks, and the specialty store will buy 24 pints each week.

  • How much sauce should you produce each week to fill these orders? Presume that you want to produce the same number of pints each week, and that the type of sauce is not a factor in filling these orders.
  • Design a spreadsheet to track your stock of sauce after each week. Use cell formulas.
Finishing the Chapter Project

The activities should help you to complete your project. Your report should include your analysis of the cost of producing Sizzlin' Sauces. Include your profit analysis and production spreadsheet. Illustrate your reasoning and decisions with graphs.
Reflect and Revise

Present your analysis to a family member or friend. Decide if your work is complete, clear, and convincing. If needed, make changes to improve your presentation.
Extending the Project

Are there other expenses you could expect in addition to those you have already considered? Estimate them. Modify your recommendations if necessary.
Chapter Project Checklist

Have you done all of the following?

  • Made sure that answers are reasonable
  • Checked your work with a graphing calculator
  • Documented your information
  • Remembered that you will produce the same amount of sauce every week
  • Besides the cost of ingredients, what information would need to be taken into consideration to accurately determine the profit? How would you go about finding this information?
Milestone Assignment Rubric – Hot, Hot, Hot
Skills Being Assessed
Exemplary
Achieved
Developing
Inequalities
Correct inequalities are written and graphed.
(12-15 points)
Minor errors are made in writing the inequalities.
(8-10 points)
Inaccurate inequalities are written and graphs are not drawn accurately.
(0-5 points)
Calculations
Calculations are accurate and support the solution. (12-15 points)Calculations have minor errors that do not take away from the solution. (8-10 points)Calculations have major errors and affect the solution. (0-5 points
Folder Organization
Folder is well organized and provides useful information. (12-15 points)The folder has useful information, but it is a bit fragmented and/or scattered. (8-10 points)Folder has missing elements and the information is not complete. (0-5 points)
Explanations
Explanations are clear and thoroughly presented. (12-15 points)Explanations are essentially correct, but there are gaps in the information. (8-10 points)Explanations lack detail and do not support the information or calculations given. (0-5 points)
UPLOAD YOUR WORK BY CLICKING THE “OPEN” BUTTON BELOW. YOU MAY UPLOAD MORE THAN ONE DOCUMENT FOR THIS ASSIGNMENT.

Please read the post titled "Read before Posting".

We can help - we only help after you have shown your work - or ask a specific question (not a statment like "Don't know any of these")

Please share your work with us indicating exactly where you are stuck - so that we may know where to begin to help you.
 
Work

Activity 1- Graphing:
(4 Inequalities) X= Red Sauce; Y=Scorchin’ Sauce


  1. 5x+4y<=1050 (x=210)
  2. 4x+8y<=1200 (x=300)
  3. 5x+4y<=1200 (y=300)
  4. 4x+8y<=1050 (y=131.25)



This is my work so far and it is just not making sense to me. I'm not sure if these are correct, I just need some guidance.
 

Activity 1- Graphing:


X = Red Sauce; Y = Scorchin’ Sauce


  1. 5x+4y<=1050 (x=210)
  2. 4x+8y<=1200 (x=300)
  3. 5x+4y<=1200 (y=300)
  4. 4x+8y<=1050 (y=131.25)

This is my work so far.

First, a note about notation. The symbols X and x are not the same (Y and y are not the same, either). So, do not interchange upper- and lower-case letters; pick one or the other and stick with it.

x = the number of bottles of Red Sauce

y = the number of bottles of Scorchin' Sauce


Okay, the first two inequalities in your list above are correct. (The last two are not.)

The next step is to graph both inequalities together.

5x + 4y ≤ 1050

4x + 8y ≤ 1200


Have you learned how to graph inequalities on an xy-coordinate system? Are you supposed to draw the graph by hand?

The solution to the system of inequalities above is a shaded region in Quadrant I.


PS: What are those x and y values that you typed in parentheses?
 
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