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# Chapter 3 Project: Hot! Hot! Hot!

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## Jordan Booker

on 21 November 2013

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#### Transcript of Chapter 3 Project: Hot! Hot! Hot!

Chapter 3 Project: Hot! Hot! Hot!
Activity 1: Graphing
To fill an order for Sizzlin' Sauce sauces, you bought 1050 green peppers and 1200 hot chili peppers.
The system of inequalities for the number of pints of each kind of sauce you can make is: y<=-5/4x+262.5 and y<=-1/2x+150(x>=0,y>=0).
The solution we selected was (0,0). With this solution you will have 1050 green peppers left over and 1200 hot chili peppers left over.
Activity 3: Researching
When you visit a local grocery store prices for ingredients are about:
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(constraints/inequalities) from Activity 1, decide how much of each sauce you should make and sell to maximize your profit What is the maximum profit?
Activity 4: Organizing
You can sell your sauce to a supermarket chain, a local grocery, and a specialty store. The supermarket chain will buy 288 pints every 8 weeks, the grocery will buy 60 pints every 4 weeks, and the specialty store will buy 24 pints every week.
Shipping Cost and Other Expenses
\$80.00 a month for production facility
\$20.00 a week for diesel fuel
\$150.00 a month for utilities
Workers paid \$70.00 a week
By:Jordan Booker, Bradley McPherson, Jesse Ceyler
Beginning of Project Info:
You are the owner of
the Sizzlin' Sauce Company. Your company makes two different kinds of sauce, Red Hot and Scorchin' Hot sauce.
Red Hot Sauce

Scorchin' Hot Sauce
(x variable)
(y variable)
Yield: 1 pint

1 pint tomato sauce with onions
5 green peppers, diced
4 hot chili peppers, seeded and diced
Yield: 1 pint

1 pint tomato sauce with onions
4 green peppers, diced
8 hot chili peppers, seeded and diced
As the owner of a small successful business, you want to minimize costs, maximize profit, and keep customers satisfied by filling orders promptly.
Vertices
(0,0)
(0,150)
(150,75)
(210,0)
You should use:
150 pints of Red Hot Sauce
75 pints of Scorchin' Hot Sauce
Your maximum profit as a result would be \$255.00
1 pint tomato sauce with onions:\$2.20
1 green pepper, diced:\$00.57
1 hot chili pepper, seeded and diced:\$00.50
Guesstimate Prices of Ingredients
To fill these orders you should produce 75 pints of sauce each week.
Price of 1 pint of Red Hot Sauce:\$7.05
Price of 1 pint of Scorchin' Hot Sauce:\$8.48
We would sell the Red Hot Sauce for \$8.25 per pint and the Scorchin' Hot Sauce \$9.48 per pint.
Profit Analysis
Our profit analysis of producing Sizzlin' Sauces is that your making 75 pints of sauce each week. A pint of Red Hot Sauce costs \$7.05 to make. A pint of Scorchin' Hot Sauce costs \$8.48 to make. You sell Red Hot Sauce for \$8.25 and you sell Scorchin' Hot Sauce for \$9.48. This brings in a maximum profit of approximately \$255.00. This sums up the required info needed.
Going on to say that you have further expenses where you might then choose to raise your selling price to then keep that profit; things such as: shipping, workers, production facility, utilities, and other basic business necessities would be a factor in that possible decision.
:D The End
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