Transcript: Y= Scorchin' Hot Sauce 4x+8y≤1200 5x+4y≤1050 Hot Hot Hot!! By: Maya Vulcan, Juliya Hsiang, Tristen Cox 4x+8y Activity 1 X= Red hot sauce
Transcript: Yield: 1 pint Scorching Hot Sauce Hot! Hot! Hot! The current price for 1 pint of tomato sauce is $2.20 The current price for 1 green pepper diced is $0.57 The current price for 1 hot pepper seeded and diced is $0.50 Activity 2: Selling: Research Graphing Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8 Supermarket: 36 72 108 144 180 216 252 288 Grocery Store: 15 30 45 60 75 90 105 120 Specialty Store: 24 48 72 96 120 144 168 192 4 green peppers diced 4x+8y≤ 1200 (150,75) 1 pint of tomato sauce You can sell your sauce to a supermarket chain, a local grocery store, and a specialty store. The supermarket will buy 288 pints every 8 weeks, the grocery store will buy 60 pints every 4 weeks, and the specialty store will buy 24 pints each week. How many pints of 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. Super Market: 36 pints Grocery Store: 15 pints Specialty Store: 24 pints Red Hot Sauce Graphing: Yield: 1 pint I hope you enjoyed my prezi Visit a local grocery store to estimate the cost of each sauce ingredient. Remember that buying in large quantities save you money 8 hot chili peppers, seeded and diced By: Xavier Komaromi Solution of the System and Leftover Peppers: Maximum Profit The price of 1 pint of Red Hot Sauce is $7.05 The price of 1 Scorching Hot Sauce is $8.48 The Point that I chose was (0, 0) and I will have 1,050 Hot Peppers and 1,200 Scorching Hot Peppers leftover. Activity 3: Activity 1: 5x+4y≤ 1050 Analyzing I would sell the Red Hot sauce for $8.50/pint and the Scorching Hot sauce for $9.53/pint in order to maintain a profit and to keep my business going. In order to fill these orders you should produce 75 pints of sauce a week. Suppose you make $1.20 per pint profit on Red Hot Sauce and $1.00 per pint in Scorching Hot Sauce. Using the restriction from Activity 1, decide how much of each sauce you should produce and sell to maximize your profit. What is the maximum profit? I need to make 150 pints of Red Hot Sauce and 75 pints of Scorching Hot Sauce. 4 hot chili peppers Seeded and diced 5 green peppers diced Spreadsheet: Your Maximum Profit is $240.00 Inequalities: Recipes "To fill an order for Sizzling Sauce, you bought 1050 Green Peppers and 1200 Hot Chili Peppers." The End 1 pint of tomato sauce
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Transcript: Activity 4 Scorching hot sauce Important details Red hot sauce- $9/pint Scorching hot sauce- $11/pint 1050 green pepper 1200 hot chili peppers 5x+4y is < to 1050 MAXIMUM PROFIT Emma MacLeod $250 1pt-tomato sauce 4-green peppers 8-hot chili peppers Red hot sauce I make $1.20 per pint profit on Red hot sauce and a $1.00 on scorching hot sauce. X-Red hot sauce y-Scorching hot sauce Activity 2 75 pints of Scorching hot sauce To make a profit... My solution was (50,50) and if you made that then you would have 600 peppers left for the red hot sauce and 600 peppers left for the scorching hot sauce. Scorching hot sauce costs $10.38 to make HOT! HOT! HOT! Red hot sauce cost $8.11 to make 1pint of tomato sauce-$0.50 1 green peppers- $0.89 1 hot chili peppers- $0.79 4x+8y < 1200 150pints of the red hot sauce 1pt-tomato sauce 5-green peppers 4- hot chili peppers Kroger will buy 288 pints every 8 weeks. A local farmers market will buy 60 pints every 4 weeks. A salsa store will buy 24 pints every week. Kroger-36pints/week Farm market-15pints/week Salsa store-24pints/week Activity 1 To get my maximum profit I need to sell... Activity 3
Transcript: Activity 4: Selling by: Lidya Pitian Hot! Hot! Hot! Activity 2: Analyzing Activity 1: Graphing Activity 3: Research
Transcript: Green Pepper: $1.50 each Hot Chili Pepper: $0.50 1 pt of tomato sauce: $2.96 Hot Hot Hot! By: Morgan Teman Red Hot Sauce Total: $12.46 1 pt. Tomato sauce with onions: $2.96 4 green peppers,diced: $7.50 8 hot chili peppers, seeded and diced: $2 Selling Price: $13.66 Price to make + cost per pt. $12.46+$1.2=$13.66 (150,75)- $1.2(150)+$1(75)=$255 Maximum -5/4x+262.5=-1/2x+150 +5/4x +5/4x 262.5=3/4x+150 -150 -150 112.5=3/4x *4/3 *4/3 450/3=x 150=x y=-½(150)+150 y=-75+150 y=75 You will reach the maximum profit of $255 if you sell 150 pints of Red Hot Sauce and 75 pints of Scorchin’ Hot Sauce! Activity 3: Researching Activity 2: Analyzing (50,100) 5x+4y≤1050 5(50)+4(100)= 650 green peppers 1050-650=400 green peppers left over 4x+8y≤1200 4(50)+8(100)=1,000 Hot Chili Peppers 1200-1,000=200 Hot Chili Peppers left over Supermarket: 288 pints every eight weeks 36 pt. Per week Grocery Store: 60 pints every four weeks 15 pt. Per week Specialty Store: 24 pints every week Graphed Constraints Activity 4: Organizing Activity 1: Graphing Conclusion Solutions Scorchin’ Hot Sauce Total: $12.96 1 pt. Tomato sauce with onions: $2.96 4 green peppers,diced: $6.00 8 hot chili peppers, seeded and diced: $4 Selling Price: $13.96 Price to make + cost per pt $12.96+$1=13.96 Scorchin’ Hot Sauce Red Hot Sauce P=$1.2x+1y Points: (0,0) (210,0) (0,150) (150,75) Equations: (0,0)- $1.2(0)+$1(0)=$0 (210,0)- $1.2(210)+$1(0)=$252 (0,150)- $1.2(0)+$1(150)=$150 (150,75)- $1.2(150)+$1(75)=$255 To fill an order for Sizzlin’ Sauce sauces, you bought 1050 green peppers and 1200 hot chili peppers. X- # pints of Red Hot Y- # of pints of Scorchin’ Hot Constraints: 5x+4y≤1050 (Green Peppers) 4x+8y≤1200 (Hot Chili Peppers) x>0 y>0
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Transcript: X= Number of pints of Red Hot Sauce Y= Number of pints of Scorchin' Hot sauce 5x+4y ≤ 1050 4x+8y 1200 Max profit would be $250 when producing 150 pints of Red Hot Sauce and 75 Pints of Scorchin' Hot Sauce Mixed and Improper Fractions Take into consideration The cost of the ingredients and packaging and bottling of the sauce The work put into making the sauce and bottling them by the employees An atomatic bling machine may cost from $12,000- $25,000 Minimum wage in Florida is $7.79 The marketing of the product all depens on the strategy used $750-$25000 Chose solution 100 from shaded region 5(100)+4(100) 1050 150 peppers left over Supermarket Chain: 288 pt / 8 weeks Grocery Store: 60 pt /4 weeks Specialty Store: 24 pt / week 75 pints of sauce per week Y -5x/4+262.5 Y -1x/2+150 HOT! HOT! HOT! Pints of Red Hot Sauce Pints of Scorchin'Hot Sauce Activity 3 Activity 2 What is the improper fraction for 3 and 1/2? A.6/2 B.9/2 C.7/2 D.10/2 Extending the Project Red Hot Sauce Scorchin' Hot Sauce Activity 1: Graphing P= Profit Demi White Jasmine Balsalobre Gina Matul Dariel Trujillo Activity 4
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