Hot Hot Hot!
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