hot hot hot!

ahmani applewhite

Suppose you are the owner of the Sizzlin’ Sauce Company. Your company makes two different kinds of sauce, Red Hot Sauce (x) and Scorchin’ Hot Sauce (y).

activity one :)

below i have written and graphed systems of inequalities to represent the number of each pints i can make of each sauce if i bought 1050 green peppers and 1200 hot chili peppers according to the recipes below:

  • Red Hot SauceYield: 1 pint
  • 1 pt tomato sauce with onions
  • 5 green peppers, diced
  • 4 hot chili peppers, seeded and diced
  • Scorchin’ Hot SauceYield: 1 pint
  • 1 pt tomato sauce with onions
  • 4 green peppers, diced
  • 8 hot chili peppers, seeded and diced

5x+4y<=1050         y<= -5/4x+262.5

4x+8y<=1200         y<=-1/2x+150

x>=0

y>=0

activity two =D

If i make $1.20 on 1 pint of red hot sauce and $1.00 on 1 pint of scorchin' hot sauce. According to my vertex i will make 150 pints of red hot sauce and 75 pints of scorchin' hot sauce in order to make my maximum profit which would be $255.00

the vertex from my feasible region are :

0,0

0,150

150,75               maximum profit is $255

215,0

activity four ;P

I can sell my 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 speciality store will buy 24 pints each week.

I would need to produce 75 ints of sauce each week to fulfill all of these orders as they would like.

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