# 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.