Chapter 2 Project : Hot, Hot, Hot!

By: Tiera. A.

Suppose you are the owner of the Sizzlinâ€™ Sauce Company. Your company makes two different kinds of sauce, Red Hot Sauce and Scorchinâ€™ Hot Sauce.

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Red Hot Sauce (X) - (Yield: 1 pint)                            Scorchin' Hot Sauce (Y) - (Yield: 1 pint)

-1 pt tomato sauce with onions                                       - 1 pt tomato sauce with onions

-5 green peppers, diced                                                      -4 green peppers, diced

-4 hot chili peppers seeded and diced                         -8 hot chili peppers, seeded and diced

Being the owner of a small succesful business, i want to minimize costs, maximize profit, and keep my customers satisfied by filling orders promptly. To fill an order for Sizzlin' Sauce sauces, I bought 1050 green peppers and 1200 m hot chili peppers.

Following inequalities that are graphed:

1)   y<=(-5/4)x+60     2)   y<=(-1/2)y+150    3) x>=0     4)  y>=0

Activity 2

(10, 2)

5(10)+4(2)<= 60                                               4(10)+8(2)<=150

50+8<= 58                                                        40+16<=56

58<=60                                                               56<=150

*2 green peppers left over!                                 *8 chilli peppers left over!

\$1.20 Red HOt Sauce (x)
\$1.00 Scorchin' Hot Sauce (y)

(0,0) (10,2) (150,0) (200,0)

Maximum: \$14 when producing 10 pints of the Red Hot Sauce and 2 pints of the Scorchin' Hot Sauce.

Activity 3

1 pint of tomato sauce with onions: \$2.20

1 diced green pepper: \$00.57

1 hot chili peppers, seeded & diced: \$00.50

Cost of Producing 1 pint:

1 pint of Red hot Sauce: \$5.40

1 pint of Scorchin' Hot Sauce: \$8.20

To make a profit, sell each pint for...
Red Hot Sauce: \$7.00
Scorchin' Hot Sauce: \$10.00

The supermarket chain will but 288 pints every 8 weeks, the local grocery store will buy 60 pints every 4 weeks, and the specialty store will buy 24 pints every week. To fill these orders you should produce 92 pints of both sauces each week.