# HOT! HOT! HOT

### S.Phillips

My Chapter 2 Project Represents "HOT SAUCE VALUES."

The photo above represents the inequalities I received when took each amount of Green Peppers and Hot Peppers. Instead of actually solving them, I used them to come up with a graph to represent of each of the item.

*The green shading represents when the X and Y axis cross within one another.

*On my x-axis I decided to go by 2's and on y axis i also went by 2's.

-My constraints of Green Peppers are: 5x+4y<1050

-My constraints of Hot Chili Peppers are 4x+8y<1200

The four photos above represent 2 different types of hot sauce, Texaspete "SCORCHIN HOT" and Frank's Red Hot ("RED HOT"). The sizes differentiate from small to a larger quantity in ounces. The smaller Texaspete Hot sauce is about $1.00 for 6oz. (17g), the larger version of Texaspete is about $2.00 for 12 oz. (340g). If you were to purchase a pack of 6 12oz Texaspete hot sauce your total would round about $14 because each bottle is worth "$2.00" and you're purchasing 6 bottles; after sale tax ($0.07) you're amount would vary between $12-14,

The Frank's Red Hot Sauce is about $1.30 for 5oz. (14g), as you can tell the Texaspete smaller bottle contains a little more than Frank's and is also $0.30 cheaper. The larger item of Frank's Red Hot is about $2.70 for 12 oz. (340g). If you were to go Sam's Club and Purchase a 64oz. bottle of Frank's Red Hot, your total would amount to about $6-7 (after sale tax). There are about 5 of the 12 oz bottles in you're 64 oz container therefore your price would range between $6 - $6.80 even $7.00.

Seeing the difference between each of the results, you will be better off buying the 64 oz. of Frank's Red Hot because it contains more substance and also is cheaper. If you were trying to decide whether or not to purchase a smaller Red Hot or Texaspete, then you would be better buying the smaller Texaspete because you receive more and also it's cheaper by $0.30.

-After breaking down each part above, you will have to decide how much sauce to produce. You know that your profit is about $1.20; P=1.2x+y. After graphing you will have to plug your points back into your inequality. P=1.2(74)+146 ... my profit is now MAXIMIZED to $234.80 ... P=1.2(0)+150=150.... P=1.2(150)+150=330.... when 150 units of hot sauce 1 (Scorchin Hot) and 150 units of hot sauce 2 are produced.

The selling price that I would set for each sauce to maintain profit would have to be Red Hot (64 oz): original price $6.67 ... MY price: $7.99 .. Texas Pete (Scorchin Hot): 6 (12oz): original price: $14.87 ... MY price: $15.99.

Above represents my finish product. The graph represents the tracking after each week; every week, 4 weeks, or 8 weeks represents. The numbers located on the left represents the number of pints the particular store receives.

(Photos Cited)

Works Cited

*Frank's Red Hot*. N.d. *Groceries Express*. Web. 11 Apr. 2014.

*Texas Pete Hot Sauce*. N.d. Web. 11 Apr. 2014.