How many of each kind? (Cookies)
A. Self assessment - Reflection
I learned that there are really easy ways to solve problems if you know just what to do. And by knowing just what to do I mean understanding inequalities. I personally believe I deserve a 20/25 for the problem, as I did some of the work/found profits and tested some of the points, although I did it without inequalities (Because I forgot they existed.) Even though I didn't use inequalities I did use some habits of math such as Working backwards, Persistence, Collaboration. Persistence, the way I used this is. That it's a hard problem and because there's so many factors (Constraints) the problem takes a wile regardless if its "Easy" or "Hard". Collaboration, the way I used this is as simple as the fact we were working as a group I asked my group mates for help and vis versa.
B. Problem Statement
This question is asking to figure out how much money certain people could make by selling cookies, although there are constraints like certain amount of cooking time, cookie dough ETC. Ok so lets say theres a cookie company that knows that they will sell all the cookies that they make, BUT they can only make a certain amount, and they need to figure out how much money they can possibly make. With only 110 pounds of cookie dough, 32 pounds of icing, 15 hours cooking time, 140 dozen cookies for oven space, Plain cookies take 0.1 hours to make and Iced take 0.15 hours to make. Each dozen of plain cookies takes 1 pound of dough to make, each dozen of iced 0.7 pounds of cookie dough and 0.4 pounds of icing. And find out what the highest possible profit is with that information.
C. Process Description
Well how my group solved this problem? We began just by noticing that iced cookies sell for more than plain so we proceeded to make as much iced cookies as possible and leave the rest as plain (Once all the icing ran out). That managed to make a profit of 160 dollars and that was lower than we expected. Then we tried 50/50 and that got us a pretty high amount (175 dollars). We finally got our highest amount 70/50, since we thought this to be the highest we stopped here.
D. Solution
Most of the time we used conjuncture and test to find out the answer, guessing and checking mostly to find the highest answer. Thats how we came up with 75 plain 50 iced. This gave us a total profit of 212.50 dollars this like previously stated was believed by my group to be the highest.
Also for the solution we created graphs to show a MAXIMUM profit. Here is ours.
We as well had to come up with designs of cookies Iced/Plain
Iced Cookies : U.S.S Enterprise NCC 1701 (No I did not make these but they look like what I wanted)
Plain : T.A.R.D.I.S Time and relative dimension in space (No I didn't make it but I like the way it looks)