Cookies Project
Problem Statement
In a small but successful bakery their 2 most sold items are their “special” brownies and cookies, the brownies cost 2.69 to make and are sold for 10.76, respectively the cookies cost 12.96 to make and are sold for 51.84 for a dozen, it takes 0.1 hrs to make the brownies and 0.15 hrs to make the cookies. But you only have 100 pound of flour and 80 pounds of sugar and only have 10 hours to make more cookies and brownies. Find the maximum amount of cookies and brownies you can make.
Solution
For this page for the cookies final project you will be giving a step by step solution to your own cookies problem. Your solution page should have all of the following:
Brownies
Cookies
Total
Flour
0.14
0.56
100lbs
Sugar
0.37
0.74
80lbs
Time
0.1
0.15
15hrs
Flour= 0.14 b + 0.56 c ≤ 100
Sugar= 0.37 b + 0.74 c ≤ 80
Time= 0.1 b + 0.15 c ≤ 15
X= brownies
Y=cookies
The best three answer for fusible region are-
X-200 y-0
X-0 y-108
X-151 y-32
Ans 1- $2152 total money made, $538 total money spent making brownies, so ∴ we make $1612 in profit.
Ans 2- $5598 total money made,$1399 total money spent making cookies, so we ∴ make $4199 in profit.
Ans 3-$3282 total money made,$820 total money spent making both cookies and brownies, so ∴ we make $2462 in profit
∴Ans 2 is the best for our store.
Reflection
In a small but successful bakery their 2 most sold items are their “special” brownies and cookies, the brownies cost 2.69 to make and are sold for 10.76, respectively the cookies cost 12.96 to make and are sold for 51.84 for a dozen, it takes 0.1 hrs to make the brownies and 0.15 hrs to make the cookies. But you only have 100 pound of flour and 80 pounds of sugar and only have 10 hours to make more cookies and brownies. Find the maximum amount of cookies and brownies you can make.
Solution
For this page for the cookies final project you will be giving a step by step solution to your own cookies problem. Your solution page should have all of the following:
- Steps labeled
- Tables outlining all of your constraints
- Screenshot of your feasible region in desmos, and the link to your desmos graph
- A list of possible best solutions and profits for each.
- One sentence stating which solution is best.
Brownies
Cookies
Total
Flour
0.14
0.56
100lbs
Sugar
0.37
0.74
80lbs
Time
0.1
0.15
15hrs
Flour= 0.14 b + 0.56 c ≤ 100
Sugar= 0.37 b + 0.74 c ≤ 80
Time= 0.1 b + 0.15 c ≤ 15
X= brownies
Y=cookies
The best three answer for fusible region are-
X-200 y-0
X-0 y-108
X-151 y-32
Ans 1- $2152 total money made, $538 total money spent making brownies, so ∴ we make $1612 in profit.
Ans 2- $5598 total money made,$1399 total money spent making cookies, so we ∴ make $4199 in profit.
Ans 3-$3282 total money made,$820 total money spent making both cookies and brownies, so ∴ we make $2462 in profit
∴Ans 2 is the best for our store.
Reflection
- In what ways has the cookies project helped you gain perspective on doing real world mathematics?
- What was something that led to a deeper understanding of the problem and why?
- What is something challenging for you during this unit, and how did you overcome that challenge?
- What is something you are proud of from this unit, and if you were to do this project again how would you refine it further?