SOLUTION: Tray of corn muffins takes 4 c. milk and 3 c. flour for a profit of $3. Tray of bran muffins takes 2 c. milk and 3 c. flour for a profit of $2. Have only 16 c. milk and 15 c. flo

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Tray of corn muffins takes 4 c. milk and 3 c. flour for a profit of $3. Tray of bran muffins takes 2 c. milk and 3 c. flour for a profit of $2. Have only 16 c. milk and 15 c. flo      Log On


   

Question 52762This question is from textbook Algebra 2--NC
: Tray of corn muffins takes 4 c. milk and 3 c. flour for a profit of $3.
Tray of bran muffins takes 2 c. milk and 3 c. flour for a profit of $2.
Have only 16 c. milk and 15 c. flour. How many trays of each type of muffin should you make to maximize profit? This question is from textbook Algebra 2--NC

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Tray of corn muffins takes 4 c. milk and 3 c. flour for a profit of $3.
:
Tray of bran muffins takes 2 c. milk and 3 c. flour for a profit of $2.
:
Have only 16 c. milk and 15 c. flour.
:
How many trays of each type of muffin should you make to maximize profits?
:
Let x = number of corn muffin trays
:
Let y = number of bran muffin trays
:
The milk equation: 4x + 2y =< 16
:
The flour equation: 3x + 3y =< 15
:
Simplify and solve these equations: 1st eq divide by 2, 2nd eq divide 3:
2x + y = 8
x + y = 5
----------- subtract
x + 0x = 3
:
x = 3 trays of corn muf
:
y = 5 - 3 = 2 trays of bran
:
Max profit 3($3) + 2($2) = $13.00 and utilizes all the ingrediants