a baker has only 21 cups of sugar, 24 eggs, and 20 sticks of butter. he makes sponge cakes and pound...

A baker has only 21 cups of sugar , 24 eggs, and 20 sticks of butter.He makes sponge cakes and pound cakes.To make 1 sponge cake he needs 3 cups of sugar , 3 eggs, and 1 stick of butter.To make 1 pound cake he needs 1 cup of sugar , 2 eggs, and 2 sticks of butter.

How many of each kind of cake should he make to:

1.) maximize the number of cakes?_______

2.) maximize the number of servings if a sponge cake serves 12 and a pound cake serves 5?_______

A baker has only 21 cups of sugar , 24 eggs, and 20 sticks of butter.He makes sponge cakes and pound cakes.To make 1 sponge cake he needs 3 cups of sugar , 3 eggs, and 1 stick of butter.To make 1 pound cake he needs 1 cup of sugar , 2 eggs, and 2 sticks of butter.

Let x = # sponge cakes he makes

Let y = # pound cakes he makes

How many of each kind of cake should he make to:

1.) maximize the number of cakes?_______

2.) maximize the number of servings if a sponge cake serves 12 and a pound cake serves 5?_______

A baker has only 21 cups of sugar , 24 eggs, and 20 sticks of butter.He makes sponge cakes and pound cakes.To make 1 sponge cake he needs 3 cups of sugar , 3 eggs, and 1 stick of butter.To make 1 pound cake he needs 1 cup of sugar , 2 eggs, and 2 sticks of butter.

Let x = # sponge cakes he makes

Let y = # pound cakes he makes

What are the constraints?

A baker has only 21 cups of sugar , 24 eggs, and 20 sticks of butter.He makes sponge cakes and pound cakes.To make 1 sponge cake he needs 3 cups of sugar , 3 eggs, and 1 stick of butter.To make 1 pound cake he needs 1 cup of sugar , 2 eggs, and 2 sticks of butter.

Let x = # sponge cakes he makes

Let y = # pound cakes he makes

What are the constraints? 21 cups of sugar , 24 eggs, and 20 sticks of butter

A baker has only 21 cups of sugar , 24 eggs, and 20 sticks of butter.He makes sponge cakes and pound cakes.To make 1 sponge cake he needs 3 cups of sugar , 3 eggs, and 1 stick of butter.To make 1 pound cake he needs 1 cup of sugar , 2 eggs, and 2 sticks of butter.

Let x = # sponge cakes he makes

Let y = # pound cakes he makes

What are the constraints? 21 cups of sugar , 24 eggs, and 20 sticks of butter

# cups of sugar he uses ≤ 21

# eggs he uses ≤ 24

# sticks of butter he uses ≤ 20

A baker has only 21 cups of sugar , 24 eggs, and 20 sticks of butter.He makes sponge cakes and pound cakes.To make 1 sponge cake he needs 3 cups of sugar , 3 eggs, and 1 stick of butter.To make 1 pound cake he needs 1 cup of sugar , 2 eggs, and 2 sticks of butter.

Let x = # sponge cakes he makes

Let y = # pound cakes he makes

# cups of sugar he uses ≤ 21# cups in sponge cakes + # cups in pound cakes ≤ 21

# eggs he uses ≤ 24# eggs in sponge cakes + # eggs in pound cakes ≤ 24

# sticks of butter he uses ≤ 20# sticks in sponge cakes + # sticks in pound cakes ≤ 20

A baker has only 21 cups of sugar , 24 eggs, and 20 sticks of butter.He makes sponge cakes and pound cakes.To make 1 sponge cake he needs 3 cups of sugar , 3 eggs, and 1 stick of butter.To make 1 pound cake he needs 1 cup of sugar , 2 eggs, and 2 sticks of butter.

Let x = # sponge cakes he makes

Let y = # pound cakes he makes

# cups of sugar he uses ≤ 21# cups in sponge cakes + # cups in pound cakes ≤ 21 3x + 1y ≤ 21 # eggs he uses ≤ 24

# eggs in sponge cakes + # eggs in pound cakes ≤ 24

# sticks of butter he uses ≤ 20# sticks in sponge cakes + # sticks in pound cakes ≤ 20

A baker has only 21 cups of sugar , 24 eggs, and 20 sticks of butter.He makes sponge cakes and pound cakes.To make 1 sponge cake he needs 3 cups of sugar , 3 eggs, and 1 stick of butter.To make 1 pound cake he needs 1 cup of sugar , 2 eggs, and 2 sticks of butter.

Let x = # sponge cakes he makes

Let y = # pound cakes he makes

# cups of sugar he uses ≤ 21# cups in sponge cakes + # cups in pound cakes ≤ 21 3x + 1y ≤ 21 # eggs he uses ≤ 24

# eggs in sponge cakes + # eggs in pound cakes ≤ 24 3x + 2y ≤ 24

# sticks of butter he uses ≤ 20# sticks in sponge cakes + # sticks in pound cakes ≤ 20

A baker has only 21 cups of sugar , 24 eggs, and 20 sticks of butter.He makes sponge cakes and pound cakes.To make 1 sponge cake he needs 3 cups of sugar , 3 eggs, and 1 stick of butter.To make 1 pound cake he needs 1 cup of sugar , 2 eggs, and 2 sticks of butter.

Let x = # sponge cakes he makes

Let y = # pound cakes he makes

# cups of sugar he uses ≤ 21# cups in sponge cakes + # cups in pound cakes ≤ 21 3x + 1y ≤ 21 # eggs he uses ≤ 24

# eggs in sponge cakes + # eggs in pound cakes ≤ 24 3x + 2y ≤ 24

# sticks of butter he uses ≤ 20# sticks in sponge cakes + # sticks in pound cakes ≤ 20 1x + 2y ≤ 20

A baker has only 21 cups of sugar , 24 eggs, and 20 sticks of butter.He makes sponge cakes and pound cakes.To make 1 sponge cake he needs 3 cups of sugar , 3 eggs, and 1 stick of butter.To make 1 pound cake he needs 1 cup of sugar , 2 eggs, and 2 sticks of butter.

Let x = # sponge cakes he makes

Let y = # pound cakes he makes

# cups of sugar he uses ≤ 21# cups in sponge cakes + # cups in pound cakes ≤ 21 3x + 1y ≤ 21 # eggs he uses ≤ 24

# eggs in sponge cakes + # eggs in pound cakes ≤ 24 3x + 2y ≤ 24

# sticks of butter he uses ≤ 20# sticks in sponge cakes + # sticks in pound cakes ≤ 20 1x + 2y ≤ 20

A baker has only 21 cups of sugar , 24 eggs, and 20 sticks of butter.He makes sponge cakes and pound cakes.To make 1 sponge cake he needs 3 cups of sugar , 3 eggs, and 1 stick of butter.To make 1 pound cake he needs 1 cup of sugar , 2 eggs, and 2 sticks of butter.

Let x = # sponge cakes he makes

Let y = # pound cakes he makes

# cups of sugar he uses ≤ 21# cups in sponge cakes + # cups in pound cakes ≤ 21 3x + 1y ≤ 21 # eggs he uses ≤ 24

# eggs in sponge cakes + # eggs in pound cakes ≤ 24 3x + 2y ≤ 24

# sticks of butter he uses ≤ 20# sticks in sponge cakes + # sticks in pound cakes ≤ 20 1x + 2y ≤ 20

A baker has only 21 cups of sugar , 24 eggs, and 20 sticks of butter.He makes sponge cakes and pound cakes.To make 1 sponge cake he needs 3 cups of sugar , 3 eggs, and 1 stick of butter.To make 1 pound cake he needs 1 cup of sugar , 2 eggs, and 2 sticks of butter.x = # sponge cakes he makes y = # pound cakes he makes

3x + 1y ≤ 213x + 2y ≤ 241x + 2y ≤ 20

A baker has only 21 cups of sugar , 24 eggs, and 20 sticks of butter.He makes sponge cakes and pound cakes.To make 1 sponge cake he needs 3 cups of sugar , 3 eggs, and 1 stick of butter.To make 1 pound cake he needs 1 cup of sugar , 2 eggs, and 2 sticks of butter.x = # sponge cakes he makes y = # pound cakes he makes 3x + 1y ≤ 213x + 2y ≤ 241x + 2y ≤ 20

A baker has only 21 cups of sugar , 24 eggs, and 20 sticks of butter.He makes sponge cakes and pound cakes.To make 1 sponge cake he needs 3 cups of sugar , 3 eggs, and 1 stick of butter.To make 1 pound cake he needs 1 cup of sugar , 2 eggs, and 2 sticks of butter.x = # sponge cakes he makes y = # pound cakes he makes 3x + 1y ≤ 213x + 2y ≤ 241x + 2y ≤ 20

3x + 1y ≤ 21

0 21

A baker has only 21 cups of sugar , 24 eggs, and 20 sticks of butter.He makes sponge cakes and pound cakes.To make 1 sponge cake he needs 3 cups of sugar , 3 eggs, and 1 stick of butter.To make 1 pound cake he needs 1 cup of sugar , 2 eggs, and 2 sticks of butter.x = # sponge cakes he makes y = # pound cakes he makes 3x + 1y ≤ 213x + 2y ≤ 241x + 2y ≤ 20

3x + 1y ≤ 21

7 0

A baker has only 21 cups of sugar , 24 eggs, and 20 sticks of butter.He makes sponge cakes and pound cakes.To make 1 sponge cake he needs 3 cups of sugar , 3 eggs, and 1 stick of butter.To make 1 pound cake he needs 1 cup of sugar , 2 eggs, and 2 sticks of butter.x = # sponge cakes he makes y = # pound cakes he makes 3x + 1y ≤ 213x + 2y ≤ 241x + 2y ≤ 20

stay under this lineor you run out ofsugar

A baker has only 21 cups of sugar , 24 eggs, and 20 sticks of butter.He makes sponge cakes and pound cakes.To make 1 sponge cake he needs 3 cups of sugar , 3 eggs, and 1 stick of butter.To make 1 pound cake he needs 1 cup of sugar , 2 eggs, and 2 sticks of butter.x = # sponge cakes he makes y = # pound cakes he makes 3x + 1y ≤ 213x + 2y ≤ 241x + 2y ≤ 20

3x + 2y ≤ 24

0 12

A baker has only 21 cups of sugar , 24 eggs, and 20 sticks of butter.He makes sponge cakes and pound cakes.To make 1 sponge cake he needs 3 cups of sugar , 3 eggs, and 1 stick of butter.To make 1 pound cake he needs 1 cup of sugar , 2 eggs, and 2 sticks of butter.x = # sponge cakes he makes y = # pound cakes he makes 3x + 1y ≤ 213x + 2y ≤ 241x + 2y ≤ 20

3x + 2y ≤ 24

8 0

A baker has only 21 cups of sugar , 24 eggs, and 20 sticks of butter.He makes sponge cakes and pound cakes.To make 1 sponge cake he needs 3 cups of sugar , 3 eggs, and 1 stick of butter.To make 1 pound cake he needs 1 cup of sugar , 2 eggs, and 2 sticks of butter.x = # sponge cakes he makes y = # pound cakes he makes 3x + 1y ≤ 213x + 2y ≤ 241x + 2y ≤ 20

stay under this lineor you run out ofeggs

A baker has only 21 cups of sugar , 24 eggs, and 20 sticks of butter.He makes sponge cakes and pound cakes.To make 1 sponge cake he needs 3 cups of sugar , 3 eggs, and 1 stick of butter.To make 1 pound cake he needs 1 cup of sugar , 2 eggs, and 2 sticks of butter.x = # sponge cakes he makes y = # pound cakes he makes 3x + 1y ≤ 213x + 2y ≤ 241x + 2y ≤ 20

1x + 2y ≤ 20

0 10

A baker has only 21 cups of sugar , 24 eggs, and 20 sticks of butter.He makes sponge cakes and pound cakes.To make 1 sponge cake he needs 3 cups of sugar , 3 eggs, and 1 stick of butter.To make 1 pound cake he needs 1 cup of sugar , 2 eggs, and 2 sticks of butter.x = # sponge cakes he makes y = # pound cakes he makes 3x + 1y ≤ 213x + 2y ≤ 241x + 2y ≤ 20

1x + 2y ≤ 20

20 0

A baker has only 21 cups of sugar , 24 eggs, and 20 sticks of butter.He makes sponge cakes and pound cakes.To make 1 sponge cake he needs 3 cups of sugar , 3 eggs, and 1 stick of butter.To make 1 pound cake he needs 1 cup of sugar , 2 eggs, and 2 sticks of butter.x = # sponge cakes he makes y = # pound cakes he makes 3x + 1y ≤ 213x + 2y ≤ 241x + 2y ≤ 20

stay under this lineor you run out ofbutter

A baker has only 21 cups of sugar , 24 eggs, and 20 sticks of butter.He makes sponge cakes and pound cakes.To make 1 sponge cake he needs 3 cups of sugar , 3 eggs, and 1 stick of butter.To make 1 pound cake he needs 1 cup of sugar , 2 eggs, and 2 sticks of butter.x = # sponge cakes he makes y = # pound cakes he makes 3x + 1y ≤ 213x + 2y ≤ 241x + 2y ≤ 20

the best answer is one of these points

(7,0)

(0,10)

(2,9)

(6,3)

A baker has only 21 cups of sugar , 24 eggs, and 20 sticks of butter.He makes sponge cakes and pound cakes.To make 1 sponge cake he needs 3 cups of sugar , 3 eggs, and 1 stick of butter.To make 1 pound cake he needs 1 cup of sugar , 2 eggs, and 2 sticks of butter.x = # sponge cakes he makes y = # pound cakes he makes 3x + 1y ≤ 213x + 2y ≤ 241x + 2y ≤ 20

the best answer is one of these points

(7,0)

(0,10)

(2,9)

(6,3)How many of each kind of cake should he make to:

1.) maximize the number of cakes?_______2.) maximize the number of servings if a sponge cake serves 12 and a pound cake serves 5?_______

A baker has only 21 cups of sugar , 24 eggs, and 20 sticks of butter.He makes sponge cakes and pound cakes.To make 1 sponge cake he needs 3 cups of sugar , 3 eggs, and 1 stick of butter.To make 1 pound cake he needs 1 cup of sugar , 2 eggs, and 2 sticks of butter.x = # sponge cakes he makes y = # pound cakes he makes 3x + 1y ≤ 213x + 2y ≤ 241x + 2y ≤ 20

the best answer is one of these points

(7,0) #cakes = 7

(0,10) #cakes = 10

(2,9) #cakes = 11

(6,3) #cakes = 9How many of each kind of cake should he make to:

1.) maximize the number of cakes?_______2.) maximize the number of servings if a sponge cake serves 12 and a pound cake serves 5?_______

2sponge,9pound

A baker has only 21 cups of sugar , 24 eggs, and 20 sticks of butter.He makes sponge cakes and pound cakes.To make 1 sponge cake he needs 3 cups of sugar , 3 eggs, and 1 stick of butter.To make 1 pound cake he needs 1 cup of sugar , 2 eggs, and 2 sticks of butter.x = # sponge cakes he makes y = # pound cakes he makes 3x + 1y ≤ 213x + 2y ≤ 241x + 2y ≤ 20

the best answer is one of these points

(7,0) #servings=84

(0,10) #servings = 50

(2,9) #servings = 69

(6,3) #servings=87How many of each kind of cake should he make to:

1.) maximize the number of cakes?_______2.) maximize the number of servings if a sponge cake serves 12 and a pound cake serves 5?_______

2sponge,9pound

6sponge,3pound

A baker has only 21 cups of sugar , 24 eggs, and 20 sticks of butter.He makes sponge cakes and pound cakes.To make 1 sponge cake he needs 3 cups of sugar , 3 eggs, and 1 stick of butter.To make 1 pound cake he needs 1 cup of sugar , 2 eggs, and 2 sticks of butter.x = # sponge cakes he makes y = # pound cakes he makes 3x + 1y ≤ 213x + 2y ≤ 241x + 2y ≤ 20

(7,0)

(0,10)

(2,9)

(6,3)

?