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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)
?
