1. 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?_______

2. 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?_______

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. Let x = # sponge cakes he makes Let y = # pound cakes he makes What are the constraints?

4. 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

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? 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

6. 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

7. 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

8. 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

9. 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

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. 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

11. 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

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 ≤ 21 3x + 2y ≤ 24 1x + 2y ≤ 20

13. 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 ≤ 21 3x + 2y ≤ 24 1x + 2y ≤ 20

14. 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 ≤ 21 3x + 2y ≤ 24 1x + 2y ≤ 20 3x + 1y ≤ 21 021

15. 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 ≤ 21 3x + 2y ≤ 24 1x + 2y ≤ 20 3x + 1y ≤ 21 70

16. 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 ≤ 21 3x + 2y ≤ 24 1x + 2y ≤ 20 stay under this line or you run out of sugar

17. 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 ≤ 21 3x + 2y ≤ 24 1x + 2y ≤ 20 3x + 2y ≤ 24 012

18. 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 ≤ 21 3x + 2y ≤ 24 1x + 2y ≤ 20 3x + 2y ≤ 24 80

19. 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 ≤ 21 3x + 2y ≤ 24 1x + 2y ≤ 20 stay under this line or you run out of eggs

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 ≤ 21 3x + 2y ≤ 24 1x + 2y ≤ 20 010

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 ≤ 21 3x + 2y ≤ 24 1x + 2y ≤ 20 200

22. 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 ≤ 21 3x + 2y ≤ 24 1x + 2y ≤ 20 stay under this line or you run out of butter

23. 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 ≤ 21 3x + 2y ≤ 24 1x + 2y ≤ 20 the best answer is one of these points (7,0) (0,10) (2,9) (6,3)

24. 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 ≤ 21 3x + 2y ≤ 24 1x + 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?_______

25. 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 ≤ 21 3x + 2y ≤ 24 1x + 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 = 9 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?_______ 2sponge,9pound

26. 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 ≤ 21 3x + 2y ≤ 24 1x + 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=87 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?_______ 2sponge,9pound 6sponge,3pound

27. 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 ≤ 21 3x + 2y ≤ 24 1x + 2y ≤ 20 (7,0) (0,10) (2,9) (6,3) ?