The grade 10 class has decided to host a bake sale to raise money for a class trip. Each student is required to bake 2 types of goods for sale. You have decided to bake chocolate chip cookies and lemon squares. From previous experience you know that it takes 15 minutes to bake 1 batch of cookies, while it takes 30 minutes to bake 1 batch of lemon squares. You can sell 1 batch of cookies for 6000 MNT(tugriks) and 1 batch of lemon squares for 10000 MNT(tugriks). Unfortunately you only have so many ingredients so you must bake between 3 and 6 batches of lemon squares. You also only have enough ingredients to bake up to 10 batches of cookies. No students are allowed to bring more than 12 total batches. If you have only 4 hours of free time to bake: HOW MANY BATCHES OF EACH SHOULD YOU MAKE IN ORDER TO MAXIMIZE THE BAKE SALE’S PROFIT?

Question

01-11-2021
Mathematics

Answered

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The grade 10 class has decided to host a bake sale to raise money for a class trip. Each student is required to bake 2 types of goods for sale. You have decided to bake chocolate chip cookies and lemon squares. From previous experience you know that it takes 15 minutes to bake 1 batch of cookies, while it takes 30 minutes to bake 1 batch of lemon squares. You can sell 1 batch of cookies for 6000 MNT(tugriks) and 1 batch of lemon squares for 10000 MNT(tugriks). Unfortunately you only have so many ingredients so you must bake between 3 and 6 batches of lemon squares. You also only have enough ingredients to bake up to 10 batches of cookies. No students are allowed to bring more than 12 total batches. If you have only 4 hours of free time to bake: HOW MANY BATCHES OF EACH SHOULD YOU MAKE IN ORDER TO MAXIMIZE THE BAKE SALE’S PROFIT?

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