Just a piece of cake

Algebra Level 5

You are running a bakery business with 2 popular strawberry cheesecake products: A & B. Each "cheesy" cheesecake A contains 5 cheese slices in its ingredients while each cheesecake B only needs 3 cheese slices. On the other hand, each "very-strawberry" cheesecake B has 10 strawberries while each cheesecake A has only 5 strawberries. Everyday, there are 240 cheese slices and 300 strawberries available for baking in your stock.

The amount of each kind of cheesecake baked is not fixed, but the total number of cheesecakes must not exceed 50 in one day. (One kind may be baked while the other may not be baked at all.)

If you can profit 2 dollars from each cheesecake A and 3 dollars from each cheesecake B, what is the maximum profit you can earn from selling these cakes in one day? (Assume they are always sold out as they are so yummy!)

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