You are the owner of a bakery that sells two types of small cakes: strawberry and chocolate. Making one batch of strawberry cakes takes 1 hour of an employee A’s time, and 2 hours of employee B’s time. Making one batch of chocolate cakes takes 2 hours of employee A’s time and 1 hour of employee B’s time. Employee A works 8 hours a day and employee B works only 7 hours a day. Every day, you need to produce at least 1 batch of strawberry cakes. You also have enough chocolate to make at most 4 batches of chocolate cakes every day. One batch of strawberry and chocolate cakes sells at $37 and $55, respectively. It costs $30 and $45 to make a batch of strawberry and chocolate cakes, respectively. Your cakes are so good that all cakes can be sold. Determine the number of batches of strawberry cakes, and the number of batches of chocolate cakes produced per day to maximize daily profit.
You are the owner of a bakery that sells two types of small cakes: strawberry and chocolate. Making one batch of strawberry cakes takes 1 hour of an employee A’s time, and 2 hours of employee B’s time. Making one batch of chocolate cakes takes 2 hours of employee A’s time and 1 hour of employee B’s time. Employee A works 8 hours a day and employee B works only 7 hours a day. Every day, you need to produce at least 1 batch of strawberry cakes. You also have enough chocolate to make at most 4 batches of chocolate cakes every day. One batch of strawberry and chocolate cakes sells at $37 and $55, respectively. It costs $30 and $45 to make a batch of strawberry and chocolate cakes, respectively. Your cakes are so good that all cakes can be sold.
Determine the number of batches of strawberry cakes, and the number of batches of chocolate cakes produced per day to maximize daily profit.
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