Question 22. On the occasion of the Mid-Autumn Festival, the onion factory wants to produce two types of cakes: pies and cakes.
flexible. To produce these two types of cakes, the factory needs: sugar, flour, eggs, pumpkin jam, sausage... The factory
imported 600kg of flour and 240kg of sugar, other ingredients always met the quantity required.

It seems like we’re missing some information to fully address this question, such as the amount of each ingredient required per cake type (pies and flexible cakes) or the goal (e.g., maximizing production, minimizing costs, etc.).

Could you please provide:
1. The amount of flour and sugar needed per pie and per flexible cake.
2. Any production limits or goals, such as the maximum number of cakes the factory can produce or a preferred product ratio.

With this additional information, I can set up and solve the problem, typically using a system of inequalities to determine the production quantities based on the available ingredients. 

Would you like to provide these details? 

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### Follow-up Questions

1. How much flour and sugar does each type of cake require?
2. Are there specific limits to the number of pies or flexible cakes to produce?
3. Is the goal to maximize the number of cakes, maximize profits, or minimize ingredient use?
4. Are there any additional constraints, such as production time or oven capacity?
5. Should we account for ingredient costs or just the quantities?

### Tip
In production optimization problems, try to clearly identify resources and constraints before setting up equations or inequalities.

On the occasion of the Mid-Autumn Festival, the onion factory wants to produce two types of cakes: pies and flexible cakes. The factory imported 600kg of flour and 240kg of sugar, other ingredients always met the quantity required.

Explore how to optimize the production of pies and flexible cakes using 600kg of flour and 240kg of sugar. This detailed guide covers key concepts in linear programming and inequalities, ideal for students in Grades 9-12.

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