
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Maria Ivanovna decided to use the services of an online clothing store and purchase summer clothes: trousers, a skirt, a jacket, and a blouse. Being a regular customer of this store, Maria Ivanovna received information about two ongoing promotions. The first promotion allows the customer to use an electronic coupon worth 1000 rubles, which gives the possibility to pay no more than 15% of the cost of the items ordered in the store. The second promotion allows the customer to get every third item, which is the least expensive, for free. The online store offers the option to pick up the items from any pickup point located in the city where Maria Ivanovna lives, or have them delivered to any address in the city. Delivery of one order from a pickup point costs 100 rubles, and delivery to the specified address costs 350 rubles if the order cost is no more than 5000 rubles. If the order cost is more than 5000 rubles, the delivery to the specified address is free. Maria Ivanovna picked the following set of clothes:

| Trousers | 2800 rub. |
| Skirt | 1300 rub. |
| Jacket | 2600 rub. |
| Blouse | 900 rub. |

a) What is the least amount of money Maria Ivanovna can pay for her purchases, including delivery, if the promotions in the online store cannot be combined (cannot be used simultaneously)?

b) Explain why Maria Ivanovna's actual expenses for this purchase in the online store may be higher than the amount of money found in the previous part. (20 points)

Present the answer in LaTex format: \boxed{Your answer}
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