yóuyú zhège yùnyíngshāng de tàocān tài guì, yīncǐ wǒmen méiyǒu kāihù.

Yes — together they form a cause-and-result pair:

• 由于 ... = due to / because of ...
• 因此 ... = therefore / as a result ...

So the sentence structure is:

• 由于 X，因此 Y
• Because of X, therefore Y
• More natural English: Because X, Y / Due to X, Y happened

In this sentence:

• 由于这个运营商的套餐太贵 = Because this carrier’s plans are too expensive
• 因此我们没有开户 = therefore we didn’t open an account / sign up

Using both sounds a bit more formal and written than everyday speech.

Yes.

All of these are possible:

1. 由于这个运营商的套餐太贵，因此我们没有开户。

   • formal, complete cause-result structure

2. 由于这个运营商的套餐太贵，我们没有开户。

   • still correct

3. 这个运营商的套餐太贵，因此我们没有开户。

   • also correct

In everyday spoken Mandarin, people are often more likely to say:

• 因为这个运营商的套餐太贵，所以我们没有开户。

That is the more common spoken equivalent of 由于...因此...

Yes.

A good general rule is:

• 因为...所以... = common, neutral, often spoken
• 由于...因此... = more formal, more common in writing, reports, announcements, or careful speech

So your sentence sounds natural, but a bit more written/formal than casual conversation.

运营商 means operator or service provider.

In this sentence, it most likely refers to a:

• telecom carrier
• mobile network operator
• internet provider

So 这个运营商 means:

• this carrier
• this service provider

Common examples:

• 手机运营商 = mobile carrier
• 网络运营商 = network operator / internet provider

Originally, 套餐 can mean a set meal in food contexts, but it is also very commonly used for a service package / plan / bundle.

In telecom or internet contexts, 套餐 means something like:

• plan
• package
• subscription bundle

So here 这个运营商的套餐 means:

• this carrier’s plans
• the service packages offered by this provider

Examples:

• 手机套餐 = phone plan
• 流量套餐 = data plan
• 家庭宽带套餐 = home broadband package

的 marks possession or modification.

So:

• 这个运营商 = this carrier
• 这个运营商的套餐 = this carrier’s plans

It works much like English 's or of:

• 我的手机 = my phone
• 公司的政策 = the company’s policy
• 这个运营商的套餐 = this carrier’s plans

Without 的, the phrase would be ungrammatical here.

太贵 means too expensive, while 很贵 means very expensive.

That matters because the sentence is giving a reason for a decision:

• 套餐太贵 = the plans are too expensive, so we didn’t sign up

If you said:

• 套餐很贵 = the plans are very expensive

that describes the price, but 太贵 more clearly suggests excessiveness — expensive enough to cause the result.

So 太贵 fits the logic better.

Because this sentence refers to something that did not happen in the past.

• 没有 + verb = did not do / have not done
• 不 + verb = do not / will not / habitually do not

So:

• 我们没有开户 = we didn’t open an account / we did not sign up
• 我们不开护 or 我们不开户 = we do not open accounts / we won’t open an account

In this context, the speaker is talking about a past decision, so 没有 is correct.

开户 literally means to open an account.

Depending on context, it can be used for:

• a bank account
• a brokerage account
• a telecom/mobile service account

In this sentence, since it mentions an 运营商 and a 套餐, 开户 most naturally means:

• to open an account with the carrier
• to sign up for service
• to activate service

So 我们没有开户 is best understood as:

• we didn’t sign up
• we didn’t open an account with them

It is very common in banking, but it can also be used in other account-based services, including telecom.

That said, in everyday speech about phone service, people might also say things like:

• 办卡 = get a SIM card / sign up for a mobile line
• 办理业务 = handle/apply for service
• 注册 = register
• 开通 = activate

So 开户 is understandable and correct, but the exact most natural word can depend on the specific situation.

Mandarin very often puts the reason first and the result second, especially with structures like:

• 因为...所以...
• 由于...因此...

So the order is:

1. cause
2. result

Here:

1. 由于这个运营商的套餐太贵
2. 因此我们没有开户

This is very natural in Chinese.

You can think of it as:

• Because X, Y rather than
• Y because X

Yes, 这家运营商 is often more natural.

Both are understandable:

• 这个运营商 = this operator / this carrier
• 这家运营商 = this company/provider

Why 家? Because 家 is a measure word commonly used for businesses and establishments.

So:

• 这家公司 = this company
• 这家银行 = this bank
• 这家运营商 = this carrier/provider

Using 这个运营商 is not wrong, but 这家运营商 may sound a bit more idiomatic.

Yes, it helps separate the cause and result parts:

• 由于这个运营商的套餐太贵，
• 因此我们没有开户。

In writing, this comma makes the structure clearer.

In speech, there would usually be a pause there as well.

That is close to the Chinese structure, but it sounds unnatural in English.

A better natural translation would be:

• Because this carrier’s plans were too expensive, we didn’t sign up.
• Since this provider’s package was too expensive, we didn’t open an account.
• Because this operator’s plans were too expensive, we decided not to sign up.

So while the Chinese uses both 由于 and 因此, English usually does not need both because and therefore in the same sentence.

Good question. Chinese adjectives often appear with 很 in simple descriptive sentences, such as:

• 这个套餐很贵。 = This plan is expensive.

But in your sentence, 贵 is already modified by 太:

• 太贵 = too expensive

So there is no need for 很.

Compare:

• 很贵 = expensive / very expensive
• 太贵 = too expensive

Yes. A more conversational version would be:

• 因为这个运营商的套餐太贵，所以我们没开户。

Even more natural depending on context:

• 因为这个运营商的套餐太贵，所以我们没办。
• 因为他们家的套餐太贵，我们就没办。

Notes:

• 没 is the spoken contraction of 没有
• 他们家 can casually refer to a company/provider
• 办 is a very common conversational verb meaning handle / get / sign up for

So your original sentence is correct, but it sounds more formal than everyday spoken Mandarin.