Trying to compute a rate for natural gas: bill shows an amount used; N = 3,100 Mcf

cvalenches

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This has to do with Natural Gas.

The bill shows an amount used; N = 3,100 Mcf
The bill shows a Transportation Charge of X per Mcf

The cost is broken out

The first 100 Mcf cost 1.25 per Mcf
The NEXT 400 Mcf cost .99 per Mcf
The NEXT 1,500 Mcf cost .875 per Mcf
Anything over 2,000 Mcf cost .71 per Mcf

I have two questions:

If I have N and X, how do I figure out A,B,C and D?

If I have A,B,C, D and N, how do I figure out X?

Is it as simple as If N = 3,100
((A*1.25) + (B*.99) + (C*.875) + (D*.71)) / 3,100 ?

There are some other excise taxes and riders that will make up the final total, but we are awaiting final clarification. I just want to make sure that I am doing this portion of the problem correct.
 
This has to do with Natural Gas.

The bill shows an amount used; N = 3,100 Mcf
The bill shows a Transportation Charge of X per Mcf

The cost is broken out

The first 100 Mcf cost 1.25 per Mcf
The NEXT 400 Mcf cost .99 per Mcf
The NEXT 1,500 Mcf cost .875 per Mcf
Anything over 2,000 Mcf cost .71 per Mcf

I have two questions:

If I have N and X, how do I figure out A,B,C and D?

If I have A,B,C, D and N, how do I figure out X?

Is it as simple as If N = 3,100
((A*1.25) + (B*.99) + (C*.875) + (D*.71)) / 3,100 ?

There are some other excise taxes and riders that will make up the final total, but we are awaiting final clarification. I just want to make sure that I am doing this portion of the problem correct.
What are those?
 
What are those?

My apologies, I edited the post and did not update it correctly.

A = The first 100 Mcf rate
B = The next 400 Mcf rate
C = The next 1,500 Mcf rate
D = Anything over 2,000 Mcf rate

So in this case
A = 1.25
B = .99
C = .875
D = .71
 
This has to do with Natural Gas.

The bill shows an amount used; N = 3,100 Mcf
The bill shows a Transportation Charge of X per Mcf

The cost is broken out

The first 100 Mcf cost A = 1.25 per Mcf
The NEXT 400 Mcf cost B = .99 per Mcf
The NEXT 1,500 Mcf cost C = .875 per Mcf
Anything over 2,000 Mcf cost D = .71 per Mcf

I have two questions:

If I have N and X, how do I figure out A,B,C and D?
I don't think one can. Did the exercise you're doing say that you could? If so, what other information did the exercise give you?

If I have A,B,C, D and N, how do I figure out X?
If you have the total number of [M?] cubic feet of natural gas, N, then you can do the computations with A, B, C, and D to find the total portion of the bill which is for the actual natural gas. Then whatever is left is the transport charge (assuming no other fees, etc, on the bill), from which you can figure out the value of X.

Is it as simple as If N = 3,100
((A*1.25) + (B*.99) + (C*.875) + (D*.71)) / 3,100 ?
I'm sorry, but I don't know what this is meant to compute...? When you reply, please include the reasoning by which you arrived at this expression, and the value for which you think it stands. Thank you! ;)
 
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