Solve Fortran 90 Homework Stuck on Calculating Tax

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Discussion Overview

The discussion revolves around a Fortran 90 homework problem focused on calculating tax based on user-defined tax brackets and percentages. Participants explore how to implement the logic for tax calculation, particularly in cases where income is less than or greater than the sum of the defined brackets.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant describes the program's requirements, detailing how to input the number of tax brackets, their values, and corresponding percentages.
  • Another participant points out inconsistencies in the example run, questioning the number of tax rates provided relative to the number of brackets and the values of the brackets themselves.
  • A suggestion is made to clarify how tax rates apply to different income ranges, proposing specific calculations for various income thresholds.
  • A participant proposes a method for determining the position of income within the defined intervals and suggests a formula for calculating tax based on these intervals.
  • Multiple participants emphasize the need for conditional statements to compute tax accurately based on income ranges.

Areas of Agreement / Disagreement

There is no consensus on the correct interpretation of the tax calculation logic, as participants have differing views on how to structure the tax brackets and apply the percentages. The discussion remains unresolved with competing approaches presented.

Contextual Notes

Participants express uncertainty regarding the definitions of tax brackets and percentages, as well as the handling of income values that fall within or outside the defined ranges. There are also unresolved issues regarding the clarity of the example provided.

ParisSpart
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Homework Statement


The program should make should calculate the tax that corresponds to some income. The user gives

1. A natural number n is the length of the list to the bracket 2 (see next section) and one minus the length of the list percent to 3 (see the paragraph after next) and also equal to the number of rows in the table above except the line- header and the last line. In the above table the value of n is 7. We have 1 <= n <= 9.

Register as an integer :: n.

2. A list of real numbers corresponding to the first column of the table above except the heading and the last element (which can be calculated as the sum of all elements above it). The length of the list is n (the user is given) and the maximum length is 10.

Declare as real :: bracket (10).

3. A list of real numbers in [0.100] for the second column of the table above except header. The length of the list is n +1 (the n has given the user) and the maximum length is 10.

Declare as real :: percent (10).

4. Income.

Declare it as real :: income.

A model of dialogue with the user program is below. In italics are what gives the user:

How many tax brackets?

3

Tax bracket 1:

10000

Percentage for tax bracket 1:

5

Tax bracket 2:

5000

Percentage for tax bracket 2:

10

Tax bracket 3:

7000

Percentage for tax bracket 3:

20
Percentage for tax bracket 4:

25

What is your income?

26000

Your tax is 3400.0000



Homework Equations


i stucked at the point of finding the tax i don't know how to do it.Still how we can to do the part of finding the tax if income<(sum of brackets)in the dialogue of the exapmle sush as 20.000 instead of 26000.


The Attempt at a Solution



program tax
implicit none

integer :: n, i, j
real :: bracket(0:10), percent(10), income, tax, sum1, sum2, sum3, sum4

do
print *, "Give number of tax brackets (1<=n<=9)"
read *, n
if ((1<=n) .and. (n<=9)) exit
end do

do i=1,n
do
print *, "Give tax bracket No", i, ", a positive number"
read *, bracket(i)
if(bracket(i)>0) exit
end do
do
print *, "Give percentage No", i, " a number between 0 and 100"
read *, percent(i)
if((0<=percent(i)) .and. (percent(i)<=100)) exit
end do
end do
do
print *, "Give percentage No", n+1, " a number between 0 and 100"
read *, percent(n+1)
if((0<=percent(n+1)) .and. (percent(n+1)<=100)) exit
end do

do
print *, "What is your income (a positive number)?"
read *, income
if(0<=income) exit
end do


do i=1,n
sum1=sum1+bracket(i)
end do

do i=1,n
if(income>=sum1) then
sum2=sum2+(percent(i)/100)*bracket(i)
tax=sum2+(percent(n+1)/100)*(income-sum1)



print *, "Your tax is ", tax

end program
 
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ParisSpart said:
i stucked at the point of finding the tax i don't know how to do it.Still how we can to do the part of finding the tax if income<(sum of brackets)in the dialogue of the exapmle sush as 20.000 instead of 26000.
Minor point: There is no such word as "stucked." What you should say is, "I got stuck."

Regarding your question about how to compute the tax, your example run makes no sense. In the sample run, the user has entered 3 for the number of brackets, but there are 4 tax rates.

Also, the first bracket is 10,000, but the second and third are 5,000 and 7,000. Should these be 50,000 and 70,000?

For the tax rates, it's not clear how they apply. Is it 5% on incomes between 0 and 9,999, 10% on incomes between 10,000 and 49,999, 20% on incomes between 50,000 and 69,999, and 25% on everything above 70,000?

When you post code, put a [noparse]
Code:
 tag at the top and a
[/noparse] tag at the bottom. I have done that for your code.
ParisSpart said:
Code:
program tax
 implicit none
 
integer :: n, i, j
 real :: bracket(0:10), percent(10), income, tax, sum1, sum2, sum3, sum4
 
do
 print *, "Give number of tax brackets (1<=n<=9)"
 read *, n
 if ((1<=n) .and. (n<=9)) exit
 end do

 do i=1,n
 do
 print *, "Give tax bracket No", i, ", a positive number"
 read *, bracket(i)
 if(bracket(i)>0) exit
 end do
 do
 print *, "Give percentage No", i, " a number between 0 and 100"
 read *, percent(i)
 if((0<=percent(i)) .and. (percent(i)<=100)) exit
 end do
 end do
 do
 print *, "Give percentage No", n+1, " a number between 0 and 100"
 read *, percent(n+1)
 if((0<=percent(n+1)) .and. (percent(n+1)<=100)) exit
 end do

 do
 print *, "What is your income (a positive number)?"
 read *, income
 if(0<=income) exit
 end do
 

do i=1,n
 sum1=sum1+bracket(i)
 end do

 do i=1,n
 if(income>=sum1) then
 sum2=sum2+(percent(i)/100)*bracket(i)
 tax=sum2+(percent(n+1)/100)*(income-sum1)

 

print *, "Your tax is ", tax
 
end program
 
Assuming for the moment that my interpretation of the problem is correct, here is how you compute the tax.

Incomes between 0 and 9,999: tax = .05 * income
Incomes between 10,000 and 49,999: tax = .05 * 10,000 + .10 * (income - 10,000)
Incomes between 50,000 and 69,999: tax = .05 * 10,000 + .10 * 40,000 + .20 (income - 50,000)
Incomes of 70,000 and above: tax = .05 * 10,000 + .10 * 40,000 + .20 * 20,000 + .25 * (income - 70,000)

You need several IF statements to do the calculation.
 
i think that i found how to do it but , i have a problem how to do the finally step of finding where is the position of income in the intervals here is what i think of finding the tax:Calculated after the table real :: t (0:10) the person pays the income is equal to s (i).

Finally, having calculated the table t (i) and as income for income tax to find (in the variable tax) must decide which of the intervals

[s (0), s (1)], [s (1), s (2)], [s (2), s (3)], ... , [S (n-1), s (n)], [s (n), + \ infty)

is the number of income. If your income is the starting time s (i) (with i = 0,1, ..., n) then the tax is

tax = t (i) + (income-s (i)) * percent (i +1) * 0.01

(code:)
s(0) = 0

do i=1,n
s(i) = s(i-1)+bracket(i)
end do

t(0) = 0

do i=1,n
t(i) = t(i-1)+percent(i)*0.01*bracket(i)
end do
 
Please read what I said in post #3
Incomes between 0 and 9,999: tax = .05 * income
Incomes between 10,000 and 49,999: tax = .05 * 10,000 + .10 * (income - 10,000)
Incomes between 50,000 and 69,999: tax = .05 * 10,000 + .10 * 40,000 + .20 (income - 50,000)
Incomes of 70,000 and above: tax = .05 * 10,000 + .10 * 40,000 + .20 * 20,000 + .25 * (income - 70,000)

You need several IF statements to do the calculation.[/color]
 

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