A program is required to calculate the cost of a plumber's visit. If it is a non$-$urgent job, a

plumber charges a $100$ call out fee that also covers the first hour $(60$ minutes$)$ of work. Each

whole hour, or part of an hour, after that is charged at $50.$ However, if it is an urgent job, the

call out fee $($that covers the first hour$)$ is $200$ and each hour or part of an hour after that is

charged at $80.$

So$,$ for example, if the plumber takes $183$ minutes to complete an urgent job, the first $60$

minutes costs $200.$ The remaining $123$ minutes cost $240$ as there are $2$ complete hours

and then part of an hour, which are each charged at $80,$ making a total bill of $440.$ For the

same number of minutes for a non$-$urgent job, the total bill is $100$ for the call out and $150$

for the hours and part hour, so the total bill is $250.$

You are given part of the test data $($Table $3)$ and an error$-$filled program $($this can be

downloaded from the assessment page$).$

Table $3$

# Problen: Calculate plunber's bill.

# Input: ninutes worked

# Input: True if urgent, False othervise

# Output: cost

minutes $=61$

urgent $=$ False

cost $=8$

hours $=1$

if minutes $>60$ :

hours $=$ nimutes $\frac{\frac{?}{?}}{68}$

if ninutes $60=0$ :

hours $=$ ninutes $\frac{\frac{?}{?}}{60}-1$

if urgent

cost $=290+$ hours $*98$

if not urgent:

cost $=190+$ hours $*58$

print$($cost$)$

a$.$

i$.$Describe the inputs of this program, including their admissible values.

ii$.$Give an explanation for the choice of input values shown in the test table.

iii.Describe how you would extend the testing strategy to ensure that the program works for shorter jobs.

$(6$ marks$)$

b$.$

i$.$What are the syntax errors in this program? Consider no other errors at this point.

ii$.$Correct the syntax errors. Now test your program for a non$-$urgent job of $59$ minutes. Explain why the code fails.

$(4$ marks$)$

c$.$

i$.$Explain, in ordinary English, what the purpose of the first if statement is and how this is achieved in the Python code.

ii$.$This program is currently based on Pattern $4\mathrm{.}3.$ Explain why Pattern $4\mathrm{.}2$ would be better at expressing the last two multiple cases.

iii.Using Pattern $4\mathrm{.}2,$ write an algorithm for this scenario. Your algorithm must initialise minutes and urgent to admissible values.

$(9$ marks$)$

d$.$This part of the question involves writing Python code. Produce code corresponding to your algorithm. Include comments. Use the test table to check your code works. You do not need to submit test outputs.

Name your Python file Q$4\_$OUCU.py$,$ where $$OUCU$$ is your OU computer username, e$.$g$.$ abc$123.$ Then include the code file in your TMA zip file.

Paste your completed Python code into your solution document as text, using an evenly spaced font such as Courier New or Consolas.

$(4$ marks$)$