Construct a solution algorithm for the following problems. Your solution should contain:

$$ A defining problem

$$ A pseudo code algorithm

$$ A desk check of the algorithm

$$ Three test cases for each question. Two valid and one error test case

Question $1$

The Next$-$Day Delivery Service Provider provides the parcel delivery service within Singapore. The delivery charge is calculated based parcel weight shown below in the table,

Weight

Charge

Less than $3$ kg

$$8\mathrm{.}00$

$3-5$ kg

$$12\mathrm{.}00$

For each additional $1$ kg $($Max of $25$ kg$)$

$$1\mathrm{.}50$

Design an algorithm that will prompt for, receive the parcel weight, calculate the delivery charge and print the value. The program is to repeat the processing until a sentinel weight of $0$ is entered.