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

• A pseudo code algorithm

• A desk check of the algorithm. An architect's fee is calculated as a percentage of the cost of a building. The fee is made up as follows:

8% of the first $5000.00 of the cost of a building and 3% on the remainder if the remainder is less than or equal to $80 000.00 or 2.5% on the remainder if the remainder is more than $80 000.00.

Design an algorithm that will accept the cost of a building and calculate and display the architect's fee.