Hi, I have a test in CS in Drracket and I have a sample test but unanswered, can someone help me please?

Hi, I have a test in CS in Drracket and I have a sample test but unanswered, can someone help me please?

the test:

1. (Lists of structs: 30 points) Here are a set of data definitions that could have been used in Homework 4, where you wrote programs for a list of borrowers for a microlending institution:;; Borrower is a (make-borrower String String String Number Number) (define-struct borrower (name country business amount raised))

;; interp: amount is the amount of the requested loan, in dollars

;; raised is the percentage of the loan that has been raised so far

;; (i.e. it is a number between 0 - 100 inclusive)

;; a ListOfBorrower is one of ;

; empty

;; (cons Borrower ListOfBorrower)

Write a function to satisfy the following signature and purpose. You must develop a helper function and use the helper in your solution. Provide a signature and purpose for your helper. (You may continue your answer on the next page if you need more space.);; small-loans: ListOfBorrower String -> ListOfBorrower ;; consumes a list of borrowers and the type of business and produces ;; a list of the borrowers in the given business who have loan requests of ;; less than $1000

2. (Trees: 25 points) Here are a set of data definitions:;; Item is a (make-item String Number) (define-struct item (name price))

;; interp: represents an item for sale in a store, where

;; name is the name of the item

;; price is the price of the item in dollars

;; ListOfItem is one of

;; empty

;; (cons Item ListOfItem);; TreeList is one of

;; ’unknown

;; (make-listnode ListOfItem TreeList TreeList) (define-struct listnode (list left right))

(a) (5 points) Provide the template for functions that operate on Item. (You don’t have to write the signature/purpose.)

(b) (5 points) Provide the template for functions that operate on ListOfItem. (You don’t have to write the signature/purpose.)

(c) (15 points) Provide the template for functions that operate on TreeList. (You don’t have to write the signature/purpose.)

3. Hierarchies (25 points) The following data definitions are used to represent the organizational structure at a manufacturing company:;; Employee is a (make-employee String String ListOfEmployee) (define-struct employee (name position subordinates))

;; interp: represents an employee with

;; a name,

;; position (such as CEO or engineer)

;; a list of all direct subordinates

;; ListOfEmployee is one of

;; empty

;; (cons Employee ListOfEmployee)

Write a function (or functions) to satisfy the following signature/purpose:;; has-no-subordinates: Employee -> ListOfString

;; produces a list of the names of every employee in the hierarchy

;; who has no one reporting to them(You may continue your answer on the next page if you need more space.)4. (20 points) A binary search tree (BST) of numbers can be defined as:;; BST is one of ;; ’unknown ;; (make-node Number BST BST) (define-struct node (key smaller larger)) ;; interp: a binary search tree where for each node n in the tree, ;; the key values in n’s left subtree are smaller than the key for n, ;; the key values in n’s right subtree are greater than the key for n(a) (5 points) Here’s a picture of an incomplete binary search tree:12965 306???What range of key values would be allowed for the node containing the ???’s?Here’s function that operates on a BST:;; in-tree?: BST Number -> Boolean

;; returns true if the given number is in the binary search tree (define (in-tree? abst num) (cond [(symbol? abst) false] [(node? abst) (or (= (node-key abst) num) (in-tree? (node-smaller abst) num) (in-tree? (node-larger abst) num))]))

(b) (5 points) Does the function as written satisfy the signature/purpose? (Answer yes or no)

(c) (10 points) The function as written does not exploit the binary search tree property. Write a function that both • satisfies the given signature/purpose, and • solves the problem in such a way that the binary search tree property is used to more efficiently execute the function