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Decisions

Decisions. Action based on condition. Examples. Simple condition: If total sales exceeds $300 then applies 5% discount; otherwise, no discount. More than one condition: Taxable Income < =3000 no tax 3000 < taxable income <= 10000 5% tax 10000 < taxable income <= 50000 10% tax

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Decisions

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  1. Decisions Action based on condition

  2. Examples • Simple condition: • If total sales exceeds $300 then applies 5% discount; otherwise, no discount. • More than one condition: • Taxable Income < =3000 no tax • 3000 < taxable income <= 10000 5% tax • 10000 < taxable income <= 50000 10% tax • Taxable income > 50000 15% tax • Complex condition: • If an applicant’s GPA > 3.0 and SAT > 1200: admitted

  3. Comparison • Less than: < • Less than or equal: <= • Greater than: > • Greater than or equal: >= • Equal: = • Not equal: <> • At least: >= • At most: <= • No more than: <= • No less than: >= • A comparison returns True/False. • Example:

  4. IF Function • =IF(condition, ValueIfTrue,ValueIfFalse) • Example: • Tuition: If total units <= 12, then tuition = 1200 • Otherwise, tuition = 1200 + 200 per additional unit

  5. Example: Compute weekly wage. Overtime hours are paid 50% more than the regular pay.

  6. Example: Tax rate is based on married status: • Single: 15% • Married: 10%

  7. Example: A restaurant charges service fee based on this rule: 15% of the check amount with a minimum of $2.

  8. Practices • 1. How to determine an integer entered in a cell is an even number or an odd number? • 2. The average of two exams is calculated by this rule: 60% * higher score + 40% * lower score. • 3. An Internet service provider offers a service plan that charges customer based on this rule: • The first 20 hours: $10 • Each additional hour: $1.5 • 4. Automate the calculation of AmountOfDepDuringYr of the double declining depreciation table of assignment 2 for any value of life.

  9. Calculating Conditional Counts and Sums • COUNTIF(range, criteria) • Range of cells • Criteria: expression that define which cells are to be counted. • SUMIF(range, criteria,[sum_range]) • Sum_range: The cells you want to sum. If omit, Excel will sum the values in the range argument.

  10. Example • How many employees earn more than 5000? • COUNTIF(B2:b4,”>5000”) 2. Compute the total salary of employees earning more than 5000. SUMIF(B2:b4,”>5000”) 3. How many employees’ name begin with “P”? COUNTIF(A2:A4,”P*”)

  11. Complex Condition • Examples: • A theater charges admission fee based on customer’s age: • 12 <= Age <= 65: Fee = $5 • Otherwise: Fee = $3 • X University admission rules: • If GPA > 3.5 or SAT > 1500: Admitted • Y University admission rules: • If GPA > 3.0 and SAT > 1200: Admitted

  12. Logical Operators: AND, OR, NOT • AND • Cond1 Cond2 Cond1 AND Cond2 T T T F F T F F • OR • Cond1 Cond2 Cond1 OR Cond2 T T T F F T F F • NOT • Cond NOT Cond T F

  13. Examples • Write a complex condition for: 12 <= Age <= 65 • Use a complex condition to describe age not between 12 and 65. • X <= 15 is equivalent to: X<15 AND X =15? (T/F) • This complex condition is always false: • X < 5 AND X > 10 • This complex condition is always true: • X >= 5 OR X <= 10

  14. AND Function/OR Function • =AND (cond1, cond2, …, cond n) • Up to 30 conditions • True if all conditions are true • False if any condition is false • =OR (cond1, cond2, …, cond n) • True if any condition is true • False if all conditions are false

  15. The rules to compute employee bonus are: • If JobCode = 1 and Salary < 50000, then bonus = 30% * salary • Otherwise, bonus = 20% * salary Note: Change the rules to OR

  16. Nested IF and Complex Condition

  17. Nested IF • Example: • Rules to determine bonus: • JobCode = 1, Bonus=500 • JobCode = 2, Bonus = 700 • JobCode = 3, Bonus = 1000 • In C2: If(B2=1, 500, If(B2=2, 700, 1000))

  18. 1 JobCode= 1 Or <> =1 2 JobCode=2 Or <> 2 3

  19. Example • Electric Company charges customers based on KiloWatt-Hour used. The rules are: • First 100 KH, 20 cents per KH • Each of the next 200 KH • (up to 300 KH), 15 cents per KH • All KH over 300, 10 cents per KH

  20. What if we have more than 3 conditions • Example: Bonus • JobCode = 1, Bonus = 500 • JobCode = 2, Bonus = 600 • JobCode = 3, Bonus = 700 • JobCode = 4, Bonus = 800 • JobCode = 5, Bonus = 1000 • … • Other functions: • Table lookup

  21. Example • State University calculates students tuition based on the following rules: • State residents: • Total units taken <=12, tuition = 1200 • Total units taken > 12, tuition = 1200 + 200 per additional unit. • Non residents: • Total units taken <= 9, tuition = 3000 • Total units taken > 9, tuition = 3000 + 500 per additional unit.

  22. Units <= 12 or Not Resident or Not Units <= 9 or Not

  23. Complex Condition • University admission rules: Applicants will be admitted if meet one of the following rules: • 1. Income >= 100,000 • 2. GPA > 2.5 AND SAT > 900 • An applicant’s Income is 150,000, GPA is 2.9 and SAT is 800. Admitted? • Income >= 100,000 OR GPA > 2.5 AND SAT >900 • How to evaluate this complex condition?

  24. Scholarship: Business students with GPA at least 3.2 and major in Accounting or CIS qualified to apply: • 1. GPA >= 3.2 • 2. Major in Accounting OR CIS • Is a CIS student with GPA = 2.0 qualified? • GPA >= 3.2 AND Major = “Acct” OR Major = “CIS” • Is this complex condition correct?

  25. NOT Set 1: Young: Age < 30 Set 2: Rich: Income >= 100,000 Young Rich

  26. Condition with Not • University admission rules: Applicants will be admitted if meet all the rules: • 1. SAT > 900 OR Income >= 50,000 • 2. Not GPA < 2.5 • Condition: • SAT > 900 OR Income >= 50,000 AND Not GPA < 2.5 • Correct?

  27. Order of Evaluation • 1. () • 2. Not • 3. AND • 4. OR

  28. Examples • SAT = 800, Income 60,000, GPA 3.0, admitted? • (SAT > 900 OR Income >= 50,000) AND Not GPA < 2.5 • A=2, B=3 • (A=3 OR NOT (B < A)) AND B=A+1

  29. Rules to calculate employee bonus are: • If JobCode = 1 AND Salary < 5000 OR Sex = “F” Bonus = 10% * Salary • Otherwise: Bonus = 8% * Salary

  30. Practices • 1. Change the rules for bonus to: • If Sex = “F” AND (JobCode = 1 OR JobCode = 2) then bonus = 10% * Salary • Otherwise, bonus = 8% * Salary • 2. Change the rules to: • If JobCode = 1 AND Salary < 5000 OR Sex = “F” Bonus = 10% * Salary • Otherwise: Bonus = 8% * Salary • Use a complex condition to describe numbers: 20 50 100

  31. Set 1: Young: Age < 30 Set 2: Rich: Income >= 100,000 Set 3: Smart: GPA > 3.5 Smart Young Rich

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