Instructions

Write a function max_of_three that consumes three numbers and produces the maximum of the three numbers. The numbers do not need to be distinct.

Note:

Hint:

  • You might wish to review how to determine the minimum of three numbers in Step 8.

Write a function total_bill that consumes the cost of merchandise, age in years, and tax rate and produces the total bill, such that:

  • there is a discount of 10% for ages of at least 65, applied before the tax is computed or the shipping charge added
  • there is a shipping charge of $5 for all purchases of less than $100 (where the value is the purchase is considered before the discount is applied, if any, and does not include tax)

The percentage tax rate is given as a number between 0 and 1.

Note:

Hints:

  • You can apply the discount by multiplying by .9.

Write a function integer_type that consumes a value of any type and produces "Even integer" if it is an even integer, "Odd integer" if it is an odd integer, and "Not an integer" otherwise.

Note:

Hints:

  • Make use of short-cut evaluation to avoid error messages.

Write a function off_peak that consumes any type of data and determines if the time is eligible for off peak rates. Your function should produce one of the following outputs: "Off peak", "Peak", and "Not a time". Off-peak rates are based on 24-hour time, for values less than 9 or greater than 17.

Note:

Hints:

  • Make use of short-cut evaluation to avoid error messages.

Write a function leap_year that consumes a positive integer and produces "Leap year" if it is a leap year and "Common year" otherwise. A year is a leap year if it is a multiple of 4, 100, and 400, or if it is multiple of 4 but not a multiple of 100.

You have been provided with is_multiple as a helper function.

Note:

Hint:

  • You might find it easier to figure out the possible cases by allowing more than one case for a particular output.

Write a function romanize that consumes a number in the range from 1 to 10 and produces the equivalent Roman numeral.

The following is a translation table:

1  I
2  II
3  III
4  IV
5  V
6  VI
7  VII
8  VIII
9  IX
10 X

Try to use fewer than nine conditions in your solution.

Note:

Hint:

  • To reduce the number of conditions, consider the similarities between 1 and 6, 2 and 7, and 3 and 8.
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