Comp 116 Assignment 3: (Parts A, B)
Posted, May 25
th
Due Friday, June 1
st
PART A: LINEAR EQUATIONS in MATLAB
In this assignment we will solve systems of linear equations to answer questions about currency
exchange rates.
1. Calculating Exchange Rates
Your goal is to come up with exchange rate for each of 5 foreign currencies:
Euro, Canadian Dollar, British Pound, Australian Dollar, Swiss Franc
[10 points] Build a system of 5 equations with 5 unknowns to compute the value of one $US in each of
the foreign currencies given the following constraints:
100 Euro + 100 Swiss Francs = $200
200 British Pounds = 100 Euro + 300 Swiss Francs
200 Can. Dollars + 200 Aus. Dollars = $325
100 Euro + 300 Aus. Dollars + 300 Swiss Francs = $580
200 Euro + 300 Can. Dollar + 500 British Pounds + 700 Aus. Dollars = $1920
[5 points] Use MATLAB to solve the system of equations from the previous part.
[5 points] What is the value in $US of 100 Canadian Dollars + 200 British Dollars + 300 Australian
Dollars?
[5 points] What is the value of $100 US in each of the foreign currencies? Give your answer as a
number, and also as a bar chart. You can use the MATLAB command bar to produce this chart.
2. Conversion with a Surcharge
The bank offers two options for converting US $ into Euros.
A) Convert at the published rate (the answer to part 1) and then pay a 3 Euro fee.
B) Convert at 98% of the published rate without paying a fixed surcharge.
[5 points] Suppose that you have ten $50 bills that you take to the bank to be exchanged. To decide how
much to convert, and which conversion plan is better, create a plot. The plot will have $US on the x-axis
and Euro on the y-axis. Plot two graphs, one showing the conversion under the Plan A and second
showing the conversion under Plan B. The plot should include a legend and be formatted so that the two
graphs can be differentiated in print (i.e. black and white printout).
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Which plan is best if I want to convert all $500?
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What if I only want to convert $40?
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Explain why
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