Let's use that information to answer the following question:
Suppose a consumer has $8 to spend for lunch, utility described by tables A1 and A2, and wants to maximize the utility of lunch. How many burgers and how many cokes would he buy?
We can think it through this way: The first dollar will bring 65 units of utility if it is spent on a coke, only fifty if it is spent on a (half of) a burger, so the consumer will buy at least one coke.
The second coke will yield only 10 units of utility, though, whereas $2 spent on burgers will yield 50 units per dollar for the first burger and 25 per dollar for the second burger. So at least 2 burgers will be bought.
That leaves $3. These will yield 10 units of utility per dollar on either good, so the consumer will purchase a third burger and a second coke for the last three dollars. The total utility of 245 units cannot be improved upon.
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