Answer:
The choice perfectly fits within Professor Smith's Budget constraint
Explanation:
Budget constraint is a limitation to a given number units of a product one can consume due to his/her income.
In our case;
Budget for lunch per month≤$100
Let's express the total amount Professor Smith spent on lunch in a month as follows;
Total monthly lunch expenditure=(price of lunch at faculty×number of times lunch is taken at faculty)+(price of lunch at Alice's×number of times lunch is taken at Alice's)
where;
Price of lunch at faculty=$5
number of times lunch is taken at faculty=10
price of lunch at Alice's=$10
number of times lunch is taken at Alice's=5
Total monthly lunch expenditure=$100
replacing;
100≥(5×10)+(10×5)=$100
The budget ($100)=Monthly lunch expenditure ($100)
The choice perfectly fits within Professor Smith's Budget constraint
