On January 1, Professor Smith made a resolution to lose some weight and save some money. He decided that he would strictly budget $100 for lunches each month. For lunch, he has only two choices: the faculty club, where the price of a lunch is $5, and Alice's Restaurant, where the price of a lunch is $10. Every day that he does not eat lunch, he runs 5 miles. Last month, professor smith chose to eat at the club 10 times and Alice's 5 times. Does this choice fit with his budget constrain?

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