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

a. $48.75

is the answer to your question

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