On january 1, professor smith made a resolution to lose some weight and save some money. he decided that he wouldstrictly budget $100 for lunches each month. for lunch, he has only two choices: the faculty club, where the price of alunch is $5, and alice’s restaurant, where the price of a lunch is 510. every day that he does not eat lunch, he runs 5 miles.3. assuming that professor smith spends the $100 each month at either alice’s or the club, sketch his budget constraintshow actual numbers on the axes. b. last month professor smith chose to eat at the club 10 times and at alice's 5 times. does this choice fit within his budgetconstraint? explain your answer. c. last month alice ran a half-price lunch special all monthall lunches were reduced to $5. show the effect on professor smith's budget constraint