Suppose two hot dog stands, Al’s & Bob’s, position themselves at different ends of a
1000 yard stretch of beach. Assume there are 100 beach goers evenly distributed along
the stretch of beach and travel costs are $.01 per yard. If Al charges $1 for his hot dogs
and Bob charges $2 for his hot dogs, what is the cost of purchasing a hot dog from each
stand for a hungry beachgoer situated at a position D yards from Al’s end of the beach?
How many consumers will go to Al’s and how many will go to Bob’s?
Suppose a firm’s plant produces Q units in any given year. The plant itself operates with
annualized costs of $10M and other annual fixed expenses totaling $3M. In addition,
the firm’s variable costs depend on Q and are given by the formula 5Q2+3Q. What is the
formula for the firm’s Short-Run (i.e. one year) Average Costs?
Given an employee cost of effort function (where e is given in hours worked per week
and each unit of e produces an extra $100 in sales):
c(e) = 0 if e<=40
(1/3)*(e-40)2 if e>40
If the firm offers a salary-plus-commission job of $500 per week plus 20% of sales,
how can we write the employee’s payoff function? What is the employee’s total
compensation for working a 46 hour workweek (Note: This is the compensation and not
payoff net of effort costs)?