SODA_COST = 0.5
HOTDOG_COST = 0.75

def hotdogs(tim, amy):
    """
    Returns the number of hotdogs required for the party.
    
    Parameters:
    tim -- the number of hotdogs tim will eat
    amy -- the number of hotdogs amy will eat
    """     
    todd = 2 * amy
    brenda = todd - 1
    mark = (brenda+1)/2 + 1 # add 1 to brenda to round up

    total_hotdogs = tim + amy + todd + brenda + mark
    return total_hotdogs

def soda(num_people):
    """ Returns the number of sodas required for num_people """
    return 2 * num_people

def bbq_cost(tim, amy, num_people):
    """ Calculates the total cost of the BBQ """
    num_hotdogs = hotdogs(tim, amy)
    num_sodas = soda(num_people)
    return num_sodas * SODA_COST + num_hotdogs * HOTDOG_COST

def bbq_plan(tim, amy, num_people):
    """ Prints out the plan for the BBQ """
    print "We need to buy " + str(hotdogs(tim, amy)) + " hotdogs"
    print " and " + str(soda(num_people)) + " sodas for a total"
    print " cost of $" + str(bbq_cost(tim, amy, num_people))