A long-term resident moves out of apartment #35 on the last day of May because they are unhappy with their neighbor, and later a new resident takes possession on June 16. You begin to wonder what the total economic cost of the vacancy was. The rent on the apartment is $650. Painting labor cost you $250, and you had to purchase 3.5 gallons of paint at $12 per gallon. The cleaner cost $85, and the carpet cleaner charged you $75. You ran an ad in the Oregonian for $350 to get the apartment rented. In order to convince the resident to sign a lease, you had to give him a 1/2-month rent-free lease concession (assume a 30 day month).

rent is 650, new resident will move in June 16, however, in order to convince him to move in you had to give him 1/2-month rent free assumed a 30 day month.

I divide 650/30 and i get =21.666666667 x 16= 346.66666667, but I's not coming out right. Can you please help me. THANK YOU!!

To calculate the total economic cost of the vacancy, we need to consider all the expenses incurred during the period when the apartment was vacant.

1. Rent: The apartment was vacant from June 1st (when the long-term resident moved out) until June 16th (when the new resident moved in). This is a period of 15 days. So, the rent loss during this period is calculated as:
Rent loss = (Rent per day) x (Number of vacant days)
= ($650 / 30) x 15 (assuming a 30-day month)
= $325

2. Painting: The cost of painting the apartment includes labor and material expenses. Since you mentioned the cost of labor ($250) separately, we need to calculate the cost of materials:
Cost of paint = (Quantity of paint) x (Cost per gallon)
= 3.5 x $12
= $42

3. Cleaning: The cost of cleaning the apartment is $85.

4. Carpet cleaning: The cost of professional carpet cleaning is $75.

5. Advertisement: The cost of running an ad in the Oregonian newspaper is $350.

6. Lease concession: You provided a 1/2-month rent-free lease concession to convince the new resident to sign a lease. This is equal to 15 days ((1/2) x 30) since we assumed a 30-day month. So, the rent loss due to this concession is:
Lease concession loss = (Rent per day) x (Number of concession days)
= ($650 / 30) x 15
= $325

To calculate the total economic cost of the vacancy, we add up all these expenses:
Total cost = Rent loss + Cost of paint + Cleaning cost + Carpet cleaning cost + Advertisement cost + Lease concession loss

Substituting the values we calculated:
Total cost = $325 + $42 + $85 + $75 + $350 + $325
Total cost = $1202

Therefore, the total economic cost of the vacancy was $1202.