Claudia has sold her car and received approval from the garage owner to re-lease her downtown reserved parking spot for the next four months so she can make some extra money. The rental fee is $200 per month, and she expects to charge $18 per day. Transportation in a car pool will cost her $6 per day. If there are a maximum of 20 work days per month for re-leasing the spot, determine the following: a. Total cost and revenue relations b. Breakeven quantity per month c. Amount of money she will make (or lose) if the number of re-leased days per month over the four-month period are 18, 12, 17, and 20.
(a)
Total cost=rental fee+ transportation fee.
In a month:
"=200+(6\\times20)=320."
In 4 months:
"=320\\times4"
=$1280
Total revenue in a month: "=18\\times20=360."
In 4 months:
"360\\times4=1440"
=$1440.
(b)
Break even quantity per month:
"=\\frac{Fixed Cost}{P-VC}"
"=\\frac{200}{(18\\times20)-(6\\times20)}"
"=0.8"
(c)
Profit for 18 days:
Total cost ="200+(6\\times18)=308."
Total revenue"=18\\times18=324"
Profit "=324-308=16"
For 12 days:
Total cost"=200+(6\\times12)=272"
Total revenue"=18\\times12=216"
Here, a loss of $56 is made.
For 17 days:
Total cost "=200+(6\\times17)=302"
Total revenue"=18\\times17=306."
Profit "=306-302=4"
For 20 days:
Total cost "=200+(6\\times20)=320."
Total revenue"=18\\times20=360."
Profit "=360-320=40"
=$40.
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