6. A discount car rental business rents out cars for K20 a day and has an arrangement with a leasing company to purchase used cars at K6 000 each. The cars receive only needed maintenance and as a result are worth only K2 000 at the end of the first year of operation after which they are all sold and new ones bought. Average number of cars rented per day 20 21 22 23 Probability .10 .20 .50 .20 It costs the car rental business K1.50 per car rental for minimal maintenance and cleaning. i. How many cars should he purchase every year to maximise profits? What is the expected value of perfect information? ii.

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6. A discount car rental business rents out cars for K20 a day and has an
arrangement with a leasing company to purchase used cars at K6 000 each. The
cars receive only needed maintenance and as a result are worth only K2 000 at the
end of the first year of operation after which they are all sold and new ones bought.
Average number of cars rented per day
20
21
22
23
Probability .10
.20
.50
.20
It costs the car rental business K1.50 per car rental for minimal
maintenance and cleaning.
i.
How many cars should he purchase every year to
maximise profits?
What is the expected value of perfect information?
ii.
Transcribed Image Text:6. A discount car rental business rents out cars for K20 a day and has an arrangement with a leasing company to purchase used cars at K6 000 each. The cars receive only needed maintenance and as a result are worth only K2 000 at the end of the first year of operation after which they are all sold and new ones bought. Average number of cars rented per day 20 21 22 23 Probability .10 .20 .50 .20 It costs the car rental business K1.50 per car rental for minimal maintenance and cleaning. i. How many cars should he purchase every year to maximise profits? What is the expected value of perfect information? ii.
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