Final answer:
To determine the purchase price of the second computer that would make the annual rental payment for both computers equal, we need to calculate the annual rental payment for each computer and set them equal to each other. The purchase price of the second computer should be €3,200.
Step-by-step explanation:
To determine the purchase price of the second computer that would make the annual rental payment for both computers equal, we need to calculate the annual rental payment for each computer and set them equal to each other. The annual rental payment for the first computer can be calculated as (interest rate + maintenance rate + physical and technological depreciation rate) multiplied by the purchase price of the computer. Substituting the given values, we get:
Annual rental payment for first computer = (0.08 + 0.02 + 0.15) * €3,840 = €768
Similarly, for the second computer, the annual rental payment can be calculated as:
Annual rental payment for second computer = (0.08 + 0.02 + 0.2) * Purchase price of second computer
Since we want the annual rental payments for both computers to be equal, we can set the two equations equal to each other and solve for the purchase price of the second computer:
(0.08 + 0.02 + 0.15) * €3,840 = (0.08 + 0.02 + 0.2) * Purchase price of second computer
Simplifying, we get:
(0.25) * €3,840 = (0.3) * Purchase price of second computer
€960 = (0.3) * Purchase price of second computer
To solve for the purchase price of the second computer, we divide both sides by 0.3:
Purchase price of second computer = €960 / 0.3
Purchase price of second computer = €3,200