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Given that for each <span>$2 increase in price, the demand is less and 4 fewer cars are rented.
Let x be the number of $2 increases in price, then the revenue from renting cars is given by
.
Also, given that f</span><span>or each car that is rented, there are routine maintenance costs of $5 per day, then the total cost of renting cars is given by
Profit is given by revenue - cost.
Thus, the profit from renting cars is given by
</span><span>
For maximum profit, the differentiation of the profit function equals zero.
i.e.
</span><span>
The price of renting a car is given by 48 + 2x = 48 + 2(8) = 48 + 16 = 64.
Therefore, the </span><span>rental charge will maximize profit is $64.</span>
Let x be the number of $2 increases in price, then the revenue from renting cars is given by
Also, given that f</span><span>or each car that is rented, there are routine maintenance costs of $5 per day, then the total cost of renting cars is given by
Profit is given by revenue - cost.
Thus, the profit from renting cars is given by
</span><span>
For maximum profit, the differentiation of the profit function equals zero.
i.e.
</span><span>
The price of renting a car is given by 48 + 2x = 48 + 2(8) = 48 + 16 = 64.
Therefore, the </span><span>rental charge will maximize profit is $64.</span>
The maturity value of a loan of $2500 at the simple interest rate of 4.3% that is needed to be repaid in 8 months is $2607.50.
<h3>What is simple interest?</h3>Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,
where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.
As it is given the principal amount of the loan is $2500, while the interest rate is 4.3%, therefore, after a period the interest on the loan will be,
Thus, the interest amount on the loan of $2500, is $107.5.
Now, in order to find the value of the loan we need to add the interest and the principal amount of the loan together. Therefore, the value of the loan can be written as,
The value of the loan = Principal Amount + Interest rate
= $2500 + $107.5
= $2607.50
Hence, the maturity value of a loan of $2500 at the simple interest rate of 4.3% that is needed to be repaid in 8 months is $2607.50.
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