Assume (a,b) has a minimum element m.
m is in the interval so a < m < b.
a < m
Adding a to both sides,
2a < a + m
Adding m to both sides of the first inequality,
a + m < 2m
So
2a < a+m < 2m
a < (a+m)/2 < m < b
Since the average (a+m)/2 is in the range (a,b) and less than m, that contradicts our assumption that m is the minimum. So we conclude there is no minimum since given any purported minimum we can always compute something smaller in the range.
Answer:
$18,007,50
Step-by-step explanation:
First, you have to calculate the 85% of the base price that the dealer pays for the car:
base price: $18,750
$18,750*85%= $15,937.5
Second, you have to calculate the 75% of the installed options price that the dealer pays:
installed options price= $2,380
$2380*75%= $1,785
Third, you have to add the 85% of the base price plus the 75% of the installed options that the dealer has to pay and you also have to add the destination charge of $285:
$15,937.5+$1,785+$285= $18,007.5
According to this, the dealer has to pay $18,007.5 for the car with a base price of $18,750 and installed options price $2380 including a destination charge of $285.
Answer:

Step-by-step explanation:
