The best buy is from dealership B because dealership B has a lesser base price
The add-on options
For the purpose of this exercise, the add-on options to select are:
Dealership A
The total amount of the add-on options is:
Total = $500 + $1500
Total = $2000
The inequality
This is represented using:
Base price * (1 + Tax) + Fees + Add-on total ≤ 20000
So, we have:
(1 + 6.75%) * x + 751.56 + 2000 ≤ 20000
Solve for x
We have:
(1 + 6.75%) * x + 751.56 + 2000 ≤ 20000
Evaluate the like terms
(1 + 6.75%) * x ≤ 17248.44
Divide both sides by (1 + 6.75%)
x ≤ 16157.79
The solution means that the base price of the car cannot exceed $16157.78 for dealership A
The graph of the possible base price
See attachment
Dealership B
The total amount of the add-on options is:
Total = $750 + $1000
Total = $1750
The inequality
This is represented using:
Base price * (1 + Tax) + Fees + Add-on total ≤ 20000
So, we have:
(1 + 6.75%) * x + 1524.72 + 1750 ≤ 20000
Solve for x
We have:
(1 + 6.75%) * x + 1524.72 + 1750 ≤ 20000
Evaluate the like terms
(1 + 6.75%) * x ≤ 16725.28
Divide both sides by (1 + 6.75%)
x ≤ 15667.71
The solution means that the base price of the car cannot exceed $15667.71 for dealership B
The graph of the possible base price
See attachment
Where to buy from
Buy from dealership B because dealership B has a lesser base price
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