Answer:
Lowest price= $4.10Step-by-step explanation:
Given
P = 100-0.05x ....(1)
R = xp
putting R = 7860
7860 = x(100 - 0.05x)
7860 = 100x - 0.05x²
0.05x²-100x +7860 = 0
Only solving quadratic equation,
x = 1918.04
x = 81.9586
Putting the values of x in equation 1,
At x = 1918.04
p = 100-0.05×1918.04
p = 100-95.902
p = 4.098
p = $4.10 ( by rounding off)
At x = 81.9586
p = 100-0.05×81.9586
p = 95.90
Lowest price= $4.10
Highest price= $95.90