Answer:
Option B is correct
The maximum revenue that the company can make from the treadmill sales is, $81,000
Step-by-step explanation:
Let x represent the number of treadmill x sold and y represents the number of treadmill y sold
As per the statement: Three times the number of treadmill y sold must be less than or equal to twice the number of treadmill x sold.
⇒[tex]3y\leq 2x[/tex] ......[1]
Also, it is given that the company has at most 100 treadmills to sell.
⇒[tex]x+y\leq 100[/tex]
using a graph tool for equation [1] and [2] as shown in figure given below;
⇒ the solution is the shaded area
The maximum revenue that the company can make is for the point, (60, 40)
⇒ x = 60 treadmills
and y = 40 treadmills
Maximum Revenue = [tex]60 \times 750 + 40 \times 900 = 45000+36000 = \$81,000[/tex]
Therefore, the maximum revenue that the company can make from the treadmill sales is, $81,000