Someone ! a company is selling two types of treadmills. treadmill x sells for $750 and treadmill y sells for $900. three times the number of treadmill y sold must be less than or equal to twice the number of treadmill x sold. the company has at most 100 treadmills to sell. what is the maximum revenue that the company can make from the treadmill sales? $75,000 $81,000 $84,000 $90,000

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.

⇒                    ......[1]

Also, it is given that the company has at most 100 treadmills to sell.

⇒

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 =

Therefore, the maximum revenue that the company can make from the treadmill sales is, $81,000

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.