PLEASE HELP!!!!!!!!!!!!!

These are the cost and revenue functions for a line of trumpets sold at a music store:

Maslowich

Answer:

168 trumpets for $1702

Step-by-step explanation:

Profit is the measure to be maximized. We are given revenue and cost relationships as a function of units, x (trumpets). Profit is the difference:

Profit = Revenue[R(x)] - Cost[C(x)]

Profit = (76x – 0.25x^2) - (-7.75x + 5,312.5)

Profit = 76x - 0.25x^2 + 7.75x - 5,312.5

Profit = - 0.25x^2 + 83.75x - 5312.5

At this point we can find the trumpets needed for maximum profit by either of two approaches: algebraic and graphing. I'll do both.

Mathematically

The first derivative will give us the slope of this function for any value of x. The maximum will have a slope of zero (the curve changes direction at that point). Take the first derivative and set that equal to 0 and solve for x.

First derivative:

d(Profit)/dx = - 2(0.25x) + 83.75

d(Profit)/dx = - 0.50x + 83.75

0 = - 0.50x + 83.75

0.50x = 83.75

x = 167.5 trumpets

Graphically

Plot the profit function and look for the maximum. The graph is attached. The maximum is 167.5 trumpets.

Round up or down to get a whole trumpet. I'll go up: 168 trumpets.

Maximum Profit

Solve the profit equation for 168 trumpets:

Profit = - 0.25x^2 + 83.75x - 5312.5

Profit = - 0.25(168)^2 + 83.75(168) - 5312.5

Profit = $1702

4 0

3 years ago

What is the area of this figure?

Igoryamba

Answer:

70

Step-by-step explanation:

We know that to find the area of a triangle, you need is formula:

(base*height)/2

The height is 10 m and the base is 14 m, so the area is:

(10 m*14 m)/2

=140 m/2

=70 m

The area of the triangle is 70 m.

5 0

3 years ago

I need help i will mark brainliest

Kipish [7]

Answer:

Both triangles are scalene & Both triangles have an obtuse angle.

Step-by-step explanation:

Key skills needed: Triangle recognition, Comparing Triangles

1) We are given those 2 triangles, and we need to see if they are isosceles, scalene, obtuse, and acute.

2) To get this, let's define each thing:

Acute triangle - Means that all the angles in triangle are acute, which means they are less than 90 degrees in measure.

Obtuse triangle - Means that one angle in the triangle is obtuse, which means it is greater than 90 degrees in measure.

Scalene triangle - All the sides of the triangle are different in size/length

Isosceles triangle - 2 sides of the triangle are the same length

3) Now, we can use this to see what both triangles are:

--> Both triangles are not isosceles, they are both scalene. This is because all the sides of each triangle are different in size/length. This makes it scalene.

--> Both triangles are not acute triangles, they are both obtuse triangles. This is since the largest angle in each triangle is clear an obtuse angle (it looks like it is more than 90 degrees). Refer to the image I post as help.

With the observations above: We can say that both triangles are scalene, and both triangles are obtuse triangles.

Hope you understood and have a nice day!! :D