1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Fofino [41]
3 years ago
11

A manufacturing unit currently operates at 80 percent of its capacity. The profit function for the unit at the optimum output, x

, is given by p(x) = -0.1x^2 + 80x − 60. If the function f(x) models the current capacity of the unit, the composite function giving the unit's current profit function is a.f(p(x))=-0.064x^2+6.4x-60 b.p(f(x))=-0.64x^2+0.64x-60 c.p(f(x))=-0.064x^2+64x-60 d.p(f(x))=-0.64x^2+6.4x-60 e.f(p(x))=-0.064x^2+64x-60 If the optimum output is 500 units, the current profit is $ a.15,400 b.15,940 c.16,060 d.16,600
Mathematics
2 answers:
Bumek [7]3 years ago
7 0

Answer:

Option D

Step-by-step explanation:

Let the manufacturing unit operates with the maximum capacity = x

Since manufacturing unit currently operates at 80%

So function f(x) that models the current capacity of the unit will be

f(x) = (0.80)x

Given profit function for the unit at optimum output is

p(x) = ( -0.1) x² + 80x - 60

so composite function giving the unit's current profit function will be

p[f(x)] = (-0.1) (0.8x)² + 80(0.80x) - 60

         = -(0.1) (0.64x²) + 80 (0.08x) - 60

         = - 0.64x² + 6.4x - 60

Option D will be the answer.

Ad libitum [116K]3 years ago
3 0
B.
I hope I helped!!!!!!!!!
You might be interested in
Can I have help with this please?
mamaluj [8]

Answer:

x+1+2x-6= 16

3x-5 =16

3x=16+5

3x=21

x=21/3

x= 7

VW= 2x-6 = 2(7) -6 = 14-6 = 8

5 0
3 years ago
Lake Okeechobee’s water level was at sea level in April. In May, the lake’s level rose 4 inches and in June it rose 2 more inche
Mice21 [21]

Answer:

Just here for points XD.

Step-by-step explanation:

7 0
3 years ago
Which statement is true about this equation? 3(-y 7) = 3(y 5) 6.
Ahat [919]

The statement that is true about the equation 3(-y + 7) = 3(y + 5) + 6 is;

Statement A; The equation has one solution, y = 0

The given equation is;

3(-y + 7) = 3(y + 5) + 6

Expanding the brackets gives us;

-3y + 21 = 3y + 15 + 6

-3y + 21 = 3y + 21

Using subtraction property of equality, subtract 21 from both sides to give;

-3y = 3y

Using addition property of equality, add 3y to both sides to give;

-3y + 3y = 3y + 3y

6y = 0

Using division property of equality, divide both sides by 6 to get;

y = 0

Read more about factorization at; brainly.com/question/11000698

The missing statements are;

A. The equation has one solution, y = 0.

B. The equation has one solution, y = -1.

C. The equation has no solution.

D. The equation has infinitely many solutions.

8 0
2 years ago
Calculate the slope of the line that contains the points (-2, -4) and (2, 4).
liubo4ka [24]

Answer:

Slope is 2

Step-by-step explanation:

(-2, -4) and (2, 4)

Slope:

m=(y2-y1)/(x2-x1)

m=(4+4)/(2+2)

m=8/4

m = 2

6 0
3 years ago
Could -2 be used to rewrite 32
Ostrovityanka [42]

Answer:Look at this list of whole number powers of -2:

(-2)0 = 1

(-2)1 = -2

(-2)2 = 4

(-2)3 = -8

(-2)4 = 16

Step-by-step explanation:

7 0
4 years ago
Read 2 more answers
Other questions:
  • The product of a number and 1 is less than the number is 90. find the number.
    7·1 answer
  • What is the sum of 3/x-3 and x/3-x
    15·1 answer
  • You have been asked to build a scale model of your school out of toothpicks. Imagine your school is 30 feet tall. Your scale is
    6·1 answer
  • Find the Central arc measure
    9·1 answer
  • Write 0.45 as a fraction in simplest form.
    5·2 answers
  • I need help on this. Can someone explain it?
    8·2 answers
  • Deborah finds that the theoretical probability of flipping "heads" on a fair coin was 50%. After she flipped the fair coin 100 t
    9·1 answer
  • Which equation has the correct sign on the product? <br>​
    10·1 answer
  • Which statement is true?
    10·1 answer
  • How many combinations of powerball numbers are there
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!