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
aliina [53]
3 years ago
7

Each machine at a certain factory can produce 90 units per hour. The setup cost is 20 dollars for each machine and the operating

cost is 26 dollars per hour (total, not 26 dollars per machine per hour). You would like to know how many machines should be used to produce 40000 units, with the goal of minimizing production costs.
First, find a formula for the total cost in terms of the number of machines, n:_______
TC = ______
machines for a total cost of The minimum total cost is achieved when using dollars.
Mathematics
1 answer:
sasho [114]3 years ago
3 0

Answer:

a)  Total Cost=20n+\frac{(\frac{40000}{90}*26)}{n}

b)  n=24

Step-by-step explanation:

From the question we are told that:

Rate r=90 units per hour

Setup cost =20

Operating Cost =26

Units=40000

Generally the equation for Total cost is mathematically given by

Total Cost=20n+\frac{(\frac{40000}{90}*26)}{n}

T_n=20n+\frac{11556}{n}\\\\T_n=\frac{20n^2+11556}{n}.....equ 1

Differentiating

T_n'=\frac{n(40n)-(40n^2+11556)}{n_2}\\\\T_n'=\frac{20n^2-11556}{n^2}.....equ 2

Equating equ 1 to zero

0=\frac{20n^2+11556}{n}

n=24

Therefore

Substituting n

For Equ 1

T_n=\frac{20(24)^2+11556}{24}

F(n)>0  

For Equ 2

T_n'=\frac{20(24)^2-11556}{24^2}

F(n)'<0

You might be interested in
you are being deal one card from a standard 52 card deck. what is the probability that you will be dealt a card other than an ac
8090 [49]
I love you please notice me
8 0
3 years ago
Read 2 more answers
If an interior angle of a regular polygon measures 108°, how many sides does the polygon have?
PilotLPTM [1.2K]

Answer:

5

Step-by-step explanation:

<u>(n-2)180 = 108</u>

          n

Distribute

180n-360=108n

-360=-72n

5=n

n=5

5 0
3 years ago
Read 2 more answers
Beth is paid $225 per week plus a commission of $20 per sale. This week she wants to earn at least $650. If s represents the min
Dafna11 [192]

Answer:

b

Step-by-step explanation:

the answer is b because she gets paid 225 per week plus every sale so it going to be 245 she still needs 405 to get 650

Hope this helps

4 0
3 years ago
Read 2 more answers
Two parallel lines are intersected by another line, as shown below.
vredina [299]

Answer:

the measurement of <1 is 61°

3 0
3 years ago
Read 2 more answers
Please help :)! the pic gives you everything you need!
velikii [3]

Answer:

use Socratic

Step-by-step explanation:

it's a app

8 0
3 years ago
Other questions:
  • (fx) = <br><img src="https://tex.z-dn.net/?f=%28fx%29%20%3D%20%20%5Csqrt%5B3%5D%7B%20-%203x%20%2B%203%7D%20find%20f%28%20-%2013.
    13·1 answer
  • What is one one hundredth of 305?
    11·1 answer
  • Find the mean of the following data:<br> 10, 16, 15, 14, 8, 21, 10, 5, 19, 18, 4, 5, 16, 12, 10, 9
    5·2 answers
  • What's the meaning of range?
    8·2 answers
  • Bre’anna has $1,125 in her checking account, owes $800 on her credit card, and has a car worth $3,500 that is paid off. What are
    14·1 answer
  • 20 PTS
    8·1 answer
  • Larry mows lawns for $50 an hour. Last week, he gave all his customers a 20% discount off his hourly rate. Mrs. Grinnell hired L
    14·2 answers
  • Given cosΘ=2/3 and sinΘ&gt;0, find sinΘ
    6·1 answer
  • 10 ( 4 + 6b ) - 28b + 23? PLSSS HELPPP MEEE
    8·1 answer
  • What is the m I’m not sure on what this means?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!