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
Ad libitum [116K]
3 years ago
8

Imagine you have some workers and some handheld computers that you can use to take inventory at a warehouse. There are diminishi

ng returns to taking inventory. If one worker uses one computer, he can inventory 150 items per hour. Two workers sharing a computer can together inventory 200 items per hour. Three workers sharing a computer can together inventory 220 items per hour. And four or more workers sharing a computer can together inventory fewer than 235 items per hour. Computers cost $125 each and you must pay each worker $30 per hour.
a. If you assign one worker per computer, what is the cost of inventorying a single item?

b. What if you assign two workers per computer? What is the cost of inventorying a single item?

c. What if you assign three workers per computer?

d. How many workers per computer should you assign if you wish to minimize the cost of inventorying a single item?
Mathematics
1 answer:
Svet_ta [14]3 years ago
4 0

Answer:

a. $1.03

b. $0.93

c. 0.98

d. 2 workers

Step-by-step explanation:

a. Given that:

  • 1 computer : 1 worker : inventory 150 items per hour
  • 1 computer : 2 workers : inventory 200 items per hour
  • 1 computer : 3 workers : inventory 220 items per hour
  • 1 computer : 4+ workers : fewer than 235 items per hour
  • Cost: $100 per computer ; $25 per worker

The fixed production factor in the warehouse is the computer used:

-One computer used, but the number of users is varied to inventory a specified number of items.

-The variable production factor is the number of workers assigned per one computer.

#The cost of inventorying a single item by one worker is:

Cost=\frac{C_{pc}+Wage}{Items} \ , C_{pc}=\$125\\\\Cost_1=\frac{125+30}{150}\\\\\\=1.03

Hence, the cost of inventorying a single item is $1.03

b. Using the information provided above, the cost of inventorying a single item when two workers are assigned is :

Cost=\frac{C_{pc}+Wage}{Items} \ , C_{pc}=\$125\\\\Cost_2=\frac{125+2\times30}{200}\\\\\\=0.925

Hence, the cost of inventorying a single item is $0.93

c.Using the information provided above, the cost of inventorying a single item when three workers are assigned is :

Cost=\frac{C_{pc}+Wage}{Items} \ , C_{pc}=\$125\\\\Cost_3=\frac{125+3\times30}{220}\\\\\\=0.98

Hence, the cost of inventorying a single item is $0.98

d. To determine the most cost-effective job assignment, we calculate the cost of 4+ workers.

Take any number less than 235(say 234) as the inventory units:

Cost=\frac{C_{pc}+Wage}{Items} \ , C_{pc}=\$125\\\\Cost_4=\frac{125+4\times30}{234}\\\\\\=1.05

From our calculations, it's clear that two workers per computer costs the least amount($0.93) per unit item. Hence, it is best to assign two workers per computer.

You might be interested in
What is the output of the function f(p) = 3p – 2 when the input is 2? A. 0 B. 2 C. 4 D. 6 E. 8
bazaltina [42]

Step-by-step explanation:

<u>Step 1:  Find f(2)</u>

f(p) = 3p - 2

f(2) = 3(2) - 2

f(2) = 6 - 2

f(2) = 4

Answer:  Option C, 4

8 0
3 years ago
Read 2 more answers
HELP ME BEFORE I DIE!
KonstantinChe [14]

Answer:

0.6 or \frac{3}{5}

Step-by-step explanation:

Using the Pythagorean theorem (a^{2} +b^{2} =c^{2}) we get that the hypotenuse is 5.

so the cos V is adjacent over the hypotenuse. so if adjacent is 3 and hypotenuse is 5, the answer is \frac{3}{5} which equals 0.6 in decimal form.

3 0
3 years ago
If a square has a perimeter of 36 in. what is the Circumstances of the circle?given the exact answer in terms of pi.
vfiekz [6]

Answer:

a)B)9π

b)G)16π in²

Step-by-step explanation:

according to the question

64 \times  \frac{\pi}{4}

16\pi \:  {in}^{2}

as we know

C/d=π

C=dπ

Therefore

C=9π

6 0
3 years ago
Please, help me with my homework?
ivann1987 [24]

Answer:

yea what do you need help with?

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Can 3/8 be simplified eney more
AnnZ [28]
No, 3/8 is as simplified as it gets. This is because 3 and 8 have no common factors other than 1.
7 0
3 years ago
Other questions:
  • Please help me please! im stuck 
    13·1 answer
  • Alvin is 14 years older than elga's The sum of their ages is 94 what is elga'ss age
    7·2 answers
  • Assume that the proportion of voters who prefer Candidate A is p = 0.617 . Organization D conducts a poll of n = 5 voters. Let X
    10·1 answer
  • What percent of 8 is 0.5?
    10·1 answer
  • A figure is located entirely in the third quadrant. If you reflect it over y = 0. Which quadrant will the resulting figure lie i
    9·1 answer
  • 2. At Best Buy, two flash drives and one new mouse for your
    7·1 answer
  • I say need help plz can u also add a formula?
    8·1 answer
  • What are the coordinates for that point what’s the x,y
    14·1 answer
  • Please help! High school math
    10·1 answer
  • Triangle abc has side lengths ab = 65, bc = 33, and ac = 56. find the radius of the circle tangent to side ac and bc and to the
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!