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
neonofarm [45]
2 years ago
12

A cylindrical can that has a capacity of 20 m3 will be made. The metal used to build the top costs $10 per square meter while th

e bottom costs $20 per square meter. The material used for the side costs $15 per square meter. What are the dimensions that will minimize the cost?.
Business
1 answer:
Alchen [17]2 years ago
8 0

The dimensions of the cylinder can be used to minimise cost of manufacture.

<h3>How to we find minimised cost?</h3>

Let's ignore the metal's thickness and assume that the material cost to manufacture is precisely proportionate to the surface area of a perfect cylinder.

A=2πr(r+h)

Given that V=1000=r2h and h=1000=r2, we can write

A=2πr(r+1000πr2)

A=2πr2+2000r−1

By setting the derivative to zero, we may determine the value of r that minimises A:

A′=4πr−2000r−2

0=4πr−2000r−2

2000r−2=4πr

2000=4πr3

r=500π−−−√3

r=5.419 + cm

h=1000πr2=10.838 + cm

The can with the smallest surface area has a volume of 1000 cm 3 and measures 5.419+ cm in radius and 10.838+ cm in height. The can has a surface area of 553.58 cm 2. Given a constant volume, the cylinder with diameter equal to height has the least surface area.

Can surface area (cm2) versus. radius (cm), where capacity = 1000cm 3.

Learn more about manufacturing here:

brainly.com/question/17111259

#SPJ4

You might be interested in
Use the following information to answer this... Use the following information to answer this question. Windswept, Inc. 2010 Inco
prisoha [69]

Answer:

The Quick ratio: 0.86:1

Explanation:

The question is completed first as follows:

Windswept, Inc. 2009 and 2010 Balance Sheets ($ in millions) 2009 2010 2009 2010 Cash $ 270 $ 300 Accounts payable $ 1,530 $ 1,485 Accounts rec. 1,080 980 Long-term debt 1,140 1,340 Inventory 1,930 1,755 Common stock $ 3,420 $ 3,370 Total $ 3,280 $ 3,035 Retained earnings 680 930 Net fixed assets 3,490 4,090 Total assets $ 6,770 $ 7,125 Total liab. & equity $ 6,770 $ 7,125 What is the quick ratio for 2010?

Solution:

The requirement is to use the given information to calculate Windswept Inc's Quick ratio for 2010.

Quick ratio: this represents the ability of an organisation's short term liquidity to cover and cater for its short term obligation. Basically, it looks at the ratio of the current assets of an organisation (those that can be quickly converted to cash) to meet the current liabilities.

The formula for quick ratio= Current Assets - Inventory / Current Liabilities

Windswept's quick ration = Cash + Accounts receivable / Accounts Payable (all for 2010)

= $300 + 980 / $1, 485

= $1,280/$1,485

= 0.86:1

This means that the current asset of the company can only cover its current obligations up to about 86%. This is the quick ratio.

5 0
3 years ago
Southern Markets has sales of $78,400, net income of $2,400, costs of goods sold of $43,100, and depreciation of $6,800. What is
Helen [10]

Answer:

36.35%

Explanation:

According to the scenario, computation of the given data are as follows,

Sales = $78,400

Net income = $2,400

Cost of goods sodl = $43,100

Depreciation = $6,800

So, we can calculate the EBIT value by using following formula:

= EBIT ÷ Sales

= ($78,400  - $43,100 - $6,800) ÷ ($78,400)

= $28,500 ÷ $78,400

= 36.35%

Hence, the common-size statement value of EBIT is 36.35%

3 0
3 years ago
Askew Company uses a periodic inventory system. The June 30, 2021, year-end trial balance for Askew company contained the follow
Softa [21]

Answer:

$233,000

Explanation:

As we know that

Cost of goods sold = Beginning inventory + net purchase - ending inventory

where,

Beginning inventory = $32,000

Net purchase is

= Purchase - purchase discounts - purchase returns + freight in

= $240,000 - $6,000 - $10,000 + $17,000

= $241,000

And, the ending inventory is $40,000

So, the cost of goods sold is

= $32,000 + $241,000 - $40,000

= $233,000

We simply applied the above formula so that the cost of goods sold could come

7 0
3 years ago
The three goals of sustainable development that include economic, environmental, and ethical sustainability are referred to as t
kiruha [24]

Answer:

The three main pillar of sustainability

Explanation:

Sustainability is fulfilling the present needs without compromising the needs of the future generation.

The three main pillars of sustainability include economic, environmental and social.

Economic pillar of sustainability - it is referred to that strategy that focuses is to use economic resources in a sustainable.

Environmental pillar of sustainable - it is focused on the use of such thing that lower the impact of facilities on the environment

Social Pillar of sustainable - is work on training programs to fulfill the needs of individuals according to the group.

3 0
3 years ago
Read 2 more answers
The time required for an automotive center to complete an oil change service on an automobile approximately follows a normal​ di
sveticcg [70]
Let X be the time or period needed for an automobile center to finish an oil change.

X ∼ N (17, 2.5) 

a) 

P(X ≥ 20) = P((X - 17)/5 ≥ (20- 17)/2.5) = P(Z ≥ 1.2) = .1151 *100 = 11.51% is the answer

b) 
P(X ≥ x) = 0.07 

P (X - 17)/2.5 ≥ (x - 17)/2.5) = 0.07

P (Z ≥ z) = 0.07
look at the z table, 0.07 lies between 1.47 and 1.48, add and then divide you'll get:z = 1.475

1.475 = (x - 17)/2.5 

x = 20.6875 ≈ 21 minutes
3 0
3 years ago
Other questions:
  • A company is formulating its plans for the coming year, including the preparation of its cash budget. Historically, the company'
    5·1 answer
  • In an imaginary economy, consumers buy only sandwiches and magazines. The fixed basket consists of 20 sandwiches and 30 magazine
    6·1 answer
  • Directional Lock Question #5: This investment is bought with the goal of
    14·1 answer
  • Blackhorse Productions, Inc. used the aging of accounts receivable method to estimate that its Allowance for Doubtful Accounts s
    8·1 answer
  • _____ planning normally is performed by middle managers and typically has a one-year time frame? 1. Strategic planning 2. Tactic
    14·1 answer
  • Ginny Paulson was just promoted to marketing manager for her company. She also gets a big raise with the promotion. Because Ginn
    5·1 answer
  • Quentin operates an ice cream franchise which has shops throughout the United States. CoolCream Co., the franchisor, supplies th
    15·1 answer
  • Which of the following items are allowed when calculating an individual taxpayer's alternative minimum tax?a. Standard deduction
    8·1 answer
  • Mandy, an Adlerian group leader is helping group members to realize they have choices in their lives about which stimuli they pa
    9·1 answer
  • Portal/site/MKTG-301-30-S1-2122/tool/Acdab 156 4646-412-6727.63abf7286271/e/delivery/deliver Assessment
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!