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
algol13
3 years ago
10

If the garden is to be 6050 square feet, and the fence along the driveway costs $6 per foot while on the other three sides it co

sts only $2 per foot, find the dimensions that will minimize the cost. length along the driveway ft length perpendicular to the driveway
Business
1 answer:
Burka [1]3 years ago
4 0

Answer:

The dimension that will minimize the cost is 55 and 110(55 × 110)

Explanation:

The garden area is 6050 ft². Along the driveway the costs is $6 per foot while the other 3 area sides cost only $2 per foot.

The garden has four sides so it a rectangle .

a = length along the driveway

b = length perpendicular to the driveway

The area = a × b

ab = 6050

b = 6050/a

minimize cost = 6a + 2a + 2b + 2b

minimize cost = 8a + 4b

cost = 8a + 4b

y = 8a + 4(6050/a)

y = 8a + 24200/a

y = 8a + 24200/a

differentiate the rate of change of the cost with respect to length.

y'(a) = 8 - 24200/a²

(8a² - 24200)/a² = 0

cross multiply

8a² = 24200

a² = 24200/8

a² = 3025

a = √3025

a = 55

inserting the value of a in the area formula

ab = 6050

b = 6050/55

b = 110

You might be interested in
Geraldo owns a well-known brand and allows henry to sell products with that brand name. geraldo has agreed to:
Stells [14]
Geraldo owns a well-known brand and allows Henry to sell products with that brand name. Geraldo has agreed to: product and trade name franchising.
<span>A franchiser is the persn that licenses its know-how, procedures, intellectual property and use of its business model and brand. In our case the franchiser is Geraldo. He gives the rights to sell its branded products and services to Henry, who is called a franchisee.</span>
7 0
3 years ago
In a 1927-32 Western Electric Company study on the effect of lighting on worker productivity, productivity increased with each i
Kisachek [45]

Answer:

The answer is: B) the placebo effect

Explanation:

The placebo effect occurs when people experience a benefit after an inactive substance or treatment is administered to them. The Hawthorne Experiment led to a variation of the placebo effect which is called the Hawthorne Effect.

The Hawthorne Effect occurs when the study subjects respond to the mere attention paid to them by the study personnel. The study subjects react positively just because they are being part of an experiment.

5 0
4 years ago
For the situation in exercise 8, fashion an equitable remedy that might encourage cracked mirror to decide to keep its commitmen
natta225 [31]

Incomplete question. Here's the full text;

Cracked Mirror, a locally well-known rock group, contracts to play for your high school prom. A week before the dance, the group cancels its appearance. A teacher finds out that the band took the opportunity to perform in a concert that will pay them $800 more. The class president’s mother is an attorney and offers her services to the school.....In the question above, could you fashion an equitable remedy that might prompt Cracked Mirror to decide to keep its commitment to play at your prom? (Certain remedies that may come to mind could violate portions of the U.S. Constitution and therefore could not be pursued.)  

<u>Explanation:</u>

A good remedy that comes to mind is the equitable remedy of Specific performance. The remedy of Specific performance is usually issued by a court order requiring a party to perform a specific action, as obliged in a contract.

Thus, by suing Cracked Mirror rock group to pay monetary damages for its failure to perform could prompt them to keep its commitment to play at your prom, especially when the damages involves a significant amount.

3 0
3 years ago
Five workers from the machining department are brainstorming ideas to reduce waste. their ideas will be presented to their super
sattari [20]
The five workers comprised a self managed or self organized team in which this describes a small group or a group of people which are employees that discusses a plan in which is about activities or duties that they ought to do. Which is being done without any guidance of any higher authority. It is being described above for the group of employee has decided to discuss about their issue without the help of their supervisor.
4 0
3 years ago
Clothing Emporium was organized on January 1, 2018. The firm was authorized to issue 100,000 shares of $5 par value common stock
PolarNik [594]

Answer and Explanation:

The computation is shown below:

1 Total in Common Stock account is

= 20000 shares × $ 7 par

= $140,000

2 Ending balance in retained Earnings is

= Net income - dividends

= $100,000 - $50,000

= $50,000

3 Additional Paid in Capitalis

= (20000 shares ×  $1) + (300 preferred shares × $10)

= $23,000

4 Total Preferred Stock account is

= 300 shares × $ 5

= $1,500

5 Total Stockholder's Equity is

= $140,000 + $50,000 + $23,000 + $1,500

= $214,500

7 0
3 years ago
Other questions:
  • You plan to save $370 per month starting today for the next 46 years "just to start the month off right." You feel that you can
    5·1 answer
  • Zach is a franchisee with Digger's Doggies, a chain of hotdog shops. He was doing well until several other Digger's Doggies fran
    6·2 answers
  • At ABC Co., sales revenue is $170,000 when it spends $5000 on advertising. Sales revenue is $254,000 when $12,000 is spent on ad
    10·1 answer
  • Munoz Specialty Foods groups its customers by regions in the United​ States, such as​ Midwest, Northeast, and Southwest. For eac
    7·1 answer
  • During 2016, Skechers U.S.A., Inc. had Sales of $3,563.3 million, Gross profit of $1,634.6 million and Selling, general, and adm
    9·1 answer
  • What should government do with its spending and taxes during a recession
    13·1 answer
  • Fifty percent of an HIM department’s staff have a nationally recognized credential. This is an example of what type of indicator
    12·1 answer
  • Masters Corp. issues two bonds with 20-year maturities. Both bonds are callable at $1,050. The first bond is issued at a deep di
    12·1 answer
  • A company issued 70 shares of $30 par value preferred stock for $4,000 cash. The journal entry to record the issuance is:______.
    12·1 answer
  • rex co. holds a 30% of the shares of stock in jones, inc. jones reported net income of $60,000 during the period. rex will repor
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!