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
iren2701 [21]
3 years ago
9

The quantity demanded x for a product is inversely proportional to the cube of the price p for p > 1. When the price is $10 p

er unit, the quantity demanded is 64 units. The initial cost is $140 and the cost per unit is $4. What price will yield a maximum profit? (Round your answer to two decimal places.)
$______
Business
1 answer:
Delvig [45]3 years ago
4 0

Answer:

$6.00

Explanation:

Given data

quantity demanded ( x )  ∝ 1 / p^3       for p > 1

when p = $10/unit , x = 64

initial cost = $140, cost per unit = $4

<u>Determine the price that will yield a maximum profit </u>

x = k/p^3 ----- ( 1 ).  when x = 64 , p = $10 , k = constant

64 = k/10^3

k = 64 * ( 10^3 )

  = 64000

back to equation 1

x = 64000 / p^3

∴ p = 40 / ∛x

next calculate the value of revenue generated

Revenue(Rx) = P(price ) * x ( quantity )

               = 40 / ∛x * x   =  40 x^2/3

next calculate Total cost of product

C(x) = 140 + 4x

Maximum Profit  generated = R(x) - C(x) = 0

                                              = 40x^2/3 - 140 + 4x  = 0

                                              =  40(2/3) x^(2/3 -1) - 0 - 4 = 0

                                            ∴ ∛x = 20/3    ∴     x = (20/3 ) ^3 = 296

profit is maximum at x(quantity demanded ) = 296 units

hence the price that will yield a maximum profit

P = 40 / ∛x

  = ( 40 / (20/3) )  = $6

                                             

You might be interested in
What is the new fourth sector of the economy
Naddik [55]

information technology

5 0
3 years ago
The following are the Consumer Price Index (CPI) for the years 1991-1993. All of the values use a reference year of 1986.
Mnenie [13.5K]

Answer:

1986 is the base year. so, the CPI of the base year is always 100%.

Option A

The value of $100 in 1993 would be = ($100/CPI of 1986) * CPI of 1993

= ($100/100) * 135

= $135

So, Option A is true.

Option B

$100 in 1992 would have been worth in 1986: ($100/CPI of 1992) * CPI of 1986

= ($100/120) * 100

= $83.33

So, Option B is false.

Option C

$100 in 1991 would have been worth in 1986: ($100/CPI of 1991) * CPI of 1986

= ($100/110) * 100

= $90.91

So, Option C is false.

Option D

The value of $100 in 1992 would be: ($100/CPI of 1993) * CPI of 1992

= ($100/135 * 120

= $88.89

So, Option D is false.

6 0
3 years ago
Partners Dennis and Lilly have decided to liquidate their business. The following information is available:
fgiga [73]

Answer:

Partners Dennis and Lilly have decided to liquidate their business. The following information is available:

Cash $100,000 Accounts Payable $100,000

Inventory $200,000 Dennis, Capital $120,000

Lilly, Capital $80,000

$300,000 $300,000

Dennis and Lilly share profits and losses in a 3:2 ratio. During the first month of liquidation, half the inventory is sold for $60,000, and $60,000 of the accounts payable is paid. During the second month, the rest of the inventory is sold for $45,000, and the remaining accounts payable are paid. Cash is distributed at the end of each month, and the liquidation is completed at the end of the second month.

1. Using a safe payments schedule, how much cash will be distributed to Dennis at the end of the first month?

a. $36,000

b. $64,000

c. $60,000

d. $24,000

2. Using a safe payments schedule, how much cash will be distributed to Lilly at the end of the first month?

a. $40,000

b. $24,000

c. $64,000

d. $16,000

4 0
3 years ago
What do you think are the most important values and attitudes to have in order to suucessful in a job? why?
VARVARA [1.3K]

Answer:

Responsibility and trustability.

Explanation:

As it is important to have an strong comunication and a teamwork mental fram, every organization have a different culture and in the core of what is important to job performance an individual must be realistic and be responsible and trustable for its specific task and environment  before caring to enhance colleagues job performances.

4 0
3 years ago
Delivery costs at Hernandez, Inc. appear below for specific months of operations: Month Amount Units Produced March $20,000 16,0
prisoha [69]

Answer:

2. Variable

Explanation:

Delivery costs at Hernandez, Inc are variable costs because they depend on the level of output.

As it can be seen, in March, the units produced where 16,000, and the delivery costs were $20,000. However, in April, the units produced fell to 12,000, and the delivery costs also fell accordingly, to $18,000.

6 0
4 years ago
Other questions:
  • Sunshine has developed a new cruise offering and is targeting a single, specific segment with a single marketing message. this i
    15·1 answer
  • 5
    15·1 answer
  • The brain imaging method in which the participant carries out one task (e.g., reading aloud), then a variant of that task (e.g.,
    11·1 answer
  • Zitrik Corporation manufactured 90,000 buckets during February. The variable overhead cost-allocation base is $5.05 per machine-
    12·1 answer
  • On December 12, 2018, an investment costing $87,000 was sold for $114,000. The total of the sale proceeds was credited to the in
    14·1 answer
  • How do the activities of marketing for value fulfill the marketing concept for the market-oriented organization
    9·1 answer
  • An organization's job structure consists of relative pay for different functions and different levels of responsibility.
    6·1 answer
  • Brothern Corporation bases its predetermined overhead rate on the estimated machine-hours for the upcoming year. Data for the mo
    15·1 answer
  • Hello? kingston? are you there?
    11·1 answer
  • PLEASE HELP I NEED A BUSINESS REPORT!!!! DUE IN 25MINUTES PLEASEEEEEEE
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!