Which of the following helps the USPS processes mail as fast as possible?

If the supply function for a commodity is p = q2 + 6q + 16 and the demand function is p = −7q2 + 2q + 436, find the equilibrium

adell [148]

Answer:

equilibrium quantity = 7

equilibrium price = 107

Explanation:

Data provided in the question:

supply function, p = q² + 6q + 16 ........(1)

demand function is p = −7q² + 2q + 436

Now at equilibrium

Demand = Supply

Thus,

q² + 6q + 16 = −7q² + 2q + 436

or

q² + 6q + 16 + 7q² - 2q - 436 = 0

or

8q² + 4q - 420 = 0

or

2q² + q - 105 = 0

on solving for the roots of q

using the Quadratic Formula where

a = 2, b = 1, and c = -105

$[ x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }]$

a = 2, b = 1, and c = -105

Thus,

$[ q = \frac{ -1 \pm \sqrt{1^2 - 4(2)(-105)}}{ 2(2) }]$

$[ q = \frac{ -1 \pm \sqrt{1 - -840}}{ 4 }]$

$[ q = \frac{ -1 \pm \sqrt{841}}{ 4 }]$

The discriminant ( b² - 4ac > 0)

so, there are two real roots.

Therefore,

$q = [\frac{ -1 \pm 29}{ 4 }]$

$[ q = \frac{ 28 }{ 4 } \; \; \; q = -\frac{ 30 }{ 4 }]$

$[ q = 7 \; \; \; q = -\frac{ 15}{ 2 }]$

since,

Quantity cannot be negative

Thus,

q = 7

therefore, substituting q in (1)

p = 7² + 6(7) + 16

or

p = 49 + 42 + 16

or

p = 107

4 0

3 years ago

Managers are often evaluated by their employees. Employees who report to a manager are known as Blank______.

stepan [7]

Answer:

I don't know I'm sorry

Explanation:

I just want points pls forgive me

5 0

2 years ago

Trans Union Corporation issued 6,800 shares for $50 per share in the current year, and it issued 11,800 shares for $37 per share

oee [108]

Answer and Explanation:

The impact of the transactions on the financial statement are as follows

1. In case of Sold 5,000 Shares:

The total Assets Increased by $250,000 i.e (5,000 × $25) as it increased the cash balance

Total Liabilities = No Change

Total Stockholders Equity = Increased by $250,000 as it increased the overall equity

Net Income = No Change.

2. In case of sale of 10,000 shares

The total Assets Increased by $370,000 i.e (10,000 × $37) as it increased the cash balance

Total Liabilities = No Change

Total Stockholders Equity = Increased by $370,000 as it increased the overall equity

Net Income = No Change.

3. In case of Purchased 20,000 of Treasury Stock

The Total Assets Decreased by $900,000 i.e (20,000 × $45) as it reduced the cash balance

Total Liabilities = No Change

Total Stockholders Equity Decreased by $900,000 as it decreased the overall equity

Net Income = No Change.

Note:

The number of shares given i.e 6,800, 11,800 and 21,800 are incorrect use the 5,000 shares, 10,000 shares and 20,000 shares and we did the computation accordingly

7 0

3 years ago

Shoshone County uses the consumption method to account for supplies. At the beginning of the year the City had no supplies on ha

zhuklara [117]

Answer:

Expenditures $300,000; Supplies inventory $150,000.

Explanation:

The consumption method recognizes an asset when an item is purchased and an expense when an item is used or consumed. Therefore, when supplies are first bought, Supplies Inventory has a balance of $450,000.

After using those supplies during the year, $300,000 should be debited from Supplies Inventory and credited to Expenditures.

Therefore, at fiscal year-end, the appropriate account balances on the General Fund financial statements would be: Expenditures $300,000; Supplies inventory $150,000.

3 0

3 years ago

Bramble Corp. incurs the following costs to produce 9900 units of a subcomponent: Direct materials$8316 Direct labor11187 Variab

matrenka [14]

Answer:

$3,762

Explanation:

The computation is as seen below

Total cost when the production is 9,900 units

Direct materials $8,316

Direct labor $11,187

Variable overhead $12,474

Total $31,977

But,

Their new cost on supplier offer is

= $2.85 × 9,900 units

= $28,215

In the case when the order is accepted, the net income would increase by

= $31,977 - $28,215

= $3,762

5 0

3 years ago