BUSINESS COLLEGE

Supply and demand for a product are both a linear function of price. Suppose that if a price of $8 is charged, 8 units will be demanded; that if a price of $5 is charged, 20 units will be demanded; that if a price of $3 is charged, 38 units will be supplied; and that if a price of $1 is charged, 26 units will be supplied. For what price will supply equal demand?

Answers

Answer 1
Answer:

Answer:

At $2 supply and demand are in equilibrium for 32 quantity

Explanation:

We have to solve for the linear equation first, and then calcualte the equilibrium price and quantity

m = (y_1- y_2)/(x_1-x_2)

Demand

\left[\begin{array}{cc}x&y&5&20&8&8\end{array}\right]

m = (20- 8)/(5-8) = 12/ -3 = -4

Then we solve for h

20 = -4*5 + h \n 20+20 = h \nh = 40

Demand would be y = -4x +40

We repeat the process with supply

\left[\begin{array}{cc}x&y&1&26&3&38\end{array}\right]

m = (38- 26)/(3-1) = 12/ 2 = 6

38 = 6*3 + h \n 38 -18 = h \nh = 20

Supply is y = 6x + 20

Now we can solve for equilibrium price

\left \{ {{y = -4x +40} \atop {y = 6x + 20}} \right.

-4x + 40 = 6x + 20

20 = 10x

x = 20/ 10 = 2 price

And quantity

6 x 2 + 20 = 32

-4x2 + 40 =  32

Related Questions

Your company sponsors a 401(k) plan into which you deposit 10 percent of your $123,000 annual income. Your company matches 75 percent of the first 10 percent of your earnings. You expect the fund to yield 12 percent next year. Assume you are currently in the 31 percent tax bracket. a. What is your annual investment in the 401(k) plan? (Round your answer to the nearest whole number. (e.g., 32))b. What is your one-year return?
Alejandro is the type of manager who completely focuses on efficiency, and he assumes workers are rational. Alejandro is probably applying the ________ viewpoint.
Sample Test Problem 9.4 Management is considering developing new computer software. The cost of development will be $675,000, and management expects the net cash flow from sale of the software to be $195,000 for each of the next six years. If the discount rate is 14 percent, What is the IRR on this project? (Round answer to 3 decimal places,e.g. 15.221.) IRR %
Examine the values for depreciation in 2014 and net fixed assets in 2013 and 2014. What was Fincorp gross investment in plant and equipment during 2014?
In 2016, Teller Company sold 3,000 units at $600 each. Variable expenses were $420 per unit, and fixed expenses were $270,000. The same selling price, variable expenses, and fixed expenses are expected for 2017. What is Teller's break-even point in units for 2017

The owners of a chain of​ fast-food restaurants spend $ 25 million installing donut makers in all their restaurants. This is expected to increase cash flows by $ 12 million per year for the next five years. If the discount rate is 6.6​%, were the owners correct in making the decision to install donut​ makers? Round answer to the nearest million.

Answers

Answer:

As the NPV of the project is $25 million and is positive, the owners made a correct decision to install donut makers.

Explanation:

An investment will add value when the Net Present Value of an investment is positive. The net Present Value (NPV) of an investment is the present value of all the future cash flows expected as a result of an investment less the initial cost of the project/investment.

As the cash flows from the investment will be a constant $12 million after equal intervals of time for a period of five years, this can be treated as an annuity and the NPV of the project can be calculated as the Present value of $12 million annuity less the initial cost of the investment of $25 million.

NPV = 12 * [ 1 - (1+0.066)^-5  /  0.066]  -  25

NPV = $24.73 million or $25 million rounded off to the nearest million

When other things remain equal, buyers are expected to stock up from the normal product that they expect its market price to decline significantly in the soon future.a) true
b) false

Answers

Answer:b) false

Explanation:

They would not want to stock up on something that the market price will decline significantly on, they would do the opposite

Answer:

False

Explanation:

This is false, they would want to do the opposite, not stock up

Andrews has a new design for their product Axe next round that can reduce their material cost of producing units from $8.13 to $7.33. Andrew passes on one quarter of all cost savings by cutting the current price to customers. For simplicity: Current selling price = $19.00; Use current labor costs of $4.02; Use period costs of $7,260 (from Income Statement). Required:
Determine the new selling price to break even next round.

Answers

Answer:

$18.80

Explanation:

New selling price = Old selling price - Adjustments

Old selling price = $19.00, Adjustments = 1 quarter of reduced raw material costs difference

New selling price = $19.00 - ($8.13 - $7.33)/4

New selling price = $19.00 - $0.20

New selling price = $18.80

So, the new selling price to break even next round is $18.80.

Clayborn Company deposits all cash receipts on the day they are received and makes all cash payments by check. At the close of business on May 31, its Cash account shows a debit balance of $24,525. Clayborn's May bank statement shows $21,800 on deposit in the bank. Determine the adjusted cash balance using the following information: Deposit in transit $ 7,450 Outstanding checks $ 6,100 Bank service fees, not yet recorded by company $ 100 A NSF check from a customer, not yet recorded by the company $ 1,275 The adjusted cash balance should be:

Answers

Answer:

Clayborn Company

The adjusted cash account balance (debit) should be:

$23,150

Explanation:

a) Data and Calculations:

Cash account balance (debit) $24,525

Bank Statement balance $21,800

Reconciliation issues:

Deposit in transit $ 7,450

Outstanding checks $ 6,100

Bank service fees, not yet recorded by company $ 100

A NSF check from a customer, not yet recorded by the company $ 1,275

b) Adjusted Cash balance:

Cash account balance (debit)  $24,525

NSF check                                     (1,275)

Bank service fees                           (100)

Adjusted cash balance (debit) $23,150

c) Adjusted Bank Statement balance:

Bank Statement balance   $21,800

Deposit in transit                   7,450

Outstanding checks             (6,100)

Adjusted bank statement $23,150

Final answer:

The adjusted cash balance is calculated by adjusting the company's book balance for deposits in transit and outstanding checks, and then subtracting the bank service fees and the amount of the NSF check. The final adjusted cash balance for Clayborn Company on May 31 is $24,500.

Explanation:

To determine the adjusted cash balance for Clayborn Company, we must consider the cash balance according to the company's books, the deposit in transit, the outstanding checks, the bank service fee, and the NSF check. The books report a debit balance of $24,525, but we need to adjust this amount for the deposit in transit and the outstanding checks. Adding the deposit in transit of $7,450 gives us $31,975. Subtracting the outstanding checks of $6,100 results in an adjusted balance of $25,875.

Next, we have to account for the bank service fees and the NSF check from a customer, both of which were not yet recorded by the company. The bank service fees of $100 and the NSF check of $1,275 decrease our balance, so subtracting these from the $25,875 gives us the final adjusted cash balance of $24,500.

Learn more about Adjusted Cash Balance here:

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A firm's dividend payments less any net new equity raised is referred to as the firm’s:a. operating cash flow.b. capital spending.c. net working capital.d. cash flow from creditors.e. cash flow to stockholders.

Answers

Answer:

The correct answer is letter "E": cash flow to stockholders.

Explanation:

The cash flow to stockholders is the amount of money a firm pays to its debtholders and stockholders. It is calculating by subtracting the dividends paid minus new equity -if raised any. The Board of Directors determines the amount and the period to be considered for the dividends and if they are paid from the organization's current earnings or the reserve revenues.

A movie ticket cost $0.5 in 1970. The CPI (1970) and the CPI (2011) was 38.8 and 218.8 respectively. How much money would you have needed in 2011 to buy a movie ticket?help please ​

Answers

Answer:

$2.82

Explanation:

The CPI is the measure of the average changes in prices of consumer goods and services. The CPI compares current prices and prices at the base year.

CPI is expressed as a percentage. It represents the cost of goods in a given year divided by the cost of goods in the base year multiplied by 100.

In 1970, the movie price was $0.50, and CPI was 38.8%

in 2011, CPI was 218.8%; the movie price will be?

in 1970: $0.50 =38.8%

in 2011: ? = 218.8%

?= 218.8/38.8 x $0.50

?=5.6392 x 0.50

=$2.81896

=$2.82
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