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Zepler [3.9K]
3 years ago
11

A store has been selling 100 DVD burners a week at $450 each. A market survey indicates that for each $30 rebate offered to buye

rs, the number of units sold will increase by 60 a week. Find the demand function and the revenue function. How large a rebate should the store offer to maximize its revenue?
Business
1 answer:
Ivanshal [37]3 years ago
7 0

Answer:

a rebate of 200 dollars will generate 500 sales

with a revenue of 125,000

Explanation:

We need to maximize the total revenue which is:

TR = Price x Quantity. First we define each of these:

P = (450 - 30X)

Q = (100 + 60X)

Being X the cash rebate

We now replace this into the TR formula:

TR = P x Q = (450 -30X) (100 + 60X)

TR = -1800x2 +27,000x -3,000x + 45,000

TR = -1800x2 +24,000x + 45,000

as this is a quadratic function: a: -1,800 b = 24,000 c = 45,000

the maximum revenue will be at the vertex: -b/2a

-24,000/2(-1,800) = 6.67

now we multiply by 30: 6.67 x30 = 200 dollars

which bring 60 x 6.67 = 400 new customers

250 x (100 +400) = 250 x 500 = 125,000

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Mary is in contract negotiations with a publishing house for her new novel. She has two options. She may be paid $100,000 up fro
Mazyrski [523]

Rule I is correct.

<u>Explanation:</u>

Year Cash flow Pv at 8% Discounted cash flow

0           100000              1         100000

1            26000              0.9259 24074.074

2            26000               0.8573 22290.809

3             26000         0.7938 20639.638

4             26000      0.7350 19110.776

5             26000       0.6806 17695.163

From the above calculation, the net present value is $203810.46

          Option 1   Option 2

NPV 203810.5 200000

Payback    5 years   0 years

IRR             No IRR No IRR

NPV (Net present value) option say that former would be selected

So, answer is Rule I only.

5 0
4 years ago
Lew, an individual investor, sold 100 shares of Global Tech stock on Monday. Janice, another individual investor, purchased thos
jeyben [28]

Answer: Option D. Secondary Market

Explanation:

Secondary market is a marketplace where already issued shares and securities can be bought and sold by the investors. Secondary market is a market where investors buy shares or securities from other investors, and not from the issuing company. When a company issues its securities for the first time, it does it in the primary market. After the Initial Public Offering, those securities get available for trade in the secondary market. Stock markets such as the New York Stock Exchange (NYSE) and the NASDAQ are examples of the secondary markets.

8 0
3 years ago
Which describes a method for allocating scarce resources?
sergiy2304 [10]

Answer: The Payne County Commission decides to distribute more property taxes to the Public School system for new computers.

Explanation: A good illustration of management of scarce resources is when the county uses taxes to fully furnish all the county schools with new computers.

The income coming to the county although not much is properly handled to make purchase of computers for all schools.

6 0
3 years ago
Read 2 more answers
A commercial bank has checkable-deposit liabilities of $500,000, reserves of $150,000, and a required reserve ratio of 20 percen
soldi70 [24.7K]

Answer:

b. $50,000 and $250,000.

Explanation:

The computation is shown below:

The required reserve is

= Check-able-deposit liabilities × reserve ratio

= $500,000 × 20%

= $100,000

The excess reserves is

= Actual reserves - required reserves

= $150,000 - $100,000

= $50,000

And, the amount that increase the loan is

= Excess reserves ÷ reserve ratio

= $50,000 ÷ 20%

= $250,000

8 0
4 years ago
During its first year of operations, a company has credit sales of $250,000 and cash sales of $100,000. By the end
Luba_88 [7]

Answer:

Debit : Bad Debts = $4,200

Credit : Allowance for doubtful debts = $4,200.

Explanation:

The question states that bad debts are expected to be 6% of the accounts receivables. Credit sales were $250,000 of which $180,000 was collected. Hence, accounts receivables is ($250,000 - $180,000) = $70,000.

This means that the allowance for doubtful debts is it is: $70,000 x 6% = $4,200.

An account for allowance for doubtful debts is a contra account created, predicting that certain debtors will not be able to pay for the goods and services they purchased. The 6% may be based on historical experiences. Doubtful debts aren’t officially uncollectible, it is simply an estimation made, but bad debts are, where you have officially written off a certain accounts receivable as uncollectible.

An allowance for doubtful debts is recorded in the balance sheet, directly under accounts receivables. Bad debts are recorded as an expense in the income statement.

The entry to record the above transaction is:

Debit : Bad Debts = $4,200

Credit : Allowance for doubtful debts = $4,200.

When the amount is officially declared uncollectible, the allowance for doubtful debts account will be debited and the accounts receivables account will be credited.

5 0
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