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kondor19780726 [428]
3 years ago
10

Brand Z's annual sales are affected by the sales of related products X and Y as follows: Each $1 million increase in sales of br

and X causes a $2.5 million decline in sales of brand Z, whereas each $1 million increase in sales of brand Y results in an increase of $0.4 million in sales of brand Z. Currently, brands X, Y, and Z are each selling $6 million per year. Model the sales of brand Z using a linear function. (Let z = annual sales of Z (in millions of dollars), x = annual sales of X (in millions of dollars), and y = annual sales of Y (in millions of dollars).)
Business
1 answer:
atroni [7]3 years ago
3 0

Answer:

Explanation:

The linear equation is shown below:

We take the help of partial derivatives that means if the X is changes then also changes the Z

The normal linear equation is

Z = ax + by + c

where,

a = -$2.5

b = $0.4

Z = -2.5x + 0.4y + c.

And,

X = Y = Z = 6

Now put the values so, it would be

(Z - 6) = -2.5 × (x -6) + 0.4 × (y-6)

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exis [7]

Answer:

Will increase

Explanation:

Substitutes are the goods which have high elastic demand or positive cross elasticity of demand. An increase in price substantially affects the demand for a substitute good. For example, if tea and coffee are substitutes, an increase in the price of coffee will increase the demand for tea and the overall surplus in the team market.

5 0
3 years ago
What you give up for taking some action is called the . is falling when marginal cost is below it and rising when marginal cost
Nezavi [6.7K]
<span>What you give up for taking some action is called the opportunity cost.

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A cost that does not depend on the quantity produced is a fixed cost.

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Profits equal total revenue minus total cost.

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4 0
2 years ago
The Justice Department refused to approve a merger between office supplier Staples and office supplier Office Depot, a merger th
artcher [175]

Answer:

The correct answer is A) A market share of over 50% from the combined companies

Explanation:

The Clayton Act of 1914 regulates acquisitions and mergers in the United States. This is the legal source that the Justice Deparment would use to approve or disapprove the merger described in the question. It explicitly forbids mergers that result in over 50% of market share, because it consideres a higher percentage than that (a market share from 50% to 99%) to configurate a monopoly.

The merger in the question would result in a 70% market share, way higher than the legal limit, hence it would be denied by the DOJ.

3 0
3 years ago
The Signal Company has operating income (EBIT) before depreciation expense of $1,500,000. The company’s depreciation expense is
ANEK [815]

Answer:

A. Net income is $825,000; and Net cash flow is $1,225,000.

B. Net income is $750,000; and Net cash flow is $1,150,000.

C. Parts A net cash flow will equal part B net cash flow by deducting $75,000 difference, or Parts B net cash flow will equal part A net cash flow by addiing $75,000 difference.

Explanation:

The following are given:

Operating income (EBIT) before depreciation expense = $1,500,000

Depreciation expense = $400,000

Tax rate = 25%

We therefore proceed as follows:

A. If the company is 100% equity financed (zero debt), calculate its net income and net cash flow.

<u>Calculation of net income</u>

Income after depreciation but before tax = Operating income (EBIT) before depreciation expense - Depreciation expense = $1,500,000 - $400,000 = $1,100,000

Tax expense = Income after depreciation but before tax * Tax rate = $1,100,000 * 25% = $275,000

Net income = Income after depreciation but before tax - Tax expenses = $1,100,000 - $275,000 = $825,000

<u>Calculation of net cash flow</u>

Net cash flow = Net income + Depreciation expense = $825,000 - $400,000 = $1,225,000

B. If the company (instead) has $100,000 in annual interest expense, recalculate the net income and net cash flow.

<u>Calculation of net income</u>

Income after depreciation and interest expenses but before tax = Operating income (EBIT) before depreciation expense - Depreciation expense - Interest expense = $1,500,000 - $400,000 - $100,000 = $1,000,000

Tax expense = Income after depreciation and interest expense but before tax * Tax rate = $1,000,000 * 25% = $250,000

Net income = Income after depreciation and interest expense but before tax - Tax expenses = $1,000,000 - $250,000 = $750,000

<u>Calculation of net cash flow</u>

Net cash flow = Net income + Depreciation expenses = $750,000 + $400,000 = $1,150,000

C. Explain the difference in your answers to parts A & B – specifically, reconcile the change in net cash flow that occurred.

Difference in net income = Part A net income - Part B net income = $825,000 - $750,000 = $75,000

Difference in net cash flow = Part A net cash flow - Part B net cash flow = $1,225,000 - $1,150,000 = $75,000

Each of Part A net income and net cash flow is $75,000 greater than part B because part A is an 100% equity financed with the need to pay annual interest expense on debt of $100,000 like in Part B before calculating the Tax expense and the net income.

The $75,000 diffence is as a result of additional tax that Part A has to paid on $100,000. That is,

Additional tax expense in part A = Interest expense not paid in Part A * Tax rate = $100,000 * 25% = $25,000

Diffrenrence = Intererest expense not paid in part A - Additional tax expense = $100,000 - $25,000 = $75,000

For example, if there is no annual interest of $100,000 to be paid in part B, we can then reconcile by just addinf back the difference as follows:

Part B new net cash flow = Part B initial cash flow + Difference in net cash flow = $1,150,000 + $75,000 =  $1,225,000 = Part A net cash flow

Also, if annual interest expense has to be paid in part A as a result of being now financed by debt, we will just deduct the difference as follows:

Part A new net cash flow = Part A initial cash flow - Difference in net cash flow = $1,225,000 -  $75,000 =  $1,150,000 = Part B initial net cash flow.

5 0
3 years ago
Explain why taking a monotonic transformation of a utility function does not change the marginal rate of substitution (MRS).
fredd [130]

Explanation:

Monotonic transformation refers to changing the quantity of both the variables in a way that their ranking or order is preserved. Monotonic transformation of a utility function does not change the marginal rate of substitution as the order of preferences remains intact with the monotonic transformation. It's just the level of utility that either increases or decreases with such a transformation. The indifference curve shape remains the same. With monotonic transformation, consumer moves from a lower to higher or higher to lower indifference curve.

7 0
3 years ago
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