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vagabundo [1.1K]
2 years ago
15

New Town Instruments is analyzing a proposed project. The company expects to sell 1,600 units, ±3 percent. The expected variable

cost per unit is $220 and the expected fixed costs are $438,000. Cost estimates are considered accurate within a ±2 percent range. The depreciation expense is $64,000. The sales price is estimated at $647 per unit, ±2 percent. What is the sales revenue under the worst-case scenario?
Business
1 answer:
SOVA2 [1]2 years ago
0 0

Answer:

  • What is the sales revenue under the worst-case scenario?

$ 125,032

Explanation:

Initial Escenario

TOTAL     Income Statement Unit   Quantity

$ 1,035,200 Total Net Sales       $ 647  1.600  

-$ 352,000 Variable Cost          $ 220  

-$ 64,000 Depreciation Expenses  

$ 619,200 Contributing Margin  

-$ 438,000 Anual Fixed Costs  

$ 181,200 Segment Margin  

Worst Case Escenario

Quantity fall 3% from 1,600 to 1,552

Price Fall 2% from $647 to $634

Variable Cost Increase 2% from $220 to $224

Anual Fixed Cost Increase 2% from $438,000 to $446,760

Depreciation Expenses maintained at the same level.

TOTAL Income Statement Unit Quantity

$ 984,061 Total Net Sales $ 634  1.552  

-$ 348,269 Variable Cost         $ 224  

-$ 64,000 Depreciation Expenses  

$ 571,792 Contributing Margin  

-$ 446,760 Anual Fixed Costs  

$ 125,032 Segment Margin  

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An investor buys a property for $608,000 with a 25-year mortgage and monthly payments at 8.10% APR. After 18 months the investor
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$71,520

Explanation:

we must first determine the monthly payment:

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Suppose the company that owns the vending machines on your campus has doubled the price of a can of soda. if they then still sel
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On January 1, 20X9, Pirate Corporation acquired 80 percent of Sea-Gull Company's common stock for $160,000 cash. The fair value
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. A company produces two products, A and B, which have profits of $9 and $7, respectively. Each unit of product must be processe
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Answer:

(a) Linear model

max\ P = 9x + 7y

Subject to:

12x + 4y \le 60

4x + 8y \le 40

x,y \ge 0

(b) Standard form:

max\ P = 9x + 7y

Subject to:

12x + 4y + s_1 = 60

4x + 8y +s_2= 40

x,y \ge 0

s_1,s_2 \ge 0

Explanation:

Given

\begin{array}{ccc}{} & {Hours/} & {Unit} & {Product} & {Line\ 1} & {Line\ 2} & {A} & {12} & {4} & {B} & {4} & {8} & {Total\ Hours} & {60} &{40}\ \end{array}

Solving (a): Formulate a linear programming model

From the question, we understand that:

A has a profit of $9 while B has $7

So, the linear model is:

max\ P = 9x + 7y

Subject to:

12x + 4y \le 60

4x + 8y \le 40

x,y \ge 0

Where:

x \to line\ 1

y \to line\ 2

Solving (b): The model in standard form:

To do this, we introduce surplus and slack variable "s"

For \le inequalities, we add surplus (add s)

Otherwise, we remove slack (minus s)

So, the standard form is:

So, the linear model is:

max\ P = 9x + 7y

Subject to:

12x + 4y + s_1 = 60

4x + 8y +s_2= 40

x,y \ge 0

s_1,s_2 \ge 0

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