Answer:
Step 1: Identify and define the problem
Explanation
This is the first goal to achieve for the company in order to select an alternative upon a rational decision-making process.
Answer:
a) Absolute Value Inequality => Absolute(0 + y) < 2
b) -2 < y < 2
Which means, Johnson Family has to live within the range of -2 to +2 from the fire department. Otherwise, they will have to pay 500 USD as increased deductible.
Explanation:
<u><em>Johnson Family has to live within the range of -2 to +2 from the fire department.
</em></u>
<em>a) Absolute Value Equation:</em>
Absolute(0 + y) < 2
where y represent the location of the new house and 0 represents the location of the fire department.
Furthermore,
<em>Absolute(0 + y) < 2 = (0 + x) < 2 when (0 + y) is +ve. </em>
and
<em>Absolute(0+y) <2 = -(0 + x) < 2 when (0 + y) is -ve.
</em>
b) When (0 + y) is +ve,
we have, (0 + y) < 2.
<em>Solving for y and subtracting 0 from both sides. </em>
0-0 + y < 2 - 0
<em>y < 2</em>
and when (0 + y) is -ve,
<em>we have, - (0 + y) < 2.
</em>
Solving for y:
- 0 - y < 2
multiplying negative from both sides
<em>y > - 2</em>
<em>So, we have -2 < y < 2 </em>
<em>Johnson Family has to live within the range of -2 to +2 from the fire department. Otherwise, they will have to pay 500 USD as increased deductible. </em>
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Answer:
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Explanation:
Answer:
Production department $440,000
Sales department $143,000
Explanation:
The allocation of the total cost to the operating departments is proportional to the number of employees. In other words, as the number of employees increases, so does the allocated cost and vice versa.
Hence,
Cost allocated to the production department
= 40/(40 + 13) × $583,000
= 40/53 × $583,000
= $440,000
Cost allocated to the sales department
= 13/(40 + 13) × $583,000
= 13/53 × $583,000
= $143,000