The lowest percentage increase in the cost of dye that would make the scarves unprofitable is 42%
<h3>How to calculate the percentage?</h3>
(Price- Unit Cost)/Price= 20% or 0.2
Price- Unit Cost= 0.2 Price
0.8 Price = Unit Cost
Let Unit Cost be x
Price = x/0.8= 1.25x
Dye is 60% of unit costs= 0.6x
Cost of remaining material= 1 - 0.6x = 0.4x
Unit Cost= Cost of Dye+ Cost of remaining material
So, in order to become unprofitable, Unit Cost must be 1.25x
Therefore
1.25x= Maximum cost of dye+ 0.4x
Maximum Cost of Dye = (1.25-0.4)x = 0.85x
Percentage change in cost of dye= {(0.85x-0.6x)/0.6x}*100= 41.66 or 42%
Therefore, theowest percentage increase in the cost of dye that would make the scarves unprofitable is 42%.
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<em>*100% CORRECT ANSWERS</em>
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Answer: y + 2 = -7/6 ( x - 4 )
Answer:
The offices can be filled in 4080 ways.
Step-by-step explanation:
This question can simply be solved by permutations.
For the first office there are 17 people available, for the second office 16 people are available, and for the third office 15 people are available.
17x16x15 = 4080 ways.
It can be also thought in a simpler way by thinking that we are to make a combination of 3 people from 17 people and those 3 people can further be ordered into 3! ways. So the number of ways are:
3! x 17C3 = 17P3 = 4080 ways
