The fixed cost to set up a manufacturing business for plastic pink flamingosis $2184. in addition, East Flamingo cost $8 in materials to produce. The least number of flamingos that a manufacturer must sell at $14 a piece to break even on cost is
The options for this answer are
a) 100
b) 156
c) 273
d) 312
e) 364
14x >= 2184 + 8x
6x >= 2184
x >= 364
The answer is 273.
The answer can't be a or b because selling 100 flamingos or 156 flamingos for $14 dollars each can only get you $1400 and $2184.
The cost of making 273 flamingos is 2184. If you sell 273 flamingos at $14 each, you will get $3822.
i dunno who to trust
Well, setting up a plastic pink flamingo manufacturing business sounds like quite the endeavor! Let's do some calculations to find the answer.
To break even on cost, the manufacturer needs to cover both the fixed cost and the cost of producing each flamingo. So, the total cost per flamingo is the sum of the fixed cost ($2184) and the cost of materials ($8), which equals $2192 per flamingo.
To figure out how many flamingos the manufacturer needs to sell to break even, we divide the total cost per flamingo ($2192) by the selling price per flamingo ($14). Using some mathematical magic, we get:
$2192 / $14 = 156.57
Since the manufacturer can't sell a part of a flamingo (that would be rather gruesome), we round up to the nearest whole number.
So, the least number of flamingos that the manufacturer needs to sell to break even is 157. But wait, that's not one of the options! Don't flamingos deserve a shot at breaking even too? Oh well, life's full of tough choices. I guess we have to go with the closest option, which in this case is b) 156.
Hope that brings a smile to your face amidst all this flamingo chaos!
whos right?
To find the least number of plastic pink flamingos that a manufacturer must sell in order to break even on the cost, we need to calculate the total cost and then divide it by the selling price of each flamingo.
The fixed cost to set up the manufacturing business is $2184. This cost does not change regardless of the number of flamingos produced.
In addition to the fixed cost, the East Flamingo cost $8 in materials to produce. This cost will vary depending on the number of flamingos produced.
Let's denote the number of flamingos as "x".
The total cost can be calculated by adding the fixed cost to the variable production cost:
Total Cost = Fixed Cost + (Variable Production Cost * Number of Flamingos)
In this case:
Total Cost = $2184 + ($8 * x)
To break even, the total cost should be equal to the revenue generated from selling the flamingos. The revenue is calculated by multiplying the selling price per flamingo by the number of flamingos sold:
Revenue = (Selling Price * Number of Flamingos)
In this case, the selling price per flamingo is $14.
To find the least number of flamingos required to break even, we need to solve the equation:
Total Cost = Revenue
$2184 + ($8 * x) = $14 * x
Now, let's solve for x:
$2184 + $8x = $14x
$2184 = $14x - $8x
$2184 = $6x
Dividing both sides of the equation by 6:
$x = 364
Therefore, the least number of flamingos that a manufacturer must sell at $14 each to break even on cost is 364.
So the answer would be (e) 364.