The cost of producing 4 metal units is $204.80. The cost of producing 8 units is $209.60. What will it cost to produce 14 units?
It only costs $4.80 to produce an additional 4 units?
That is $1.20 per additional unit.
$204.80 + 10($1.20) = ?
Typos?
To find the cost of producing 14 units, we can set up a ratio using the given information:
Cost of producing 4 units = $204.80
Cost of producing 8 units = $209.60
Let's calculate the cost per unit first:
Cost per unit = Total cost / Number of units
For producing 4 units:
Cost per unit = $204.80 / 4 = $51.20
For producing 8 units:
Cost per unit = $209.60 / 8 = $26.20
Now, we can use the cost per unit to find the cost of producing 14 units:
Cost of producing 14 units = Cost per unit * 14
Cost of producing 14 units = $26.20 * 14 = $366.80
Therefore, it will cost $366.80 to produce 14 units.
To find the cost of producing 14 units, we can use a proportional relationship between the number of units produced and the cost.
First, let's calculate the cost per unit. We can do this by finding the difference in cost when producing 8 units compared to producing 4 units:
Cost for producing 8 units - Cost for producing 4 units = $209.60 - $204.80 = $4.80
So, the cost per unit is $4.80 / 4 units = $1.20 per unit.
Now that we know the cost per unit, we can calculate the cost of producing 14 units:
Cost for producing 14 units = Number of units * Cost per unit = 14 units * $1.20 per unit = $16.80
Therefore, it will cost $16.80 to produce 14 units.