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Sagot :
Given:
Setup cost of machine 1 = $1400
Unit cost = $0.008
Setup cost for machine 2 = $1850
Unit cost = $0.0015
Let's find the break point.
The break point will be when the total cost for machine 1 equals the total cost for machine 2.
Apply the slope-intercept equation:
y = mx + b
Where b is the setup cost and m is the unit cost.
We have the following:
Equation for machine 1:
y = 0.008x + 1400
Equation for machine 2:
y = 0.0015x + 1850
Now, eliminate the equivalent sides and combine the expressions:
0.008x + 1400 = 0.0015x + 1850
Move all terms containing x to the left.
0.008x - 0.0015x = 1850 - 1400
0.0065x = 450
Divide both sides of the equation by 0.0065:
[tex]\begin{gathered} \frac{0.0065x}{0.0065}=\frac{450}{0.0065} \\ \\ x=69230.76\approx69231 \end{gathered}[/tex]Therefore, the break point is when the number if unit is 69231 units.
ANSWER:
69231
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