SOLUTION: A company uses the formula C(x)= 0.02x^2-3.4x + 150 to model the unit cost in dollars for producing x stabilizer bars. For what number of bars is the unit cost at its minimum? What
Algebra.Com
Question 149908: A company uses the formula C(x)= 0.02x^2-3.4x + 150 to model the unit cost in dollars for producing x stabilizer bars. For what number of bars is the unit cost at its minimum? What is the unit cost at that level of production?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A company uses the formula C(x)= 0.02x^2-3.4x + 150 to model the unit cost in dollars for producing x stabilizer bars. For what number of bars is the unit cost at its minimum? What is the unit cost at that level of production?
------------------
C(x)= 0.02x^2-3.4x + 150
To find the minimum, set the 1st derivative to 0
0.04x - 3.4 = 0
Multiply by 100
4x = 340
x = 85
-------
Sub 85 for x in the equation
C(x)= 0.02x^2-3.4x + 150
C(85) = 0.02*85*85 - 3.4*85 + 150
= $583.50
That's the cost of 85 bars.
For one, $583.50/85 = $6.865
RELATED QUESTIONS
can you please help me whith this problem
64. Minimizing cost. A company uses the... (answered by uma)
64. Minimizing cost. A company uses the formula C(x) = 0.02x^2 – 3.4x + 150 to model the... (answered by 303795)
.0Minimizing Cost: A company uses the formula: c(x) = 0.02x^2 - 3.4x + 150 to model the... (answered by edjones)
A company uses the formula C(x)= 0.02x^2+3.4x+150 to model the unit cost in dollars for... (answered by stanbon)
Minimizing Cost. A company uses the formula C(x)= 0.02x² -3.4x +150 to model the unit... (answered by checkley71)
Minimizing cost.
A company uses the formula C(x)=0.02x2-3.4x+150 to model the unit... (answered by stanbon)
Minimizing cost. A company uses the formula C(x) = 0.02x² - 3.4x + 150 to model the unit... (answered by nerdybill)
Minimizing cost. A company uses the formula C(x) = 0.02x² - 3.4x + 150 to model the unit... (answered by edjones)
A company uses the formula C(x) = 0.02x2 – 3.4x + 150 to model the unit cost in dollars... (answered by funmath)