SOLUTION: A certain electronics manufacturer found that the average cost C to produce x DVD/Blu- ray players can be found using the equation C=0.04x2 squared −4x + 800
. What is the mi
Algebra.Com
Question 1187270: A certain electronics manufacturer found that the average cost C to produce x DVD/Blu- ray players can be found using the equation C=0.04x2 squared −4x + 800
. What is the minimum average cost per machine and how many DVD/Blu-ray players should be built in order to achieve that minimum?
The number of DVD/Blu-ray players that should be build to achieve the minimum is
The minimum average cost is
**Answer both to the nearest whole number.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A certain electronics manufacturer found that the average cost C to produce x DVD/Blu- ray players can be found using the equation:
What is the minimum average cost per machine and how many DVD/Blu-ray players should be built in order to achieve that minimum?
:
Find the axis of symmetry of this quadratic equation using x = -b/(2a)
where a=.04, b=-4
x =
x =
x = 50 units for minimum average cost
:
Find the actual cost then
C = .04(50^2) - 4(50) + 800
C = 100 - 200 + 800
C = $700
RELATED QUESTIONS
A certain electronics manufacturer found that the marginal cost C to produce x... (answered by ikleyn)
A certain manufacturer found that the marginal cost C to produce x DVD/Blu-ray players... (answered by jorel1380)
The electronics firm determines that the total cost, in dollars, of producing x DVD... (answered by josmiceli)
Assume that the mathematical model C(x) = 14x + 180 represents the cost C, in hundreds of (answered by stanbon,greenestamps)
The cost to produce one DVD player is $85 plus a one-time fixed cost of $150,000. The... (answered by nerdybill)
Because of mass production, the cost to produce a certain DVD varies inversely as the... (answered by ewatrrr)
Brian runs a factory that makes Blu-ray players. Each S100 takes 6 ounces of plastic and... (answered by ikleyn)
Evan runs a factory that makes Blu-ray players. Each T50 takes 4 ounces of plastic and 4... (answered by ikleyn)
Caleb runs a factory that makes Blu-ray players. Each R80 takes 8 ounces of plastic and 2 (answered by ikleyn)