nook4boo
07.12.2020 •
Mathematics
Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x)=0.5x^2-1.5x+4.83 , where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bicycle?
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Ответ:
maximum of 2 bicycle
Step-by-step explanation:
Given the average cost per bicycle modeled by the equation
C(x) = 0.5x^2-1.5x+4.83
C(x) is in hundreds of dollars
x is number of bicycle
The number of bicycle that will minimize the cost occurs when dC/dx = 0
dC/dx = 2(0.5)x - 1.5
dC/dx = x - 1.5
Since dC/dx = 0
0 = x - 1.5
x = 0+1.5x = 1.5
Hence the shop should buy maximum of 2 bicycle to minimize the cost
Ответ:
Step-by-step explanation:
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