Answer:
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