A manufacturer of tennis b***s has a daily cost of c(x)=200-10x+0.01x^2 where c is the total cost in dollars and x is the number of tennis b***s produced. What number of tennis ball will produce the minimum?
c(x)=200-10x+0.01x^2
The minimum number will be given by -b/2a where b = -10 and a = 0.01.....so we have
min = -(-10) / (2* 0.01) = 10 / 0.02 = 500 will minimize the cost
Thank you cphill 👍🏿