Math equation word problem

Question

A medical equipment industry manufactures X-ray machines. The unit cost C (the cost in dollars to make each X-ray machine) depends on the number of machines made. If machines are made, then the unit cost is given by the function 𝐶(𝑥) = 0.4𝑥2 − 224𝑥 + 46,529. What is the minimum unit cost? Do not round your answer.

Answer 1

-b/2a = -(-224)/(2(0.4)) = 224/0.8 = 280

 

$280