Applications of quadratics. Jeans

Question

A manufacture of brand A jeans has a daily production costs of

C= 0.3x^{2 _} 120x + 12,575 where C is the total cost (in dollars) and x is the  Number of jeans produced. How many jeans should be produced each day in order to minimize costs? What is the minimum daily cost? 

The manufature should produce ___ jeans each day to minimize costs 

Answer 1

Use the formula

 

h = -b / (2a)

 

where:

a = 0.3

b = -120

 

to find the number of jeans to produce minimal cost.   Then evaluate C when x=h to find the minimal cost.