Answer:
the function that models the total inventory costs as a function of x is;
$( [tex]\frac{112500}{x}[/tex] + ([tex]\frac{3}{2}[/tex])x )
Step-by-step explanation:
Given the data in the question;
cost of storing the shoes ( Holding cost ) = $ 3 per year
ordering cost ( Co ) fixed = $ 25 per order
cost of each pair = $ 5 per shoe pair
Total demand = 4500 shoe pairs
Total Inventory cost = Holding cost Ordering cost
so
Total Inventory cost = [tex]\frac{4500}{x}[/tex]( $ 25) + [tex]\frac{1}{2}[/tex]× $3 × x
Total Inventory cost = $( [tex]\frac{4500*25}{x}[/tex] + ([tex]\frac{3}{2}[/tex])x )
Total Inventory cost = $( [tex]\frac{112500}{x}[/tex] + ([tex]\frac{3}{2}[/tex])x )
Therefore, the function that models the total inventory costs as a function of x is; $( [tex]\frac{112500}{x}[/tex] + ([tex]\frac{3}{2}[/tex])x )
