Inventory Control

Jesaki Publishing sells $50,000$ copies of a certain book each year. It costs the company $$1$ to

store a book for one year. Each time that they print additional copies, it costs the company

$$1,000$ to set up the presses.

NOTE: We assume that the demand is uniform.

Let

$x=$ number of books printed during each printing run

$y=$ number of printing runs

Use this information to answer questions $13-23$ below.

Question $13$

Use the Inventory Control information above to answer this question.

The total setup cost for the year is

y$.$

Question $14$

Use the Inventory Control information above to answer this question.

Since we assume the demand is uniform, the number of books in storage between printing

runs will decrease from $x$ to

Question $15$

Use the Inventory Control information above to answer this question.

Since it costs $$1$ to store a book for one year, the total storage cost is

x$.$

Note: The average number in storage for each day is $\frac{x}{2}.$

Enter your answer as a decimal.

Question $16$

Use the Inventory Control information above to answer this question.

The total cost is the sum of the setup cost and storage cost, so

$C=,H$