You have just been hired to manage inventory for a sock company, "Sock-um." The company seems to be running out of inventory space. On day one of your job, you have been asked to determine average daily inventory. Every Monday, Sock-um receives a shipment of 500 cases of socks. Sock-um sells socks to retail outlets along the East Coast at a rate of 90 cases per day during each of the 5 business days (Monday through Friday). In your memo, please provide a model that represents daily inventory and provide your answer of average daily inventory. In your worksheets, demonstrate your knowledge of integrals and show how you can double check your answer through manual calculations. Sock-um has an annual contractual obligation with its manufacturer to receive 500 cases weekly, and breaking the contract would cost them $8000. Once inventory has reached 500 cases, Sock- um will run out of space. Currently, additional shelf space for 500 cases is $1000. A pair of socks costs $1 to manufacturer, and each pair sells for $4. There are 100 pair of socks in a case of socks. Sock-um has the possibility of expanding its reach to midwestern states by providing up to 20 cases per day. To do this, they will incur a one-time cost of $6000. Provide a marketing recommendation to Sock-um regarding the inventory constraints, contractual obligations, and sale opportunities in the Midwest.

Principles of Economics 2e
2nd Edition
ISBN:9781947172364
Author:Steven A. Greenlaw; David Shapiro
Publisher:Steven A. Greenlaw; David Shapiro
Chapter22: Inflation
Section: Chapter Questions
Problem 28CTQ: Why do you mink the U.S. experience with inflation over the last 50 years has been so much milder...
icon
Related questions
Question
1
Economics
You have just been hired to manage inventory for a sock company, "Sock-um." The company
seems to be running out of inventory space. On day one of your job, you have been asked to
determine average daily inventory. Every Monday, Sock-um receives a shipment of 500 cases of
socks. Sock-um sells socks to retail outlets along the East Coast at a rate of 90 cases per day
during each of the 5 business days (Monday through Friday). In your memo, please provide a
model that represents daily inventory and provide your answer of average daily inventory. In
your worksheets, demonstrate your knowledge of integrals and show how you can double check
your answer through manual calculations.
Sock-um has an annual contractual obligation with its manufacturer to receive 500 cases weekly,
and breaking the contract would cost them $8000. Once inventory has reached 500 cases, Sock-
um will run out of space. Currently, additional shelf space for 500 cases is $1000. A pair of
socks costs $1 to manufacturer, and each pair sells for $4. There are 100 pair of socks in a case
of socks. Sock-um has the possibility of expanding its reach to midwestern states by providing
up to 20 cases per day. To do this, they will incur a one-time cost of $6000. Provide a marketing
recommendation to Sock-um regarding the inventory constraints, contractual obligations, and
sale opportunities in the Midwest.
Transcribed Image Text:Economics You have just been hired to manage inventory for a sock company, "Sock-um." The company seems to be running out of inventory space. On day one of your job, you have been asked to determine average daily inventory. Every Monday, Sock-um receives a shipment of 500 cases of socks. Sock-um sells socks to retail outlets along the East Coast at a rate of 90 cases per day during each of the 5 business days (Monday through Friday). In your memo, please provide a model that represents daily inventory and provide your answer of average daily inventory. In your worksheets, demonstrate your knowledge of integrals and show how you can double check your answer through manual calculations. Sock-um has an annual contractual obligation with its manufacturer to receive 500 cases weekly, and breaking the contract would cost them $8000. Once inventory has reached 500 cases, Sock- um will run out of space. Currently, additional shelf space for 500 cases is $1000. A pair of socks costs $1 to manufacturer, and each pair sells for $4. There are 100 pair of socks in a case of socks. Sock-um has the possibility of expanding its reach to midwestern states by providing up to 20 cases per day. To do this, they will incur a one-time cost of $6000. Provide a marketing recommendation to Sock-um regarding the inventory constraints, contractual obligations, and sale opportunities in the Midwest.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Multiplicative Exponential demand Model
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Principles of Economics 2e
Principles of Economics 2e
Economics
ISBN:
9781947172364
Author:
Steven A. Greenlaw; David Shapiro
Publisher:
OpenStax