Wholesale Building Materials (WBM) plans to enter the Florida market next fiscal year. The company has already decided on a product line to introduce to the FL market. WBM’s plan is to serve FL from a DC located in Houston, TX. As an initial market entrance strategy, WBM has signed a vendor-managed inventory (VMI) contract with a company in FL. According to the contract, WBM needs to bring 7% of the total demand during each inventory replenishment cycle (i.e., shipment size is 7% of the total demand) in addition, an amount equal to the replenishment quantity will be kept as the average inventory in Houston against contingencies. The expected demand in the market will be a function of the time responsiveness of WBM. The demand function is defined as follows: Where D is demand per year in terms of normalized units and T (in days) is the response time for a certain mode of transportation. The cost of each product is $100 in TX, the inventory holding rate per unit per year is 24%, transportation cost is paid to the transportation company after items are delivered to FL, and the sales price of each item in FL is 250 (assume all units brought to FL will be sold). Find what mode of transportation should be chosen to maximize the company’s first-year profit. (Use two decimal place accuracy for cost [e.g., 0.12] and round shipment quantity to the nearest integer)

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

See similar textbooks

Related questions

Question

Wholesale Building Materials (WBM) plans to enter the Florida market next fiscal year. The company has already decided on a product line to introduce to the FL market. WBM’s plan is to serve FL from a DC located in Houston, TX. As an initial market entrance strategy, WBM has signed a vendor-managed inventory (VMI) contract with a company in FL. According to the contract, WBM needs to bring 7% of the total demand during each inventory replenishment cycle (i.e., shipment size is 7% of the total demand) in addition, an amount equal to the replenishment quantity will be kept as the average inventory in Houston against contingencies. The expected demand in the market will be a function of the time responsiveness of WBM. The demand function is defined as follows: Where D is demand per year in terms of normalized units and T (in days) is the response time for a certain mode of transportation. The cost of each product is $100 in TX, the inventory holding rate per unit per year is 24%, transportation cost is paid to the transportation company after items are delivered to FL, and the sales price of each item in FL is 250 (assume all units brought to FL will be sold). Find what mode of transportation should be chosen to maximize the company’s first-year profit. (Use two decimal place accuracy for cost [e.g., 0.12] and round shipment quantity to the nearest integer)