MindTap Business Statistics for Ragsdale's Spreadsheet Modeling & Decision Analysis, 8th Edition, [Instant Access], 2 terms (12 months)
8th Edition
ISBN: 9781337274876
Author: Cliff Ragsdale
Publisher: Cengage Learning US
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Trips Logistics, a third-party logistics firm that provides warehousing and other logistics services, is facing a decision regarding the amount of space to lease for the upcoming three-year period. The general manager has forecast that Trips Logistics will need to handle a demand of 100,000 units for each of the next three years. Historically, Trips Logistics has required 1,000 square feet of warehouse space for every 1,000 units of demand. For the purposes of this discussion, the only cost Trips Logistics faces is the cost for the warehouse. Trips Logistics receives revenue of $1.22 for each unit of demand. The general manager must decide whether to sign a three-year lease or obtain warehousing space on the spot market each year. The three-year lease will cost $1 per square foot per year, and the spot market rate is expected to be $1.20 per square foot per year for each of the three years. Trips Logistics has a discount rate of k = 0.1.
The Seaside Hotel is a three-star hotel in Newquay, Cornwall. It contains 108 rooms and employs 30 fulltime and 40 parttime personnel. Between May and August, the hotel's workforce is nearly doubled by casual and temporary workers. Cornwall is a difficult place to do business, especially in the tourism industry. Business is highly seasonal with hotels experiencing very low occupancy during the offseason and many hotels choose not to operate during this time. The Seaside Hotel operates all year round by supplementing its tourism trade during the off-season by offering discounted conferencing facilities for local businesses and as a cheap base for corporate events and activities, such as team building weekends. Tourism is, however, vitally important for the region and its businesses and provides a significant proportion of all jobs in the South West. Cornwall can, however, be a difficult place in which to work. For instance, Newquay – Cornwall’s most popular holiday destination – is one…
Round Tree Manor is a hotel that provides two types of rooms with three rental classes: Super Saver, Deluxe, and Business. The profit per night for each type of room and rental class is as follows:
Rental
Class
Super Saver
Deluxe
Business
Room
Type I
$30
$35
—
Type II
$20
$30
$40
Type I rooms do not have high-speed Internet access and are not available for the Business rental class.
Round Tree's management makes a forecast of the demand by rental class for each night in the future. A linear programming model developed to maximize profit is used to determine how many reservations to accept for each rental class. The demand forecast for a particular night is 160 rentals in the Super Saver class, 50 rentals in the Deluxe class, and 40 rentals in the Business class. Round Tree has 100 Type I rooms and 120 Type II rooms.
1. **Use linear programming to determine how many reservations to accept in each rental class and how the…
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