Essentials of Business Analytics (MindTap Course List)
2nd Edition
ISBN: 9781305627734
Author: Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher: Cengage Learning
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Chapter 11, Problem 16P
Consider the following network representation of a transportation problem:
The supplies, demands, and transportation costs per unit are shown on the network. What is the optimal (cost minimizing) distribution plan?
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A farmer has recently acquired a 110 hectares piece of land. He has decided to grow Wheat and barley on that land. Due to the quality of the sun and the region’s excellent climate, the entire production of Wheat and Barley can be sold. He wants to know how to plant each variety in the 110 hectares, given the costs, net profits, and labor requirements according to the data shown below:
Variety
Cost (Price/Hec)
Net Profit (Price/Hec)
Man-days/Hec
Wheat
100
50
10
Barley
200
120
30
The farmer has a budget of US$10,000 and an availability of 1,200 man-days during the planning horizon. Find the optimal solution and the optimal value.
A farmer has recently acquired a 110 hectares piece of land. He has decided to grow
Wheat and barley on that land. Due to the quality of the sun and the region's
excellent climate, the entire production of Wheat and Barley can be sold. He wants
to know how to plant each variety in the 110 hectares, given the costs, net profits and
labor requirements according to the data shown below:
Variety
Cost (Price/Hec)
Net Profit (Price/Hec)
Man-days/Hec
Wheat
100
50
10
Barley
200
120
30
The farmer has a budget of US$10,000 and an availability of 1,200 man-days during
the planning horizon. In addition, the farmer would like to get a profit of at least $3000.
Generate the mathematical model for the optimal usage of land area to produce
wheat and barley. Using graphical method to optimize land usage, how many
hectares are to be used for wheat and barley.
a. How many buses and vans should be rented to minimize cost?
b. What are the minimal costs?
Chapter 11 Solutions
Essentials of Business Analytics (MindTap Course List)
Ch. 11 - Kelson Sporting Equipment, Inc., makes two types...Ch. 11 - The Sea Wharf Restaurant would like to determine...Ch. 11 - Blair Rosen. Inc. (BR) is a brokerage firm that...Ch. 11 - Round Tree Manor is a hotel that provides two...Ch. 11 - Industrial Designs has been awarded a contract to...Ch. 11 - Vollmer Manufacturing makes three components for...Ch. 11 - Photon Technologies, Inc., a manufacturer of...Ch. 11 - The Westchester Chamber of Commerce periodically...Ch. 11 - The management of Hartman Company is trying to...Ch. 11 - The employee credit union at State University is...
Ch. 11 - The Atlantic Seafood Company (ASC) is a buyer and...Ch. 11 - The Silver Star Bicycle Company will manufacture...Ch. 11 - The Clark County Sheriff’s Department schedules...Ch. 11 - Bay Oil produces two types of fuel (regular and...Ch. 11 - Consider the following network representation of a...Ch. 11 - Refer to the transportation problem described in...Ch. 11 - Aggie Power Generation supplies electrical power...Ch. 11 - The Calhoun Textile Mill is in the process of...Ch. 11 - Refer to the Calhoun Textile Mill production...
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- Model the following decision-making situation as a linear program. A company makes a blend consisting of two chemicals, 1 and 2, in the ratio 5:2 by weight. These chemicals can be manufactured by three different processes using two different raw materials and a fuel. Production data are given in the table below. For how much time should each process be run in order to maximize the total amount of the blend manufactured? Requirements per unit time Output per unit time Fuel Chem 1 (units) Raw 1 Raw 2 Chem 2 (units) (units) (units) (units) 6. Process 1 9. 5 50 2 6 75 7 10 4 11 100 10 Available 200 400 1850 (a) Clearly define the decision variables. (b) Write the objective function. (c) Write the constraints.arrow_forwarda. Find the number of bicycles that must be manufactured to minimize the cost. b. Find the minimum cost.arrow_forwardA farmer has recently acquired a 110 hectares piece of land. He has decided to grow Wheat and barley on that land. Due to the quality of the sun and the region’s excellent climate, the entire production of Wheat and Barley can be sold. He wants to know how to plant each variety in the 110 hectares, given the costs, net profits and labor requirements according to the data shown below: Variety Wheat Cost (price/hec) 100 Net Profit (Price/hec) 50 Man-days/Hecs 10 Barley 200 120 30 The farmer has a budget of US$10,000 and an availability of 1,200 man-days during the planning horizon. In addition, the farmer would like to get a profit of at least $3000. Generate the mathematical model for the optimal usage of land area to produce wheat and barley. Using graphical method to optimize land usage, how many hectares are to be used for wheat and barley.arrow_forward
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