Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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Chapter 5, Problem 58P
a)
Summary Introduction
To determine: The way to minimize the cost of meeting the demand.
Introduction: In linear programming, the unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints, then it is said to be unfeasible solution.
b)
Summary Introduction
To determine: Why computers are shipping through City C.
Introduction: In linear programming,the unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints, then it is said to be unfeasible solution.
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A fertilizer manufacturer has to fulfill supply contracts to its two main customers (650 tons to Customer A and 800 tons to Customer B). It can meet this demand by shipping existing inventory from any of its three warehouses. Warehouse 1
has 400 tons of inventory onhand, Warehouse 2 (W2) has 500 tons, and Warehouse 3 (W3) has 600 tons. The company would like to arrange the shipping for the lowest cost possible, where the per-ton transit costs are as follows:
W 1
W 2
W 3
$7.50
$6.75
$6.25
$7.00
$6.50
$8.00
Customer A
Customer B
Write the objective function and the constraint in equations. Let V;= tons shipped to customer i from warehouse j, and so on. For example, VA1 = tons shipped to customer A from warehouse W1.
This exercise contains only parts b, c, d, e, and f.
b) The objective function for the LP model =
Minimize Z =
$7.50
+ $6.25
+ $6.50
(shipping cost to customer A)
V +
$6.75
+ $7.00
+ $8.00
(shipping cost to customer B)
c) Subject to:
Customer A's demand
Customer B's demand…
Create spreadsheets and use Solver to determine the correct volumes to be produced to minimize cost for the following problem. Your company has two trucks that it wishes to use on a specific contract. One is a new truck the company is making payments on, and one is an old truck that is fully paid for. The new truck’s costs per mile are as follows: 54₵ (fuel/additives), 24₵ (truck payments), 36₵ (driver), 12₵ (repairs), and 1₵ (misc.). The old truck’s costs are 60₵ (fuel/additives), 0₵ (truck payments), 32₵ (rookie driver), 24₵ (repairs), and 1₵ (misc.). The company knows that truck breakdowns lose customers, so it has capped estimated repair costs at $14,000. The total distance involved is 90,000 miles (to be divided between the two trucks).
a mixed integer linear programming question
Chapter 5 Solutions
Practical Management Science
Ch. 5.2 - Prob. 1PCh. 5.2 - Prob. 2PCh. 5.2 - Prob. 3PCh. 5.2 - Prob. 4PCh. 5.2 - Prob. 5PCh. 5.2 - Prob. 6PCh. 5.2 - Prob. 7PCh. 5.2 - Prob. 8PCh. 5.2 - Prob. 9PCh. 5.3 - Prob. 10P
Ch. 5.3 - Prob. 11PCh. 5.3 - Prob. 12PCh. 5.3 - Prob. 13PCh. 5.3 - Prob. 14PCh. 5.3 - Prob. 15PCh. 5.3 - Prob. 16PCh. 5.3 - Prob. 17PCh. 5.3 - Prob. 18PCh. 5.4 - Prob. 19PCh. 5.4 - Prob. 20PCh. 5.4 - Prob. 21PCh. 5.4 - Prob. 22PCh. 5.4 - Prob. 23PCh. 5.4 - Prob. 24PCh. 5.4 - Prob. 25PCh. 5.4 - Prob. 26PCh. 5.4 - Prob. 27PCh. 5.4 - Prob. 28PCh. 5.4 - Prob. 29PCh. 5.5 - Prob. 30PCh. 5.5 - Prob. 31PCh. 5.5 - Prob. 32PCh. 5.5 - Prob. 33PCh. 5.5 - Prob. 34PCh. 5.5 - Prob. 35PCh. 5.5 - Prob. 36PCh. 5.5 - Prob. 37PCh. 5.5 - Prob. 38PCh. 5 - Prob. 42PCh. 5 - Prob. 43PCh. 5 - Prob. 44PCh. 5 - Prob. 45PCh. 5 - Prob. 46PCh. 5 - Prob. 47PCh. 5 - Prob. 48PCh. 5 - Prob. 49PCh. 5 - Prob. 50PCh. 5 - Prob. 51PCh. 5 - Prob. 52PCh. 5 - Prob. 53PCh. 5 - Prob. 54PCh. 5 - Prob. 55PCh. 5 - Prob. 56PCh. 5 - Prob. 57PCh. 5 - Prob. 58PCh. 5 - Prob. 59PCh. 5 - Prob. 60PCh. 5 - Prob. 61PCh. 5 - Prob. 62PCh. 5 - Prob. 63PCh. 5 - Prob. 64PCh. 5 - Prob. 65PCh. 5 - Prob. 66PCh. 5 - Prob. 67PCh. 5 - Prob. 68PCh. 5 - Prob. 69PCh. 5 - Prob. 70PCh. 5 - Prob. 71PCh. 5 - Prob. 72PCh. 5 - Prob. 73PCh. 5 - Prob. 74PCh. 5 - Prob. 75PCh. 5 - Prob. 76PCh. 5 - Prob. 77PCh. 5 - Prob. 80PCh. 5 - Prob. 81PCh. 5 - Prob. 82PCh. 5 - Prob. 83PCh. 5 - Prob. 85PCh. 5 - Prob. 86PCh. 5 - Prob. 87PCh. 5 - Prob. 1C
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