d. No more than 4000 units can be shipped from Kansas City, and no more than 3000 units can be shipped from Minneapolis in a month. Develop constraints to model this situation. e. Of course, negative amounts cannot be shipped. Combine the objective function and constraints developed to state a mathematical model for satisfying the demand at the Des Moines retail store at minimum cost.
d. No more than 4000 units can be shipped from Kansas City, and no more than 3000 units can be shipped from Minneapolis in a month. Develop constraints to model this situation. e. Of course, negative amounts cannot be shipped. Combine the objective function and constraints developed to state a mathematical model for satisfying the demand at the Des Moines retail store at minimum cost.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Kindly, only answer the 10 (d,e)

Transcribed Image Text:10. A retail store in Des Moines, Iowa, receives shipments of a particular product from Kansas
City and Minneapolis. Let
x = number of units of the product received from Kansas City
y = number of units of the product received from Minneapolis
a. Write an expression for the total number of units of the product received by the retail
store in Des Moines.
b. Shipments from Kansas City cost $0.20 per unit, and shipments from Minneapolis
cost $0.25 per unit. Develop an objective function representing the total cost of ship-
ments to Des Moines.
c. Assuming the monthly demand at the retail store is 5000 units, develop a constraint
that requires 5000 units to be shipped to Des Moines.
d. No more than 4000 units can be shipped from Kansas City, and no more than 3000
units can be shipped from Minneapolis in a month. Develop constraints to model this
situation.
e. Of course, negative amounts cannot be shipped. Combine the objective function and
constraints developed to state a mathematical model for satisfying the demand at the
Des Moines retail store at minimum cost.
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