1. A microwave oven company has two factories in the east coast and the midwest. It takes 25 hours (including packaging, shipping, etc.) to transport the microwave ovens of each order from the factory on the east coast to the central warehouse, while it takes 20 hours from the factory in the Midwest to the central warehouse. Shipping from the East Coast factory to the central warehouse costs $80 per order, while shipping from the Midwest factory to the central warehouse costs $40. Now there are 1,000 hours available for packaging, shipping, etc., and $3,000 can be used as transportation costs. (a) Try to write a linear inequality system describing this transportation system. (b) Try to draw a graph of the linear inequality system and list the corner points.
1. A microwave oven company has two factories in the east coast and the midwest. It takes 25 hours (including packaging, shipping, etc.) to transport the microwave ovens of each order from the factory on the east coast to the central warehouse, while it takes 20 hours from the factory in the Midwest to the central warehouse. Shipping from the East Coast factory to the central warehouse costs $80 per order, while shipping from the Midwest factory to the central warehouse costs $40. Now there are 1,000 hours available for packaging, shipping, etc., and $3,000 can be used as transportation costs. (a) Try to write a linear inequality system describing this transportation system. (b) Try to draw a graph of the linear inequality system and list the corner points.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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Transcribed Image Text:1. A microwave oven company has two factories in the east coast and
the midwest. It takes 25 hours (including packaging, shipping, etc.) to
transport the microwave ovens of each order from the factory on the
east coast to the central warehouse, while it takes 20 hours from the
factory in the Midwest to the central warehouse. Shipping from the
East Coast factory to the central warehouse costs $80 per order, while
shipping from the Midwest factory to the central warehouse costs
$40. Now there are 1,000 hours available for packaging, shipping, etc.,
and $3,000 can be used as transportation costs.
(a) Try to write a linear inequality system describing this
transportation system.
(b) Try to draw a graph of the linear inequality system and list the
corner points.
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