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.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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.
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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