A company manufactures two products (1 and 2). Each unit of product 1 can be sold for $15, and each unit of product 2 for $25. Each product requires raw material and two types of labor (skilled and unskilled) (see the table below). Currently, the company has available 100 hours of skilled labor, 70 hours of unskilled labor, and 30 units of raw material. Because of marketing considerations, at least 3 units of product 2 must be produced. How much would the company be willing to pay for an additional unit of each type of labor? How much would it be willing to pay for an extra unit of raw material? Product

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 27EQ
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A company manufactures two products (1 and 2). Each unit of product 1 can be sold for $15, and
each unit of product 2 for $25. Each product requires raw material and two types of labor (skilled
and unskilled) (see the table below). Currently, the company has available 100 hours of skilled
labor, 70 hours of unskilled labor, and 30 units of raw material. Because of marketing
considerations, at least 3 units of product 2 must be produced.
A
How much would the company be willing to pay for an additional unit of each type of labor? How
much would it be willing to pay for an extra unit of raw material?
Product
Resource
1
2
Skilled labor (hours)
Unskilled labor (hours)
Raw material (units)
4
3
1
2
Transcribed Image Text:A company manufactures two products (1 and 2). Each unit of product 1 can be sold for $15, and each unit of product 2 for $25. Each product requires raw material and two types of labor (skilled and unskilled) (see the table below). Currently, the company has available 100 hours of skilled labor, 70 hours of unskilled labor, and 30 units of raw material. Because of marketing considerations, at least 3 units of product 2 must be produced. A How much would the company be willing to pay for an additional unit of each type of labor? How much would it be willing to pay for an extra unit of raw material? Product Resource 1 2 Skilled labor (hours) Unskilled labor (hours) Raw material (units) 4 3 1 2
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