A furniture company manufactures tables and chairs. A table requires 45 board-feet of wood, and a chair requires 20 board-feet of wood. Wood can be purchased at a cost of $1.90 per board-foot, and 25,000 board-feet of wood are available for purchase. It takes 2.5 hours of skilled labor to manufacture an unfinished table or an unfinished chair. Then 3 more hours of skilled labor will turn an unfinished table into a finished table, and 1.5 more hours of skilled labor will turn an unfinished chair into a finished chair. A total of 4500 hours of skilled labor is available (and have already been paid for). All furniture produced can be sold at the following unit prices: an unfinished table, $180; a finished table, $330; an unfinished chair, $130; and a finished chair, $200. a. Determine how to maximize the company's profit from manufacturing tables and chairs. using Excel solver

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter3: Introduction To Optimization Modeling
Section: Chapter Questions
Problem 32P
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A furniture company manufactures tables and chairs.

A table requires

45 board-feet of wood, and a chair requires

20 board-feet of wood. Wood can be

purchased at a cost of $1.90 per board-foot, and 25,000

board-feet of wood are available for purchase. It takes

2.5 hours of skilled labor to manufacture an unfinished

table or an unfinished chair. Then 3 more hours of

skilled labor will turn an unfinished table into a finished

table, and 1.5 more hours of skilled labor will

turn an unfinished chair into a finished chair. A total of 4500 hours of skilled labor is available (and have already

been paid for). All furniture

produced can be sold

at the following

unit prices: an unfinished table, $180;

a finished

table, $330; an unfinished chair, $130; and a

finished

chair, $200.

a. Determine how to maximize the company's profit

from manufacturing tables and chairs.

using Excel solver

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