A furniture company produces tables, chairs and benches, and sells these separately or in sets. For a table they need 12 units wood and 3 units metal. For a bench it is 6 units wood, 2 units metal and 5 units fabric. A chair is made from 2 units wood, 1 unit metal and 2 units fabric. Two types of sets are composed: set A consists of a table and four chairs, and set B contains a table, three chairs and a bench. a) Find the production matrix M that is used to calculate the necessary amounts of wood, metal and fabric to produce x tables, y chairs and z benches. b) Find the production matrix P that is used to calculate the necessary amounts of wood, metal and fabric to produce m sets of type A and n sets of type B. c) An order is for 40 sets of type A, 60 sets of type B and 10 (extra) benches. How many units of wood, metal and fabric are needed for this order?

A furniture company produces tables, chairs and benches, and sells these separately or in sets. For a table they need 12 units wood and 3 units metal. For a bench it is 6 units wood, 2 units metal and 5 units fabric. A chair is made from 2 units wood, 1 unit metal and 2 units fabric. Two types of sets are composed: set A consists of a table and four chairs, and set B contains a table, three chairs and a bench. a) Find the production matrix M that is used to calculate the necessary amounts of wood, metal and fabric to produce x tables, y chairs and z benches. b) Find the production matrix P that is used to calculate the necessary amounts of wood, metal and fabric to produce m sets of type A and n sets of type B. c) An order is for 40 sets of type A, 60 sets of type B and 10 (extra) benches. How many units of wood, metal and fabric are needed for this order?

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 3EQ: A florist offers three sizes of flower arrangements containing roses, daisies, and chrysanthemums....

See similar textbooks