tables and chests. Producing a chair requires 2 hours of construction and 1 hour of painting. Producing a table requires 4 hours of construction and 3 hours of painting. Producing a chest requires 8
A furniture factory makes and sells chairs, tables and chests. Producing a chair requires 2 hours of
construction and 1 hour of painting. Producing a table requires 4 hours of construction and 3 hours
of painting. Producing a chest requires 8 hours of construction and 6 hours of painting. In a typical
week there are 280 labor hours available for construction and 178 hours for painting. Due to market
demand the company always produces four times as many chairs as tables. If all available time is
used in every department, how many of each item are produced during a typical week?
a. Define the variables and build a system of equation for this problem.
b. Show how to use the INVERSE to solve this system of equations.
c. If the factory decided to produce 88 chairs, 22 tables and 32 chests how many hours would be
needed for construction and painting. Show how matrix algebra can be used to answer this
question..
d. If there were C hours for construction and P hours for painting, report a formula for how many
chairs, tables and chests can be product in terms of C and P. Hint: Use the inverse.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
