11, 2022
1) Answer the questions below for the following situation:
A manufacturer must decide how many chairs and tables to produce in a given week. It takes 2 hours to
construct a chair and 3 hours to construct a table. The finishing process requires 2 hours for each chair and 2
hours for each table. There are 36 work hours available for construction and 28 work hours available for
finishing. If the profit is $15 per chair and $25 per table, how many of each should be produced to maximize
profit?
a. Translate the constraints into a system of inequalities.
b. Graph the system and label the vertices of the feasible set.
c. Apply the Linear Programming Theorem and interpret the results.
2) Answer the questions below for the following situation: