A Carpenter Makes Tables and Chairs

question 16

Essay

A carpenter makes tables and chairs.Each table can be sold for a profit of $50 and each chair for a profit of $30.The carpenter works a maximum of 40 hours per week and spends 5 hours to make a table and 2 hours to make a chair.Customer demand requires that he makes at least twice as many chairs as tables.The carpenter stores the finished products in his garage,and there is room for a maximum of 6 furniture pieces each week.Determine the carpenter's optimal production mix.

---

Definitions:

Computing

The process or practice of utilizing computer technology to complete a task or solve a problem, involving both hardware and software components.

Customers

Individuals or businesses that purchase goods or services from a company.

FCFS System

First-Come, First-Served System, a processing sequence where the first item to arrive is the first to be processed, commonly used in queue management and scheduling.

Arrival Rate

In queuing theory, it is the average rate at which entities (e.g., customers, data packets) arrive at a service facility within a given time period.