# Cell Phone Problem

Maria was thinking about the production of cell phones at her manufacturing plant. The phones with the most features take 4 hours to produce, and the phones with the least features take 2 hours. She has 80 hours of labor that she can spare for production each week and the plant has the capacity for producing no more than 25 phones.

In the graph below, the orange line represents the combination of phones with the most features (called Hi-end) and the phones with the least features (called No-frills) that meet the 25 phone limit. The green line represents the combination of the two types of phones that use 80 hours of labor. In studying the graph, what can you say about each of the labelled regions? Graph is created using Desmos.com.

In particular, look at the number of hi-end and no-frills phones produced in each region and calculate the number of production hours that combination would require. Then compare this information with the constraints identified in the problem.

Cell phone graph regions described