7. A wireless carrier offers the following plans. The Family Plan: $90 monthly fee, unlimited talk and text on up to 8 lines, and data charges of $40 per line for up to 2 GB of data per device. • The Mobile Share Plan: $120 monthly fee, unlimited talk and text on up to 10 lines, and data charges of $35 per line for up to 10 GB of shared data. (a) (b) (c) Construct a model for the total cost of the Family Plan. Define any variables used, and include any restrictions on those variables. Construct a model for the total cost of the Mobile Share Plan. Define any variables used, and include any restrictions on those variables. If a family has 3 smart phones, which plan should they choose? Explain your reasoning.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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7. A wireless carrier offers the following plans.
The Family Plan: $90 monthly fee, unlimited talk and text on up to 8 lines, and data charges of $40
per line for up to 2 GB of data per device.
• The Mobile Share Plan: $120 monthly fee, unlimited talk and text on up to 10 lines, and data charges
of $35 per line for up to 10 GB of shared data.
(a)
(b)
(c)
(d)
Construct a model for the total cost of the Family Plan. Define any variables used,
and include any restrictions on those variables.
Construct a model for the total cost of the Mobile Share Plan. Define any variables
used, and include any restrictions on those variables.
If a family has 3 smart phones, which plan should they choose? Explain your reasoning.
If a family has 6 smart phones, which plan should they choose? Explain your reasoning.
Transcribed Image Text:7. A wireless carrier offers the following plans. The Family Plan: $90 monthly fee, unlimited talk and text on up to 8 lines, and data charges of $40 per line for up to 2 GB of data per device. • The Mobile Share Plan: $120 monthly fee, unlimited talk and text on up to 10 lines, and data charges of $35 per line for up to 10 GB of shared data. (a) (b) (c) (d) Construct a model for the total cost of the Family Plan. Define any variables used, and include any restrictions on those variables. Construct a model for the total cost of the Mobile Share Plan. Define any variables used, and include any restrictions on those variables. If a family has 3 smart phones, which plan should they choose? Explain your reasoning. If a family has 6 smart phones, which plan should they choose? Explain your reasoning.
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