Question

Job Offers You are considering two job offers. The first job pays $\$ 3000$ per month. The second job pays $\$ 1000$ per month plus a commission of $4 \%$ of your gross sales. How much must you earn in gross sales for the second job to pay more per month than the first job?

Name: Problem 98, Chapter 1: College Algebra
Uploaded: 2021-01-07T05:53:20-08:00
Duration: 2 min 59 s
Channel: Suman Saurav Thakur
Description: Job Offers You are considering two job offers. The first job pays 3000 per month. The second job pays 1000 per month plus a commission of 4 % of your gross sales. How much must you earn in gross sales for the second job to pay more per month than the first job?

   Job Offers You are considering two job offers. The first job pays $\$ 3000$ per month. The second job pays $\$ 1000$ per month plus a commission of $4 \%$ of your gross sales. How much must you earn in gross sales for the second job to pay more per month than the first job?

College Algebra

Ron Larson 9th Edition

Chapter 1, Problem 98

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Solved by Expert Suman Saurav Thakur

01/07/2021

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The first job pays $3000 per month, and the second job pays $1000 per month plus a commission of 4% of your gross sales. We want to find out how much you must earn in gross sales for the second job to pay more per month than the first job. So, we can write this Show more…

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Job Offers You are considering two job offers. The first job pays $\$ 3000$ per month. The second job pays $\$ 1000$ per month plus a commission of $4 \%$ of your gross sales. How much must you earn in gross sales for the second job to pay more per month than the first job?

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Key Concepts

Linear Equations and Inequalities

These are mathematical models that represent relationships between different quantities. In many scenarios, such models are used to compare two options by setting up an inequality, allowing us to determine the range of values for which one option exceeds another.

Commission and Incentive Structures

This concept involves compensation systems where earnings are partly based on performance, such as receiving a percentage of sales. Understanding commission structures is key to analyzing job offers that include both a fixed salary and a performance-based bonus.

Break-even Analysis

Break-even analysis is a method used to determine the point at which two different compensation schemes become equal. It helps assess how much performance (e.g., gross sales) is needed for one option to become more financially rewarding than another.

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