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Choosing the best Sales Job you are offered two different furniture sales jobs. The Furniture Bam offers you a job that pays straight commission of 75 of the sales. The Furniture Warehouse offers you a job that pays a salary of \( \$ 220 \) per weuk plus \( 2 \% \) of the sales. How much would you have to sell in a week in order for the job at The Furniture Barn to pay as well or better than the job at The Fumiture Warehouse? Round the answer to the nearest cont The Furniture Barn pays better than The Furniture Warehouse if nyy sales are at least \( \$ \)

Ask by Hall Moreno. in the United States
Mar 10,2025

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You need to sell at least \$301.37 in a week for the Furniture Barn to pay as well or better than the Furniture Warehouse.

Solución

Let \( x \) represent the dollar amount of sales in one week. For the Furniture Barn (which pays straight commission of \(75\%\) of sales), the weekly pay is \[ 0.75x \] For the Furniture Warehouse (which pays a salary of \( \$220 \) per week plus \(2\%\) of sales), the weekly pay is \[ 220 + 0.02x \] To find the sales amount for which the Furniture Barn pays as much or more than the Furniture Warehouse, we set up the inequality: \[ 0.75x \ge 220 + 0.02x \] Subtract \(0.02x\) from both sides to isolate \(x\): \[ 0.75x - 0.02x \ge 220 \quad \Longrightarrow \quad 0.73x \ge 220 \] Now, solve for \(x\): \[ x \ge \frac{220}{0.73} \approx 301.37 \] Thus, you would have to sell at least \(\$301.37\) in a week for the Furniture Barn’s pay to be as good as or better than the Furniture Warehouse’s pay.

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To compare the two job offers, let's start by setting up the equations. The Furniture Barn pays a commission of 75% on sales, while The Furniture Warehouse pays a base salary of $220 plus 2% of sales. Let \( S \) be the sales amount. For both jobs to pay the same, we set the equations equal to each other: \[ 0.75S = 220 + 0.02S \] Rearranging gives us: \[ 0.75S - 0.02S = 220 \] \[ 0.73S = 220 \] \[ S = \frac{220}{0.73} \approx 301.37 \] Thus, rounding to the nearest cent, you would need to sell about \$301.37 in a week for the job at The Furniture Barn to pay as well or better than the job at The Furniture Warehouse. If only you could bottle a secret formula for figuring out when to switch jobs! A handy tip is to keep an eye on the market trends in the furniture industry. Understanding your customer base can help you maximize your selling potential, making it easier to hit that sales threshold and ensuring you make the most out of any commission structure you choose. Work environments can vary significantly, and it’s vital to recognize what complements your strengths. Rather than chasing the highest commission alone, consider factors like company culture and support. If one job offers more training or a collaborative team, it might be worth a slightly lower paycheck, since you’ll likely reach that threshold with greater ease and enjoyment!

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