QuestionMay 25, 2025

You are offered two different sales jobs. The first company offers a straight commission of 3% of the sales. The second company offers a salary of 340 per week plus 1% of the sales. How much would you have to sell in a week in order for the straight commission offer to be at least as good? square

You are offered two different sales jobs. The first company offers a straight commission of 3% of the sales. The second company offers a salary of 340 per week plus 1% of the sales. How much would you have to sell in a week in order for the straight commission offer to be at least as good? square
You are offered two different sales jobs. The first company offers a straight commission of 3%  of the sales. The
second company offers a salary of 340 per week plus 1%  of the sales. How much would you have to sell in a week
in order for the straight commission offer to be at least as good?
square

Solution
3.8(299 votes)

Answer

You would have to sell \17,000 in a week for the straight commission offer to be at least as good. Explanation 1. Define Variables Let ( x ) represent the total sales in dollars for a week. We need to find the value of ( x ) where both job offers provide equal earnings. 2. Calculate Earnings from First Company The first company offers a straight commission of ( 3\% ). Therefore, the earnings from the first company are ( 0.03x ). 3. Calculate Earnings from Second Company The second company offers a salary of \340 per week plus ( 1\% ) of the sales. Therefore, the earnings from the second company are ( 340 + 0.01x ). 4. Set Up Equation for Equal Earnings To find when the earnings from both companies are equal, set the two expressions equal to each other: \[ 0.03x = 340 + 0.01x \] 5. Solve the Equation Rearrange and solve for ( x ): \[ 0.03x - 0.01x = 340 \] \[ 0.02x = 340 \] \[ x = \frac{340}{0.02} \] \[ x = 17000 \]

Explanation

1. Define Variables<br /> Let ( x ) represent the total sales in dollars for a week. We need to find the value of ( x ) where both job offers provide equal earnings.<br /><br />2. Calculate Earnings from First Company<br /> The first company offers a straight commission of ( 3\% ). Therefore, the earnings from the first company are ( 0.03x ).<br /><br />3. Calculate Earnings from Second Company<br /> The second company offers a salary of \$340 per week plus ( 1\% ) of the sales. Therefore, the earnings from the second company are ( 340 + 0.01x ).<br /><br />4. Set Up Equation for Equal Earnings<br /> To find when the earnings from both companies are equal, set the two expressions equal to each other:<br />\[ 0.03x = 340 + 0.01x \]<br /><br />5. Solve the Equation<br /> Rearrange and solve for ( x ):<br />\[ 0.03x - 0.01x = 340 \]<br />\[ 0.02x = 340 \]<br />\[ x = \frac{340}{0.02} \]<br />\[ x = 17000 \]
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