Questions: Multiple Choice Question
Lambert had net sales of 72,000 and earns 3% on the first 40,000 of net sales, 4.5% on the next 20,000 and 5% on anything over 60,000. What are Lambert's commission earnings?
3,600
2,700
3,240
Transcript text: Multiple Choice Question
Lambert had net sales of $\$ 72,000$ and earns $3 \%$ on the first $\$ 40,000$ of net sales, $4.5 \%$ on the next $\$ 20,000$ and $5 \%$ on anything over $\$ 60,000$. What are Lambert's commission earnings?
$\$ 3,600$
$\$ 2,700$
$\$ 3,240$
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Solution
Solution Steps
To solve this problem, we need to calculate Lambert's commission earnings based on the given percentage rates for different ranges of net sales. We will break down the net sales into three parts: the first $40,000, the next $20,000, and anything over $60,000. We will then apply the respective commission rates to each part and sum them up to get the total commission earnings.
Step 1: Calculate Commission for the First $40,000
For the first $40,000 of net sales, Lambert earns a commission of \(3\%\). Thus, the commission for this portion is calculated as:
\[
\text{First Part Commission} = 40000 \times 0.03 = 1200
\]
Step 2: Calculate Commission for the Next $20,000
For the next $20,000 (from $40,001 to $60,000), Lambert earns a commission of \(4.5\%\). Therefore, the commission for this portion is:
\[
\text{Second Part Commission} = 20000 \times 0.045 = 900
\]
Step 3: Calculate Commission for Sales Over $60,000
For the amount over $60,000, which in this case is \(72000 - 60000 = 12000\), Lambert earns a commission of \(5\%\). The commission for this portion is:
\[
\text{Third Part Commission} = 12000 \times 0.05 = 600
\]
Step 4: Calculate Total Commission
Now, we sum all the commissions to find the total earnings:
\[
\text{Total Commission} = 1200 + 900 + 600 = 2700
\]
Final Answer
The total commission earnings for Lambert is \(\boxed{2700}\).