Question

a. if swaimania companys budgeted sales are \\$1,000,000, fixed costs are \\$350,000, and variable costs are \\$600,000, what is the budgeted contribution margin ratio?

b. if the contribution margin ratio is 30%, sales are \\$900,000, and fixed costs are \\$200,000, what is the operating income?

Explanation:

<pre_analysis>
{
"quality": "clear",
"question_count": 2,
"skills_matched": [
"step_cot",
"explain_then_answer",
"tutor",
"mastery_adaptive_brevity"
],
"needs_drawing": false,
"concepts_used": [
"Contribution Margin Ratio",
"Operating Income"
],
"new_concepts": [],
"current_concepts": [
"Contribution Margin Ratio",
"Operating Income"
]
}
</pre_analysis>

<reasoning>

Calculate budgeted contribution margin ratio

Using the Contribution Margin Ratio knowledge point
\[

$$\begin{aligned} \text{Contribution Margin} &= \text{Sales} - \text{Variable Costs} \\ &= \$1,000,000 - \$600,000 \\ &= \$400,000 \end{aligned}$$

\]
\[

$$\begin{aligned} \text{Contribution Margin Ratio} &= \frac{\text{Contribution Margin}}{\text{Sales}} \\ &= \frac{\$400,000}{\$1,000,000} \\ &= 40\% \end{aligned}$$

\]

Calculate operating income

Using the Operating Income and Contribution Margin Ratio knowledge points
\[

$$\begin{aligned} \text{Contribution Margin} &= \text{Sales} \times \text{Contribution Margin Ratio} \\ &= \$900,000 \times 30\% \\ &= \$270,000 \end{aligned}$$

\]
\[

$$\begin{aligned} \text{Operating Income} &= \text{Contribution Margin} - \text{Fixed Costs} \\ &= \$270,000 - \$200,000 \\ &= \$70,000 \end{aligned}$$

\]
</reasoning>

<answer>

Question a

a. If Swatmania Company's budgeted sales are $1,000,000, fixed costs are $350,000, and variable costs are $600,000, what is the budgeted contribution margin ratio?
<blank>40</blank>%

Question b

b. If the contribution margin ratio is 30%, sales are $900,000, and fixed costs are $200,000, what is the operating income?
$<blank>70,000</blank> operating income
</answer>

<post_analysis>
{
"subject": "Business",
"question_type": "Multi-part",
"knowledge_point": [
"Business",
"Accounting",
"Cost-Volume-Profit Analysis"
]
}
</post_analysis>

Answer:

<pre_analysis>
{
"quality": "clear",
"question_count": 2,
"skills_matched": [
"step_cot",
"explain_then_answer",
"tutor",
"mastery_adaptive_brevity"
],
"needs_drawing": false,
"concepts_used": [
"Contribution Margin Ratio",
"Operating Income"
],
"new_concepts": [],
"current_concepts": [
"Contribution Margin Ratio",
"Operating Income"
]
}
</pre_analysis>

<reasoning>

Calculate budgeted contribution margin ratio

Using the Contribution Margin Ratio knowledge point
\[

$$\begin{aligned} \text{Contribution Margin} &= \text{Sales} - \text{Variable Costs} \\ &= \$1,000,000 - \$600,000 \\ &= \$400,000 \end{aligned}$$

\]
\[

$$\begin{aligned} \text{Contribution Margin Ratio} &= \frac{\text{Contribution Margin}}{\text{Sales}} \\ &= \frac{\$400,000}{\$1,000,000} \\ &= 40\% \end{aligned}$$

\]

Calculate operating income

Using the Operating Income and Contribution Margin Ratio knowledge points
\[

$$\begin{aligned} \text{Contribution Margin} &= \text{Sales} \times \text{Contribution Margin Ratio} \\ &= \$900,000 \times 30\% \\ &= \$270,000 \end{aligned}$$

\]
\[

$$\begin{aligned} \text{Operating Income} &= \text{Contribution Margin} - \text{Fixed Costs} \\ &= \$270,000 - \$200,000 \\ &= \$70,000 \end{aligned}$$

\]
</reasoning>

<answer>

Question a

a. If Swatmania Company's budgeted sales are $1,000,000, fixed costs are $350,000, and variable costs are $600,000, what is the budgeted contribution margin ratio?
<blank>40</blank>%

Question b

b. If the contribution margin ratio is 30%, sales are $900,000, and fixed costs are $200,000, what is the operating income?
$<blank>70,000</blank> operating income
</answer>

<post_analysis>
{
"subject": "Business",
"question_type": "Multi-part",
"knowledge_point": [
"Business",
"Accounting",
"Cost-Volume-Profit Analysis"
]
}
</post_analysis>