Question
Tasty Tangerine is currently selling 50,000 boxes for $25 per box. Variable cost per box is $17 and fixed costs total $260,000. A plan is being considered to spend $60,000 on advertising and reduce the selling price by $2 per box. Management believes this plan will increase sales volume by 24,000 boxes. If management's predictions are correct, making these changes will cause net income for the year to Blank______.
Multiple choice question.
decrease by $104,000
increase by $44,000
decrease by $16,000
increase by $132,000
Multiple choice question.
decrease by $104,000
increase by $44,000
decrease by $16,000
increase by $132,000
Answers
GPT-4o mini
To determine how the changes will affect net income, we need to analyze the current net income and then the projected net income after making the changes.
### Current Situation:
- Selling price per box = $25
- Variable cost per box = $17
- Fixed costs = $260,000
- Current sales volume = 50,000 boxes
**Current Revenue:**
\[
\text{Current Revenue} = \text{Selling Price} \times \text{Volume} = 25 \times 50,000 = 1,250,000
\]
**Current Variable Costs:**
\[
\text{Current Variable Costs} = \text{Variable Cost per Box} \times \text{Volume} = 17 \times 50,000 = 850,000
\]
**Current Total Costs:**
\[
\text{Current Total Costs} = \text{Current Variable Costs} + \text{Fixed Costs} = 850,000 + 260,000 = 1,110,000
\]
**Current Net Income:**
\[
\text{Current Net Income} = \text{Current Revenue} - \text{Current Total Costs} = 1,250,000 - 1,110,000 = 140,000
\]
---
### Proposed Changes:
- New selling price per box = $25 - $2 = $23
- Increase in sales volume = 24,000 boxes
- New total sales volume = 50,000 + 24,000 = 74,000 boxes
- New advertising cost = $60,000 (additional)
**New Revenue:**
\[
\text{New Revenue} = \text{New Selling Price} \times \text{New Volume} = 23 \times 74,000 = 1,682,000
\]
**New Variable Costs:**
\[
\text{New Variable Costs} = \text{Variable Cost per Box} \times \text{New Volume} = 17 \times 74,000 = 1,258,000
\]
**New Total Costs:**
\[
\text{New Total Costs} = \text{New Variable Costs} + \text{Fixed Costs} + \text{Advertising Cost} = 1,258,000 + 260,000 + 60,000 = 1,578,000
\]
**New Net Income:**
\[
\text{New Net Income} = \text{New Revenue} - \text{New Total Costs} = 1,682,000 - 1,578,000 = 104,000
\]
---
### Change in Net Income:
\[
\text{Change in Net Income} = \text{New Net Income} - \text{Current Net Income} = 104,000 - 140,000 = -36,000
\]
Thus, the net income will decrease by $36,000.
### Answer:
None of the provided options accurately reflect the computed change in net income. Based on our calculations, the decrease is $36,000, which is not listed among the choices. If the options were adjusted or if there were additional clarifications regarding how the fixed costs may vary, we could arrive at a different conclusion, but based on the information given, the final change doesn't match any option.
### Current Situation:
- Selling price per box = $25
- Variable cost per box = $17
- Fixed costs = $260,000
- Current sales volume = 50,000 boxes
**Current Revenue:**
\[
\text{Current Revenue} = \text{Selling Price} \times \text{Volume} = 25 \times 50,000 = 1,250,000
\]
**Current Variable Costs:**
\[
\text{Current Variable Costs} = \text{Variable Cost per Box} \times \text{Volume} = 17 \times 50,000 = 850,000
\]
**Current Total Costs:**
\[
\text{Current Total Costs} = \text{Current Variable Costs} + \text{Fixed Costs} = 850,000 + 260,000 = 1,110,000
\]
**Current Net Income:**
\[
\text{Current Net Income} = \text{Current Revenue} - \text{Current Total Costs} = 1,250,000 - 1,110,000 = 140,000
\]
---
### Proposed Changes:
- New selling price per box = $25 - $2 = $23
- Increase in sales volume = 24,000 boxes
- New total sales volume = 50,000 + 24,000 = 74,000 boxes
- New advertising cost = $60,000 (additional)
**New Revenue:**
\[
\text{New Revenue} = \text{New Selling Price} \times \text{New Volume} = 23 \times 74,000 = 1,682,000
\]
**New Variable Costs:**
\[
\text{New Variable Costs} = \text{Variable Cost per Box} \times \text{New Volume} = 17 \times 74,000 = 1,258,000
\]
**New Total Costs:**
\[
\text{New Total Costs} = \text{New Variable Costs} + \text{Fixed Costs} + \text{Advertising Cost} = 1,258,000 + 260,000 + 60,000 = 1,578,000
\]
**New Net Income:**
\[
\text{New Net Income} = \text{New Revenue} - \text{New Total Costs} = 1,682,000 - 1,578,000 = 104,000
\]
---
### Change in Net Income:
\[
\text{Change in Net Income} = \text{New Net Income} - \text{Current Net Income} = 104,000 - 140,000 = -36,000
\]
Thus, the net income will decrease by $36,000.
### Answer:
None of the provided options accurately reflect the computed change in net income. Based on our calculations, the decrease is $36,000, which is not listed among the choices. If the options were adjusted or if there were additional clarifications regarding how the fixed costs may vary, we could arrive at a different conclusion, but based on the information given, the final change doesn't match any option.