The demand equation for your company's virtual reality video headsets is p = amounts to $110 per headset. 2,000 0.3, where g is the total number of headsets that your company can sell in a week at a price of p dollars. The total manufacturing and shipping cost (a) What is the greatest profit your company can make in a week? (Give your answer to the nearest whole number.) $ How many headsets will your company sell at this level of profit? (Give your answer to the nearest whole number.) q= headsets (b) How much, to the nearest $1, should your company charge per headset for the maximum profit? p=$
The demand equation for your company's virtual reality video headsets is p = amounts to $110 per headset. 2,000 0.3, where g is the total number of headsets that your company can sell in a week at a price of p dollars. The total manufacturing and shipping cost (a) What is the greatest profit your company can make in a week? (Give your answer to the nearest whole number.) $ How many headsets will your company sell at this level of profit? (Give your answer to the nearest whole number.) q= headsets (b) How much, to the nearest $1, should your company charge per headset for the maximum profit? p=$
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![### Virtual Reality Headset Demand and Profit Calculation
The demand equation for your company's virtual reality video headsets is given by:
\[ p = \frac{2,000}{q^{0.3}} \]
where \( q \) is the total number of headsets that your company can sell in a week at a price of \( p \) dollars. The total manufacturing and shipping cost amounts to $110 per headset.
#### (a) Calculating Maximum Profit
1. **What is the greatest profit your company can make in a week?**
Give your answer to the nearest whole number.
**Profit (\$)**: [Input Box]
2. **How many headsets will your company sell at this level of profit?**
Give your answer to the nearest whole number.
**Headsets Sold ( \( q \) )**: [Input Box]
#### (b) Optimal Pricing for Maximum Profit
3. **How much, to the nearest \$1, should your company charge per headset for the maximum profit?**
**Price (\( p \) )**: [Input Box]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F144527c6-4d39-4faa-ad47-bfaf6dc9f136%2F397581ff-befa-47ae-987d-a8b6cf80d0eb%2F81gokgh_processed.png&w=3840&q=75)
Transcribed Image Text:### Virtual Reality Headset Demand and Profit Calculation
The demand equation for your company's virtual reality video headsets is given by:
\[ p = \frac{2,000}{q^{0.3}} \]
where \( q \) is the total number of headsets that your company can sell in a week at a price of \( p \) dollars. The total manufacturing and shipping cost amounts to $110 per headset.
#### (a) Calculating Maximum Profit
1. **What is the greatest profit your company can make in a week?**
Give your answer to the nearest whole number.
**Profit (\$)**: [Input Box]
2. **How many headsets will your company sell at this level of profit?**
Give your answer to the nearest whole number.
**Headsets Sold ( \( q \) )**: [Input Box]
#### (b) Optimal Pricing for Maximum Profit
3. **How much, to the nearest \$1, should your company charge per headset for the maximum profit?**
**Price (\( p \) )**: [Input Box]
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