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
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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]
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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