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The demand equation for your company's virtual reality video headsets is p=1000/q^.3 where q is the...

The demand equation for your company's virtual reality video headsets is

p=1000/q^.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 $140 per headset.
(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.)

(b) How much, to the nearest $1, should your company charge per headset for the maximum profit?

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