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

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The demand equation for your company's virtual reality videoheadsets is

p=1000/q^.3

where q is the total number of headsets that yourcompany can sell in a week at a price of p dollars. Thetotal manufacturing and shipping cost amounts to $140 perheadset.
(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 ofprofit? (Give your answer to the nearest whole number.)

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

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