6. [-/2.94 Points] DETAILS WANEFMAC8 12.2.037.EP. MY NOTES ASK YOUR TEACHER 1,500 The demand equation for your company's virtual reality video headsets is p = where q is the total number of headsets 90.3 that your company can sell in a week at a price of p dollars. The total manufacturing and shipping cost amounts to $100 per headset. (a) Find the function P for weekly profit, in millions of dollars and in terms of q only, subject to any constraints. P(q) = Find P'(q). P' (q) = = What is the greatest profit (in dollars) 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.) 9 = headsets (b) How much, to the nearest $1, should your company charge per headset for the maximum profit (in dollars)? p = $