Best Orange Juice Company is located in Oman. The cost function for total orange juice production (x) is given by C(q)=0.25x2. Their orange juice is demanded only in Muscat (Muscat demand is 100-2P) and Salalah (Salalah demand is 100-4P). Therefore, the total demand is x-x+x. If the company can control the quantities supplied to each market, how many should it sell in each location to maximize total profits? What price would it charge in each location?

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