A firm can sell its products in two countries. Quantity demanded in the first country is given by?

π‘ž =99/2-1/2p
and in the second country
𝑄 = 99 βˆ’ 𝑃
The firm’s total output is q+Q which it can produce at a total cost (TC) of
𝑇𝐢 = 50π‘ž + 50𝑄 + π‘žπ‘„ + 0.5π‘ž^2 + 0.5𝑄^2

Find
(i) the prices and outputs in each country that maximise profits
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