Consider the following applied problem of the Cournot Model: Two companies, M and E, compete in quantities simultaneousl

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Consider the following applied problem of the Cournot Model:Two companies, M and E, compete in quantities simultaneously in the market for a homogeneous good. The marginal costs of both are assumed to be constant and equal to 5, and the inverse demand function for both companies is: P(Q) = 8−qM−2qE, where qM is the quantity that company M brings to the market and qE is the quantity that company E brings to the market; so in total they carry Q=qM+qE. Determine this last quantity Q, as well as the market price for this good.