A house is to be purchased for $180,000 with a 10% down payment, thereby fi nancing $162,000 with a home loan and mortgage. There are no "points" or other closing charges associated with the loan. A conventional 30-year loan is used at 7.5%, resulting in monthly payments of $1,132.73. The interest portion of the first monthly payment will be what?

Amonopolist’s inverse demand function is p = 150 – 3q. the company produces output at two facilities; the marginal cost of producing at facility 1 is mc1(q1) = 6q1, and the marginal cost of producing at facility 2 is mc2(q2) = 2q2.a. provide the equation for the monopolist’s marginal revenue function. (hint: recall that q1 + q2 = q.)mr(q) = 150 - 6 q1 - 3 q2b. determine the profit-maximizing level of output for each facility.output for facility 1: output for facility 2: c. determine the profit-maximizing price.$