4. Consider a monopoly market with a demand function for which quantity demanded depends not only on price p but also on the amount of advertising the firm does, A, measured in dollars as are other costs. The specific form of this function is Q = (20 - P) B(A) , where B(A) = 1 +0.1A - 0.0142 . The firm's cost function is C(Q, A) = 10Q + 15 + A. (a) What is the firm's (unmaximized) profit function II(Q, A)? (b) What are the first-order necessary conditions for a pair of values Q > 0 and A > 0 to maximize monopoly profit? (c) Use your part-(b) conditions to solve for the profit-maximizing values of Q and A, and then use these to determine the market price p, the maximized profit level n, and the associated amount of consumer surplus.(d) Use your part-(b) conditions to solve for the prot-maximizing value of Q on the aesumptien that A = If}, and then determine the associated market price, maximized prot level, and consumer surplus