Find the constants m and b in the linear function f(x) = mx + b so that f(7) = 9 and the straight line represented by f has slope -3. m = b = A manufacturer has a monthly fixed cost of $32,000 and a production cost of $0 for each unit produced. The product sells for $10/unit. Find the following functions (in dollars) and compute each profit (in dollars). (a) What is the cost function? C(x)= (b) What is the revenue function? R(X)- (c) What is the profit function? (d) Compute the profit (loss) corresponding to production levels of 6,000 and 10,000 units. P6,000) $ P(10,000) $ A manufacturer has a monthly fixed cost of $100,000 and a production cost of $10 for each unit produced. The product sells for $22/unit. (a) What is the cost function, C(x)? C(x)= (b) What is the revenue function, R(x)? R(x)= (c) What is the profit function, P(x)? P(x)- (d) Compute the profit (loss) corresponding to production levels of 5,000 and 65,000 units. P(5,000) units P(65,000) units $