I'm not very good with these at all.. 1. Suppose that the demand function for a monopolist's product is of the form q=Ae^-Bp for positive constants A and B. In terms of A and B, find the value of p for which maximum revenue is obtained. Can you explain why your answer does not depend on A? This one i have no idea how to start. Im guessing it doesnt depend on A because its a constant and it doesnt change when derivative is taken 2. For a monopolist, the cost per unit of producing a product is $3, and the demand equation is p=10/sqrt(q). What price will give the greatest profit? i have: P=r-c P(q)=10q/sqrt(q) - 3q but it doesnt work out properly so i need help 3. For a monopolist's product, the demand function is p=40/sqrt(q) and the average-cost function is c=1/3+2000/q. Find the profit maximizing price and outpute. At this level, showt hat marginal revenue is equal to marginal cost. 4. For a manufacturer, the cost of making a part is $30 per unit for labor and $10 per unit for materials; overhead is fixed at $20000 per week. If more than 5000 units are made each week, labor is $45 per unit for those units in excess of 5000. At what level of production will average cost per unit be a minumum? my guess is c=40x+20000 then idk what to do with the second part of this question

okay I'm going to guess at what the letters mean. q = quantity produced (demand?) p = price so revenue = qp 1) revenue = Ap e^(-Bp) differentiate and set to zero to find minima/maxima 2) profit = q(p - $3) you want a relationship between profit and price so eliminate q. q = 100/(p^2) substitute then differentiate and set to zero to find maxima/minima 3) I don't know what marginal revenue and marginal cost are so can't help with the math 4) draw a graph. First draw the line representing cost per unit up to 5000 units, then draw the line representing the cost per unit when production exceeds 5000 units. ============== Hope that helps and fingers crossed I've not made a simple error.