Question

A chain of hardware stores finds that the demand D for a special power tool varies inversely with the advertised price P of the tool. Suppose that when the price is advertised at $85, there is a monthly demand for 10000 units at all participating stores. Important Note: MapleTA doesn't recognize commas in big numbers, so don't include them in your answers. (a) Find the proportionality constant k. k =

(b) Determine the variation equation (include the value of k you found in part (a), not the letter k itself.)

(c) Find the projected demand if the price was lowered to $70.83. Round to a whole number, but keep the context of the problem in mind (Does it make sense to round up?). D =

(d) Find the price that will result in a projected demand of 12500 units per month. P = $

Answer 1