To encourage buyers to place 100-unit orders, your firm's sales department applies a continuous discount that makes the unit price a function p(x) of the number of units x ordered. the discount decreases the price at a rate of $0.01 per unit ordered. the price per unit for a 100-unit order is p(100) = $20.09. a. find p(x) by solving the following initial value problem: differential equation: dp/dx = -p/100 initial condition: p(100) = 20.09b. find the unit price for a 10-unit order and the unit price for a 90-unit order. c. the sales department has asked you to find out if it is discounting so much that the firm's revenue, r(x)=x. p(x), will actually be less for a 100-unit order than say for a 90-unit order