To encourage buyers to place 100-unit orders, your firm\'s sales department appl

Question

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 for a 100-unit order is p(100) = $20.71. Answer the following: Find p(x) by solving the following initial value problem: Differential Equation: dp/dx = - 1/100p Initial Condition: p(100) = 20.71 p(x) = Find the unit price p( 10) for a 10-unit order. Answer = $ Find the unit price p(80) for a 80-unit order. Answer = $

Explanation / Answer

ln(P)=-x/100+4.036 p(x)=e^-x/100 *e^4.06 a)p(x)=56.59e^-x/100 considering discount p(x)=56.59e^-x/100 -x*.01 b)p(10)=50.80 c)p(80)=21.93

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