this class is called production planning & control for ISYE

help solve for a, b, c

Given Data 1. Annual demand of coffee is 280 lbs. 2. Cost of capital is 20%. 3. Order processing cost is $45.00 4. Coffee is purchased for $2.40/lb. Part 2 (30 points) The vendor offers an all units discount plan show below (data points 1,2&3 remain constant). $2.40/lb for quantities up to 200lbs $2.15 / l b for quantities from 200 up to 299 lbs $1.90/lb for quantities >=300lbs Determine a) Which (if any) orders are realizable b) Optimal order for coffee given above pricing c) Total cost for optimal order