Homework #4 Solutions

{ash, sulfur}
Data
PRODm = production cost/ton ($) of coal from mine m
CAPm = production capacity of mine m
PROPem = proportion of e per ton in mine m coal
LIMe = maximum proportion of e in all coal shipped
COSTmc = cost/ton ($) to ship from m to c
DEMANDc = tons demanded by customer c
TOTmc = PRODm + COSTmc = total production plus shipping cost
Variables
xmc = tons of coal shipped from m to c
Objective

Constraints

= demand for cake c in month m
COSTcm = cost for cake c in month m
HOLDc = holding cost/month for cake c
CAP = max cakes baked/month
Variables
xcm = # of cakes c baked in month m
incm = inventory of c at the end of month m
Objective

Constraints

(Algebraic)