set ITEMS;

set RESOURCES;

param item_resource{ITEMS, RESOURCES};
# amount of resource required for producing 1 unit

param capacity{RESOURCES};

param profit{ITEMS};

param demand{ITEMS};


var number_of_units{ITEMS} integer;
# number of units to produce for each furniture piece

maximize total_profit: sum{i in ITEMS} profit[i]*number_of_units[i];

subject to Capacity_constraints{j in RESOURCES}:
sum{i in ITEMS} item_resource[i,j]*number_of_units[i] <= capacity[j];

subject to Demand_constraints{i in ITEMS}:
number_of_units[i] >= demand[i];


data;

set ITEMS:= table chair desk;

set RESOURCES:= pine oak labor;

param item_resource: 
	pine	oak	labor :=
table	5	2	3
chair	1	3	2
desk	9	4	5;

param capacity:=
pine	1500
oak	1000
labor	800;

param:	profit	demand :=
 table	12	40
 chair	5	130
 desk	15	30 ;