We consider again the (usual) toy factory production problem with two products, toy soldiers and toy trains, with sale prices $3 respectively $2, requiring 1 hour each in the carving shop, and 2 hours respectively 1 hour in the finishing shop; the total hours being 80 and 100 respectively, as usual. Each toy soldier requires 3 units of packaging material, and each toy train requires 4. The company became non-profit and set itself several new goals. Goal #1: not to produce more than 40 toy soldiers, only up to 40 can be sold at the price $3 Goal #2: make at least $140 of profit to pay workers wages Goal #3: use at most 130 units of packaging material; only this much is currently available Each goal can be met individually, however trying to meet all three at once may not be (and it is not) possible. Failure to meet a goal carries a penalty, proportional to the amount by which the goal is not met. Penalty #1: each toy soldier over 40 units will not be sold; penalty of $3 of missing profit Penalty #2: any profit below $140 has to be obtained by borrowing at 20% interest Penalty #3: any missing packaging material has to be bought at $0.80 a unit Our combined goal is to minimize the total penalty incured. This leads to the following