The supervisor of a manufacturing plant is trying to determine how many of two parts, Part X and Part Y, are to be produced per day.Each part must be processed in three sectionsof the plant. The time required for the production, along with the profit contribution for each part are given in the following table.

Time required (Minutes/Unit) Section Section Section 1 2 3 Profit/Unit Part X 50 30 18 $2 Part Y 80 22 $3 Available time . 3,500 2,500 1,200 (minutes)