Hart manufacturing makes three products. each product requires manufacturing operations in three departments: a, b, and c. the labor-hour requirements, by department, are as follows: department product 1 product 2 product 3 a 1.95 3.45 2.45 b 2.90 1.90 3.40 c 0.70 0.70 0.70

during the next production period, the labor-hours available are 540 in department a, 440 in department b, and 140 in department c. the profit contributions per unit are $34 for product 1, $37 for product 2, and $39 for product 3.

formulate a linear programming model for maximizing total profit contribution. for those boxes in which you must enter subtractive or negative numbers use a minus sign. (example: -300)

let pi = units of product i produced