a chair manufacturer makes three different types of chairs each of which must go through sanding, staining and varnishing. In addition the model with the vinyl-covered back and seat must go through an upholstering process. the attached table gives the time required for each operation on each type of chair, the available time for each operation in hours per month and the profit per chairfor each model. how many chairs of each type should be made to maximize the profit. need to formulate as an integer programming problem.