A company manufactures Products A, B, andC. Each product is processed in three departments: I, II,and III. The total available labor-hours per week for DepartmentsI, II, and III are 900, 1080, and 840, respectively. The timerequirements (in hours per unit) and profit per unit for eachproduct are as follows. (For example, to make 1 unit of productA requires 2 hours of work from Dept. I, 3 hours of workfrom Dept. II, and 2 hours of work from Dept. III.)
| ProductA | ProductB | ProductC |
|---|
| Dept. I | 2 | 1 | 2 |
|---|
| Dept. II | 3 | 1 | 2 |
|---|
| Dept. III | 2 | 2 | 1 |
|---|
| Profit | $18 | $12 | $15 |
|---|
How many units of each product should the company produce inorder to maximize its profit?
| ProductA | units |
| ProductB | units |
| ProductC | units |
What is the largest profit the company can realize?
$
Are there any resources left over? (If so, enter the amountremaining. If not, enter 0.)
| labor in Dept.I | labor-hours |
| labor in Dept.II | labor-hours |
| labor in Dept.III | labor-hours |
