The Carson Company makes two products, X and Y. Their contribution margins are $50 and

$90, respectively. Each product goes through three processes: cutting, finishing, and painting.

The number of hours required by each process for each product and capacities available are

given below:

Hours Rewired in Each Process

Product

Cutting

Finishing

Painting

X

2

4

3

Y

1

6

2

Capacities in hours

300

500

250

Formulate the objective function and constraints to determine the optimal product mix.