A company assembles and packages clocks. The basic model requires 30 minutes to assemble and 20 minutes to package, while the fancy model requires one hour to assemble and 30 minutes to package. There are 30 hours available per week to assemble the clocks, and 12 hours per week available to package the clocks. Each basic clock yields a $2.50 profit, and each fancy clock yields a $4 profit. Using the following decision variables: B: weekly number of basic clocks to assemble F: weekly number of fancy clocks to assemble what is the company's profit optimization problem?

My answer is max 2.5B + 4F subject to: 0.5B + F <= 30; 0.33B + 0.5F <= 12; B, F >= 0; B, F are integers.

is this correct?