This model represents a decision concerning number of hours spent by biochemists on certain laboratory experiments (X₁) and number of hours spent by biophysicists on the same series of experiments (X₂). A biochemist costs $18 per hour while a biophysicist's salary averages $23 per hour. Both types of scientists can be used on three needed laboratory operations: test 1, test 2, and test 3. The experiments and their times are in the table.

Management analysts at a Fresno Laboratory have developed the following LP problem.

Minimize Cost 18X₁ + 23X₂

subject to

Lab Test 1: 8X₁ + 4X₂ >= 120

Lab Test 2: 4X₁ + 6X₂ >= 125

Lab Test 3: 9X₁ + 4X₂ >= 116

a. Setup the initial tableau and iterate to optimality