Exercises 40–51 each have several steps leading to a complete solution to a mixture problem. Practice a specific step of the solution algorithm by working out just that step for several problems. The steps are:

  1. Make a mixture chart for the problem.
  2. Using the mixture chart, write the profit formula and the resource- and minimum-constraint inequalities.
  3. Draw the feasible region for those constraints and find the coordinates of the corner points.
  4. Evaluate the profit information at the corner points to determine the production policy that best answers the question.
  5. (Requires technology) Compare your answer with the one you get from running the same problem on a simplex algorithm computer program.

Question 4.73

43. In a certain medical office, a routine office visit requires 5 min of doctors’ time and a comprehensive office visit requires 25 min of doctors’ time. In a typical week, there are 1800 min of doctors’ time available. If the medical office clears $30 from a routine visit and $50 from a comprehensive visit, how many of each should be scheduled per week? How, if at all, do the maximum profit and optimal production policy change if the office is required to schedule at least 20 routine visits and 30 comprehensive ones?

43.

Schedule 360 routine visits and no comprehensive visits; schedule 210 routine visits and 30 comprehensive visits.

45.

Take four math courses and no other courses; take two math courses and two other courses.