.4. JoShop wants to assign four different categories of machines to five types of tasks. The
numbers of machines available in the four categories are 25, 30,20, and 30. The numbers
of jobs in the five tasks are 20, 20, 30,10, and 25. Machine category 4 cannot be assigned
to task type 4. Table 5.14 provides the unit cost (in dollars) of assigning a machine category
to a task type. The objective of the problem is to determine the optimum number of
machines in each category to be assigned to each task type. Solve the problem and interpret
the solution.