** please it's very important to use the AMPL code method and showing the definition of the LP model and final solution, Thanks.

5-17. 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 5.31 provides the unit cost (in dollars) of assigning a machine cat- egory 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. TABLE 5.31 Unit Costs for Problem 5-17 Task type 1 2 3 4 5 3 15 Machine category 1 2 3 4 10 5 15 20 2 10 5 15 15 2 7 9 4 15 8