Question 3

(20 points) Apple would like to open up three managerial positions to handle customer service. Each manager will be responsible for one project, and each project will be handled by one manager.

There are five candidates for three positions. Past records indicate the candidates' customer satisfaction rate when they handled inquiries about each of the three products:

Customer satisfaction rate	Iphone 13 (product 1)	Imac Studio (product 2)	Ipad Air (product 3)
Candidate A	75	80	85
Candidate B	80	85	85
Candidate C	80	85	95
Candidate D	77	85	90
Candidate E	90	88	85

For example, if candidate A becomes the Iphone 13 manager, then 75% of customers will be satisfied when they have questions about this product.

Apple wants to maximize the total customer satisfaction rates over the listed three products. Use binary interger programming to determine which candidates should be assigned to each of the products. Write a programming model that determines the assignment.