The president of a consulting firm wants to minimize the total number of hours it will take to complete four projects for a new client. Accordingly, she has estimated the time it should take for each of her top consultants -- Charlie, Gerald, Johnny, and Rick -- to complete any of the four projects, as follows:
a. In how many different ways can she assign these consultants to these projects?
b. What is the total number of hours required by the following arbitrary assignment?
Charlie→B; Gerald→A; Johnny→D; Rick→C
c. What is the optimal assignment of consultants to projects? (Use the assignment method; SHOW YOUR WORK!)
d. For the optimal schedule, what is the total number of hours it will take these consultants to complete these projects?
e. What is the significance, if any, of the fact that Gerald is the best performer at all four projects?
Definitions:
Dermis
The thick layer of living tissue below the epidermis in mammalian skin, containing blood capillaries, nerve endings, sweat glands, and hair follicles.
Epithelial Tissue
A tissue type that lines the tubes, hollow organs, and cavities of the body.
Connective Tissues
Tissues that support, bind together, and protect the organs of the body. This includes bone, cartilage, tendons, and ligaments among others.
Chemotherapy
A type of cancer treatment that uses drugs to destroy or slow the growth of cancer cells.
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