Tom's Tailoring Has Five Idle Tailors and Four Custom Garments $\quad$

question 15

Essay

Tom's Tailoring has five idle tailors and four custom garments to make.The estimated time (in hours)it would take each tailor to make each garment is listed below.(An 'X' in the table indicates an unacceptable tailor-garment assignment.) $\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\text { Tail or }$
$$\begin{array} { l c c c c c } \text { Garment } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Wedding gown } & 19 & 23 & 20 & 21 & 18 \\\text { Clown costume } & 11 & 14 & \mathrm { X } & 12 & 10 \\\text { Admiral's uni form } & 12 & 8 & 11 & \mathrm { X } & 9 \\\text { Bullfighter's outfit } & \mathrm { X } & 20 & 20 & 18 & 21\end{array}$$ Formulate and solve an integer program for determining the tailor-garment assignments that minimize the total estimated time spent making the four garments.No tailor is to be assigned more than one garment and each garment is to be worked on by only one tailor.

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Definitions:

Placebo Effects

Psychological or physiological responses seen in individuals receiving an inert treatment, attributed to the belief in the treatment’s efficacy.

Placebo Effect

is a beneficial effect produced by a placebo drug or treatment, which cannot be attributed to the properties of the placebo itself, and must therefore be due to the patient's belief in the treatment.

Therapy

The treatment of physical, mental, or psychological disorders through methods including counseling, medication, or other health care interventions.

Expectation

The belief or anticipation that something will happen or be the case in the future.