Market Pulse Research has conducted a study for Lucas Furniture on some designs for a new commercial office desk.Three attributes were found to be most influential in determining which desk is most desirable: number of file drawers,the presence or absence of pullout writing boards,and simulated wood or solid color finish.Listed below are the part-worths for each level of each attribute provided by a sample of seven potential Lucas customers. 
Suppose the overall utility (sum of part-worths)of the current favorite commercial office desk is 50 for each customer.What product design will maximize the share of choices for the seven sample participants? Using Excel,formulate and solve this 0-1 integer programming problem.
Definitions:
Quadriceps Group
A muscle group consisting of four muscles on the front of the thigh that work together to extend the knee.
Anterior Thigh Compartment
The front section of the thigh, containing muscles such as the quadriceps that are primarily involved in knee extension and hip flexion.
Medial Thigh Compartment
A region of the thigh that contains various muscle groups, including the adductors, which are involved in bringing the thigh towards the midline of the body.
Gluteus Maximus
The largest and most superficial of the three gluteal muscles, involved in the extension and outward rotation of the hip.
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