Trieloff Travel is a travel agency that books both individual travel and group p

Question

Trieloff Travel is a travel agency that books both individual travel and group package tours primarily for senior citizens. Jim Trieloff, the owner) of the agency, employs himself, his wife, and two other full-time employees working 8 hours per day, 5 days a week. He also employs two half-time workers, giving him a total of 4(40) + 2(20) = 200 worker-hours per week. He estimates that each individual travel package booked nets him an average of $65, whereas each tour arranged nets him $2500. Each individual package usually takes about 3 man-hours to arrange, and each tour package takes 2 people a combined average of 50 man-hours to put together. Because he wants to establish himself primarily as a tour promoter, he will only allocate between 40 and 60 man-hours for handling individual packages. In a typical week, how should Jim allocate his personnel time between working on individual travel packages and group tours to maximize his expected weekly profit? Comment on the meaning of the fractional values. Now, please help Trieloff to build the mathematical model for this problem and solve it using geometric solution.

Explanation / Answer

As individual tour profit is 65 and group profit is 2500 if he gives his total efforts to group then the profit can be maximum and if the puts part time employee for individuals then the profits can be maximum for Jim

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