Obtain an optimal solution for the linear programming model

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a. How many Spanish-speaking operators and how many English-speaking operators does the hospital need to staff the call center during each two-hour shift of the day in order to answer all calls? Please provide an integer number since half a human operator makes no sense.

b. Lenny needs to determine how many full-time employees who speak Spanish, full-time employees who speak English, and part-time employees he should hire to begin on each shift. Creative Chaos Consultants advises him that linear programming can be used to do in such a way as to minimize operating costs while answering all calls. Formulate a linear programming model of this problem.

c. Obtain an optimal solution for the linear programming model formulated in part b to guide Lenny's decision.

d. Because many full-time workers do not want to work late into the evening, Lenny can find only one qualified English-speaking operator willing to begin work at 1 pm. Given this new constraint, how many full-time English-speaking operators, full-time Spanish-speaking operators, and part-time operators should Lenny hire for each shift to minimize operating costs while answering all calls?

e. Lenny now has decided to investigate the option of hiring bilingual operators instead of monolingual operators. If all the operators are bilingual, how many operators should be working during each two-hour shift to answer all phone calls? As in part a, please provide an integer answer.

f. If all employees are bilingual, how many full-time and part-time employees should Lenny hire to begin on each shift to minimize operating costs while answering all calls? As in part b, formulate a linear programming model to guide Lenny's decision.

g. What is the maximum percentage increase in the hourly wage rate that Lenny can pay bilingual employees over monolingual employees without increasing the total operating costs? h. What other features of the call center should Lenny explore to improve service or minimize operating costs? N

Reference no: EM132888441

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