Cost of processing the payroll, Mechanical Engineering

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The processing of payroll for the 10,000 workers in a large rm can either be done using 1 hour of computer time (signed by K) and no clerks or with 10 hours of clerical time (signed by L) and no computer time. Computers and clerks are perfect substitutes; for instances, the rm could also process its payroll using 1/2 hour of computer time and 5 hours of clerical time.

a. Draw the isoquant that shows all combinations of clerical time and computer time that permits the rm to process the payroll for 10,000 workers.

b. Assume computer time costs $5 per hour and clerical time costs $7.50 per hour. What are the cost-minimizing choices of L and K? What is the minimized total cost of processing the payroll?


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