Production and Operations Analysis, Seventh Edition
Production and Operations Analysis, Seventh Edition
7th Edition
ISBN: 9781478623069
Author: Steven Nahmias, Tava Lennon Olsen
Publisher: Waveland Press, Inc.
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Chapter 1, Problem 47AP
Summary Introduction

To determine: The optimal number of years required between new serial plant openings.

Introduction: From the past experiences, a steel manufacturer can evaluate the present and the future circumstances of the firm. It can also predict the optimal timing of opening new plants.

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You have been hired by Kia as manager for its Pakistan operations.  Assume following is the short-run production function at their assembly plant outside Karachi:             Q = 10L2 – 0.5 L3      where L is variable input labor, Q is output of Cars assembled a. At the end of the year it is expected that output will double with purchase ofnew equipment and machinery. The production function is estimated to be                           Q = 60L.30K.70    where L is labor and K is capital.  Suppose initial L1 = 1 and K1 = 1. When inputs are in increased to L2 = 2 and K2 = 2, do you observe increasing, decreasing or constant returns to scale?  b. Assume Kia Head Office is considering hiring more laborers either at their Gwadar plant or alternatively at the Karachi plant. What will be your advice if workers’ marginal product is 40 at wage of Rs=5/hour in Karachi and marginal product is 28 at wage of Rs=4/hour in Gawdar?
A firm is considering the installation of an automatic data processing unit to handle some of its accounting operations. Machines for that purpose may be purchased for 20,000 or may beleased for 8,000 for the first year and 1,000 less every year now and then until the end of the fourth year. If money is worth 15%, is it advisable to rent or buy a machine?
. A 100 cu.m. pit is to be excavated using a hydraulic excavator with a rate of 7.1 cu.m. per hour. The rental price of the hydraulic excavator is P12,600.00 per day. If the excavator is used 8 hours per day, determine the equipment cost to finish the excavation work. 18-21. The material cost of a certain scope of work has a total of P250,500.00. Determine the number of days to finish the work if they are using 3 tools that has a rental price of P760.00 per day each. Use (Labor Cost + Equipment Cost)/Material Cost = 30% Workers Salary per day P1050.00 P650.00 P480.00 P320.00 Project Engineer Foreman 2 Skilled Laborer 3 Laborer
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