A study published in Social Science Medicine, “Production Functions for General Hospitals,” estimated the following general hospital production function: Q = 5*Staff.34*Beds.64*Drugs.04*Specialists.02, where Q is a measure used by the authors for patient care. Hospital Management has set a target of Q = 50. Suppose input prices are Pstaff = 12, Pbeds = 5, Pdrugs = 15, Pspecialists = 30. Use Excel Solver or otherwise to find the following: How many Staff and Specialists should Hospital Management employ to produce Q = 100 and minimize cost of production for that output?

A study published in Social Science Medicine, “Production Functions for General Hospitals,” estimated the following general hospital production function: Q = 5Staff.34Beds.64Drugs.04Specialists.02, where Q is a measure used by the authors for patient care. Hospital Management has set a target of Q = 50. Suppose input prices are Pstaff = 12, Pbeds = 5, Pdrugs = 15, Pspecialists = 30. Use Excel Solver or otherwise to find the following: How many Staff and Specialists should Hospital Management employ to produce Q = 100 and minimize cost of production for that output?

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

See similar textbooks

Similar questions

The Boeing Company faces a critical strategic choice in its competition with Airbus Industries for the long-haul flight segment: Should it design and build a super-747 model that can carry 550 passengers at speeds around 350 mph, or a plane that can fly at 95 percent of the speed of sound but carry only about 350 passengers? As a member of Boeing's Planning Group, your task is to build a model to investigate the trade-offs involved in this decision.
A quality control engineer studied the relationship between years of experience as a system control engineer and the capacity of the engineer to complete within a given time a complex control design including the debugging of all computer programs and control devices. A group of 25 engineers having widely differing amounts of experience (measured in months of experience) was given the same control design project. The results of the study are given in the following table with y = 1 if the project was successfully completed in the allocated time and y = 0 if the project was not successfully completed. a. Determine whether experience is associated with the probability of completingthe task. b. Compute the probability of successfully completing the task for an engineer having 24 months of experience. Place a 95% confidence interval on your estimate.
In the packaging department of a large aircraft parts distributor, a fairly reliable estimate ofpackaging and processing costs can be determined by knowing the weight of an order. Thus, theweight is a cost driver that accounts for a sizable fraction of the packaging and processing costsat this company. Data for the past 10 orders are given as follows:
A shoe wholesaler wants to optimize its shipment of shoes to its client retailers. To minimize their turnover time and avoid building up stocks that add costs, the wholesaler wants to know if weather conditions are important in determining the type of shoe demanded. Specifically, she / he would like to know if high temperatures affect the sale of closed, rubber-heeled walking shoes. He / she has the relevant data showing the temperature recorded at the location of its retail shops, as well as their record of sales of these walking shoes, during each day of the past year. What type of analysis should he / she conduct? What variables should be considered? Explain.
In a 1996 article published in Technometrics, 38, pp. 11–22, the authors discuss the reliability of nuclear power plant emergency generators. To control the risk of damage to the nuclear core during accidents at nuclear plants, the reliability of emergency diesel generators (EDG) to start on demand must be maintained at a very high level. At each nuclear power plant there are a number of such generators. An overall measure of reliability is obtained by counting the number of times the EDGs successfully work when needed. The table here provides the number of successful demands for implementation of an EDG between each subsequent failure in an EDG for all the EDGs at each of seven nuclear power plants. A regulatory agency wants to determine if there is a difference in the reliability of the seven nuclear power plants. (Use Data _8). Run an ANOVA (Regardless of the assumptions) and Kruskal–Wallis test.
In a 1996 article published in Technometrics, 38, pp. 11–22, the authors discuss the reliability of nuclear power plant emergency generators. To control the risk of damage to the nuclear core during accidents at nuclear plants, the reliability of emergency diesel generators (EDG) to start on demand must be maintained at a very high level. At each nuclear power plant there are a number of such generators. An overall measure of reliability is obtained by counting the number of times the EDGs successfully work when needed. The table here provides the number of successful demands for implementation of an EDG between each subsequent failure in an EDG for all the EDGs at each of seven nuclear power plants. A regulatory agency wants to determine if there is a difference in the reliability of the seven nuclear power plants. (Use Data _8). Do the conditions necessary for conducting the ANOVA test appear to be satisfied by these data? Run an ANOVA (Regardless of the assumptions) and…
In a 1996 article published in Technometrics, 38, pp. 11–22, the authors discuss the reliability of nuclear power plant emergency generators. To control the risk of damage to the nuclear core during accidents at nuclear plants, the reliability of emergency diesel generators (EDG) to start on demand must be maintained at a very high level. At each nuclear power plant there are a number of such generators. An overall measure of reliability is obtained by counting the number of times the EDGs successfully work when needed. The table here provides the number of successful demands for implementation of an EDG between each subsequent failure in an EDG for all the EDGs at each of seven nuclear power plants. A regulatory agency wants to determine if there is a difference in the reliability of the seven nuclear power plants. (Use Data _8). Do the conditions necessary for conducting the ANOVA test appear to be satisfied by these data?
Given that there are more women in the labor force, more women holding advanced degrees, how does the glass ceiling and the second shift contribute to the persistence of gender inequality?
Suppose you have been employed by ALADIN Solutions Ltd. as an Operations Manager to study the efficiency of customer service center of SONE Bank in handling customers. The customer service center has two serving points, Alpha and Bravo, through which customers are catered. Your field survey results are presented in Table 1 as follows: [Total Marks: 05] Table 1: Wait time of Service Points in Minutes Customer No. Alpha Bravo 1 12 10 2 16 3 3 11 8 4 10 7 5 17 6 6 10 16 7 13 15 8 18 16 9 6 20 10 17 9 You are required to write a letter to your supervisor for presenting the results of your analysis. Use mean waiting times and box plots as the tools to compare the efficiency of Alpha and Bravo serving points. [03 Marks] Assuming a customer visits Alpha and Bravo points and is handled in 18 minutes. Which point is handling customer better? Use Z-Score to determine this and incorporate the results…
Suppose you have been employed by ALADIN Solutions Ltd. as an Operations Manager to study the efficiency of customer service center of SONE Bank in handling customers. The customer service center has two serving points, Alpha and Bravo, through which customers are catered. Your field survey results are presented in Table 1 as follows: Table 1: Wait time of Service Points in Minutes Customer No. Alpha Bravo 1 12 10 2 16 3 3 11 8 4 10 7 5 17 6 6 10 16 7 13 15 8 18 16 9 6 20 10 17 9 You are required to write a letter to your supervisor for presenting the results of your analysis. Use mean waiting times and box plots as the tools to compare the efficiency of Alpha and Bravo serving points. Assuming a customer visits Alpha and Bravo points and is handled in 18 minutes. Which point is handling customer better? Use Z-Score to determine this and incorporate the results in your letter.
The production planning period for flat-screen moni-tors at Louisiana’s Roa Electronics, Inc., is 4 months. Cost data are as follows:Regular-time cost per monitor $ 70Overtime cost per monitor $110Subcontract cost per monitor $120Carrying cost per monitor per month $ 4 For each of the next 4 months, capacity and demand for flat-screen monitors are as follows: PERIOD MONTH 1 MONTH 2 MONTH 3 a MONTH 4Demand 2,000 2,500 1,500 2,100CapacityRegular time 1,500 1,600 750 1,600Overtime 400 400 200 400Subcontract 600 600 600 600aFactory closes for 2 weeks of vacation.CEO Mohan Roa expects to enter the planning period with 500monitors in stock. Back ordering is not permitted (meaning, forexample, that monitors produced in the second month cannot beused to cover first month’s demand). Develop a production planthat minimizes costs using the transportation method.
Burger Dome sells hamburgers, cheeseburgers, French fries, soft drinks, and milk shakes, as well as a limited number of specialty items and dessert selections. Although Burger Dome would like to serve each customer immediately, at times more customers arrive than can be handled by the Burger Dome food service staff. Thus, customers wait in line to place and receive their orders. Suppose that Burger Dome analyzed data on customer arrivals and concluded that the arrival rate is 45 customers per hour and 1 customer processed per minute. Compare a multiple-server waiting line system with a shared queue to a multiple-server waiting line system with a dedicated queue for each server. Suppose Burger Dome establishes two servers but arranges the restaurant layout so that an arriving customer must decide which server's queue to join. Assume that this system equally splits the customer arrivals so that each server sees half of the customers. How does this system compare with the two-server…