Source A B C Demand 1 $2.2 2.4 2.1 350 Destination 2 3.4 3.2 3.6 400 1.9 1.8 2.1 200 Supply 200 300 450
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- The Megabuck Hospital Corp. is to build a state-subsidized nursing home catering to homeless patients as well as high-income patients. State regulations require that every subsidized nursing home must house a minimum of 750 homeless patients and no more than 900 high-income patients in order to qualify for state subsidies. The overall capacity of the hospital is to be 1,800 patients. The board of directors, under pressure from a neighborhood group, insists that the number of homeless patients should not exceed twice the number of high-income patients. Due to the state subsidy, the hospital will make an average profit of $9,500 per month for every homeless patient it houses, whereas the profit per high-income patient is estimated at $8,000 per month. How many of each type of patient should it house in order to maximize profit? HINT [See Example 3.] (If an answer does not exist, enter DNE.) high-income patients: homeless: profit:The Megabuck Hospital Corp. is to build a state-subsidized nursing home catering to homeless patients as well as high-income patients. State regulations require that every subsidized nursing home must house a minimum of 760 homeless patients and no more than 800 high-income patients in order to qualify for state subsidies. The overall capacity of the hospital is to be 2,100 patients. The board of directors, under pressure from a neighborhood group, insists that the number of homeless patients should not exceed twice the number of high-income patients. Due to the state subsidy, the hospital will make an average profit of $9,800 per month for every homeless patient it houses, whereas the profit per high-income patient is estimated at $7,800 per month. How many of each type of patient should it house in order to maximize profit? (If an answer does not exist, enter DNE.) high-income patients homeless patients profitThe Megabuck Hospital Corp. is to build a state-subsidized nursing home catering to homeless patients as well as high-income patients. State regulations require that every subsidized nursing home must house a minimum of 700 homeless patients and no more than 620 high-income patients in order to qualify for state subsidies. The overall capacity of the hospital is to be 1,800 patients. The board of directors, under pressure from a neighborhood group, insists that the number of homeless patients should not exceed twice the number of high-income patients. Due to the state subsidy, the hospital will make an average profit of $13,000 per month for every homeless patient it houses, whereas the profit per high-income patient is estimated at $9,000 per month. How many of each type of patient should it house in order to maximize profit? Group of answer choices A)700 homeless patients and 1,100 high-income patients B)1,200 homeless patients and 600 high-income patientsC)700 homeless patients…
- The Megabuck Hospital Corp. is to build a state-subsidized nursing home catering to homeless patients as well as high-income patients. State regulations require that every subsidized nursing home must house a minimum of 700 homeless patients and no more than 620 high-income patients in order to qualify for state subsidies. The overall capacity of the hospital is to be 1,800 patients. The board of directors, under pressure from a neighborhood group, insists that the number of homeless patients should not exceed twice the number of high-income patients. Due to the state subsidy, the hospital will make an average profit of $13,000 per month for every homeless patient it houses, whereas the profit per high-income patient is estimated at $9,000 per month. How many of each type of patient should it house in order to maximize profit?Federated Electronics, Ltd., manufactures display screensand monitors for computers and televisions, which it sellsto companies around the world. It wants to construct a new warehouse and distribution center in Asia to serve emerg-ing markets there. It has identified potential sites in the port cities of Shanghai, Singapore, Pusan, Kaohsiung, and HongKong and has estimated the possible revenues for each(minus construction costs which are higher in some citieslike Hong Kong). At each site the projected revenues are primarily based on these factors, (1) the economic condi-tions at the port including the projected traffic, infrastruc-ture, labor rates and availability; and expansion and modernization; and (2) the future government situationwhich includes the political stability, fees, tariffs, duties,and trade regulations. Following is a payoff table thatshows the projected revenues (in $ billions) for six years given the four possible combinations for positive and nega-tive port and…A bus system needs to be set up from Village of Westmont to Hinsdale (2.5 miles), then continues to Berwyn (8.5 miles), and finally terminates its run to Cicero (1 mile). The operating time is 55 minutes, the policy headway is 30 minutes, and the minimum terminal time is 19 minutes (including 6 minutes terminal time at each location of Clarendon Hills and Berwyn, and 7 minutes at Cicero). It has been established that the peak-hour demand is 500 passengers per hour and 50-seater buses are available, which can safely accommodate 25 standees. Assume the load factor is 0.8. Design the bus system
- The government of Grenada wishes to rebuild the West coast road that leads to the north of the island to help alleviate traffic congestion and to provide users with a safer road network. The government of Grenada has approached two (2) contractors for an estimate. They are required to submit a proposal that details the cost combination of labour (L), machinery (M), and technology (T) in achieving their expected total cost, total profit, and total revenue. Contractor 1 Two labour, four machinery, and three technology will result in a total cost of thirty-three dollars. While one labour, two machinery, and one technology give a total profit of fifteen dollars. Lastly, ten labour, five machinery, and six technologies result in total revenue of eighty-three dollars. Contractor 2 No Proposal was submitted. a) From Contractor I's proposal, derive three (3) simultaneous equations. b) From the answer to part a) above, set these equations in matrix form c) Given that the government of Grenada…The government of Grenada wishes to rebuild the West coast road that leads to the north of the island to help alleviate traffic congestion and to provide users with a safer road network. The government of Grenada has approached two (2) contractors for an estimate. They are required to submit a proposal that details the cost combination of labour (L), machinery (M), and technology (T) in achieving their expected total cost, total profit, and total revenue. Contractor 1 Two labour, four machinery, and three technology will result in a total cost of thirty-three dollars. While one labour, two machinery, and one technology give a total profit of fifteen dollars. Lastly, ten labour, five machinery, and six technologies result in total revenue of eighty-three dollars. Contractor 2 No Proposal was submitted. From Contractor 1’s proposal, derive three (3) simultaneous equations. b) From the answer to part a) above, set these equations in matrix form c) Given that the government of Grenada…A Leading manufacturer of Action Figures is about to introduce four new Action Figures. The accompanying table summarizes price and cost data, combined fixed costs equal $650,000. A marketing research study predicts that for each unit sold of Noyan, 2 units of Dogan, 3 units of Bamsi and 4 units of Turgut will be sold. Action Figures Turgut Bamsi Dogan Noyan Selling Price (in dollars) 35 26 24 16 Variable Cost/unit (in dollars) 17 12 12 11 Table 1 How many product mix units must be sold to break even? How does it translate into sales of individual games?
- J. D. Williams, Inc. is an investment advisory firm that manages more than $120 million in funds for its numerous clients. The company uses an asset allocation model that rec- ommends the portion of each client’s portfolio to be invested in a growth stock fund, an income fund, and a money market fund. To maintain diversity in each client’s portfolio, the firm places limits on the percentage of each portfolio that may be invested in each of the three funds. General guidelines indicate that the amount invested in the growth fund must be between 20% and 40% of the total portfolio value. Similar percentages for the other two funds stipulate that between 20% and 50% of the total portfolio value must be in the income fund and that at least 30% of the total portfolio value must be in the money market fund. In addition, the company attempts to assess the risk tolerance of each client and adjust the portfolio to meet the needs of the individual investor. For example, Williams just con- tracted…Cecille Paper Company uses softwood and hardwood pulp as basic materials for producing converter-grade paper. Hardwood is 80% pulp fiber and 20% pulp binder, while softwood is 50% pulp fiber and 50% pulp binder. The cost per pound for hardwood and softwood is $.50 and $.40, respectively. The company s quality control expert specifies that in order for the product to meet quality standards, each batch must contain at least 12,000 pounds of pulp fiber and at least 6,000 pounds of pulp binder. Because of equipment limitations, the size of a batch cannot exceed 24,000 pounds. The Production Department recently received a new standard from the Cost Department, allowing $8,200 per batch. The production manager feels that this amount is too low, because such costs have never been less than $8,400. Required: Using the graphic method, determine the hardwood and softwood mix necessary to minimize the cost per batch.In the Erlang loss model, system A has 5 servers and an implied utilization of 125 percent,while system B has 15 servers and an implied utilization of 125 percent. Which of thefollowing statements is true?a. System A has the higher utilization because it has fewer servers relative to the potentialdemand.b. The two systems have the same utilization because they have the same implied utilization.c. System B has a higher utilization because the fraction of lost demand is lower in that system.d. More information is needed to determine which system has the higher utilization.