Suppose that each firm in a perfectly competitive market has a cost of TC = 75 + 500Q - 5Q2 + 0.5Q3 Determine if this is a short-run or long-run cost function (motivate):
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Suppose that each firm in a perfectly competitive market has a cost of TC = 75 + 500Q - 5Q2 + 0.5Q3
Determine if this is a short-run or long-run cost function (motivate):
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- Assume that the shortest distance between nodes a, b, c, and d, to node y and the costs from node x to nodes a, b, c, and d are given below: Day = 5 Dby = 6 Dcy = 4 Ddy = 3 cxa = 2 cxb = 1 cxc = 3 cxd = 1 What is the shortest distance between node x and node y, Dxy, according to the Bellman-Ford equation?Suppose two mobile phone companies sale their internet packages as 256KB connection for Rs.1500 per month, 512KB connection for Rs. 1900 per month, 1MB connection for Rs. 2800 per month and 4MB connection for Rs. 3800 per month. The table below summarizes the number of connections both companies have sold per month 512KB 1MB 4MB 256 KB 175 Company A Company B 60 22 8. 250 180 65 23 What is total annual revenue of Company A? What is total quarterly reveue of Company B?Problem 3: Location Selection for EXP Logistics EXP logistics is a third party logistic company that operates several distribution centers at multiple locations. The company recently decided to expand its warehouse coverage in Texas and planned to construct new warehouses in several candidate sites. The company has two types of warehouses: Mega warehouses and Regular warehouses. Mega warehouses have larger capacity than Regular warehouses. There are 8 different sites available for the company to build new warehouses. The company can build either type of warehouses at a given site. However, the company can build at most one warehouse at any location. The following table summarizes the estimated net present value (NPV) of the cash flows (in million) resulting from locating each type of warehouse at each of the sites and also indicates which sites are within 20 miles of each other. Site 1 2 3 4 5 6 7 8 Mega Warehouse NPV Regular Warehous NPV Other Sites within 20 miles 2,3,5,6 1,3,4,7…
- Suppose you run k- means using k=3 and k=5. You find that the cost function J is much higher for k=5 than for k=3. What can you conclude for the reason and suggest a solution? Use the editor to format your answerI would like to model a sales process in R by using the binomial distribution. How can I do that? My initial values are: #Target Grouptarget_group <- 1000 #Leadslead_rate <- 0.1lead_cost <- 5 #Appointmentsappointment_rate_assistant <- 0.15appointment_cost <- 50 #Conversionsconversion_rate_representative <- 0.8conversion_cost <- 100# Traditional Marketing Metrics (Classical KPIs - Base)current_month_revenue <- 50000 # Current month revenuelast_year_month_revenue <- 45000 # Revenue for the same month last yeartarget_sales <- 800000 # Target sales per Month# Customer Base Metrics (Existing Customers)average_order_value_existing <- 10000 #Average order valueretention_rate <- 0.8 #Retention rate# New Customer Acquisition Metricsaverage_order_value_new <- 15000Based on Spencer et al. (1990). When you lease 800 phone numbers from AT&T for telemarketing, AT&T uses an optimization model to tell you where you should locate calling centers to minimize your operating costs over a 10-year horizon. To illustrate the model, suppose you are considering seven calling center locations: Boston, New York, Charlotte, Dallas, Chicago, Los Angeles, and Omaha. You know the average cost incurred if a telemarketing call is made from any of these cities to any region of the country. You also know the hourly wage that you must pay workers in each city. This information is listed in the file P06_85.xlsx. Assume that an average call requires four minutes of labor. You make calls 250 days per year, and the average number of calls made per day to each region of the country is listed in the same file. The cost of building a calling center in each possible location is also listed in this file. Each calling center can make up to 5000 calls per day. Given this…
- Imagine you are the leader of an international gang of smugglers. One of your gang member (John) has a very expensive diamond that he wants to deliver it to you through a series of middlemen. Each middleman will charge some amount to deliver the diamond to the next middleman. You want to get the diamond at a minimum cost. So you decide to tell John how exactly to deliver the diamond to you as shown in the table below. Since you are an underworld boss who has studied Data Structures and Algorithms, you decide to solve how the diamond will be delivered to you by modeling the problem as a graph and then applying an algorithm to it. Tell me the following Create a graph for this problem. (1) What algorithm will apply on it? Where will you start it from? (1) ii. Redraw the graph and highlight (make bold) the solution, i.e. make the edges and vertices of the solution. (3) (Non-anonymous questionO) * L i. ii. Person 1 | Person 2 John Brad John Micheal John George Tom Brad You Tom You Micheal…Activity A B с D E F G H I J K L M Required Predecessor (None) (None) (None) A A, B C A D, E, F с D, E, F G, H D, E, F I, J Normal Time 8 5 6 4 6 7 5 8 9 6 4 6 4 Normal Cost $4000 1500 2500 1800 1000 2000 3000 4500 6000 6000 2000 3000 8000 1. Show your network diagram. 2. Find the normal completion time and the critical path. 3. Determine the schedule that minimizes your total cost for this project Crash Time 6 4 4 3 5 5 53 3 54 43 4 3 3 32 2 Crash Cost $6000 2000 3000 2000 1200 3000 6000 9000 10000 8000 2600 9000 12000Assignment Consider the Bayes network below, defined over four Boolean variables X1 X2 X3 Х4 • How many parameters are needed to define P(X1, X2, X3, X4) for this Bayes Net? • Give the formula that calculates P(X1 = 1, X2 = 0, X3 = 1, X4 = 0) using only the Bayes net parameters. Use notation like P(X1= 0|X2 = 1, X4 = 0) to refer to each Bayes net parameter you use in your formula. • Give the formula that calculates P(X1=1,X4=0) using only the Bayes net parameters. • Give the formula that calculates P(X2=1|X3 = 0) using only the Bayes net parameters.
- Borges Machine Shop, Inc., has a 1-year contract for the production of 75,000 gear housings for a new off-road vehicle. Owner Luis Borges hopes the contract will be extended and the volume increased next year. Borges has developed costs for three alternatives. They are general-purpose equipment (GPE), flexible manufacturing system (FMS), and expensive, but efficient, dedicated machine (DM). The cost data follow: Annual contracted units Annual fixed cost Per unit variable cost General-Purpose Equipment (GPE) 75,000 $100,000 $18.00 Flexible Manufacturing System (FMS) 75,000 $250,000 $14.50 Dedicated Machine (DM) 75,000 $500,000 $13.00Consider the following maximum-claim reusable resource system with four processes (PO, P1, P2, P3) and three resource types (RO, R1, R2). The maximum claim matrix C is given by: R1 R2 PO 4 1 4 P1 3 1 4 P2 5 6 13 P3 1 1 6 where Cij denotes the maximum claim of process i for resource j. The total number of units of each resource type is given by the vector R1 8 R2 15 The current allocation of resources is given by the matrix A RO 5 PO P1 P2 P3 RO 0 2 1 1 RO R1 1 0 4 0 R2 4 3 1 3 Answer the following questions about the system (you do not need to draw any graphs): 1) Determine if the current state of the system is safe. Explain your reasoning and calculation path.QUESTION 2 CU, Incorporated (CUI), produces copper contacts that it uses in switches and relays. CUI needs to determine the order quantity, Q, to meet the annual demand at the lowest cost. The price of copper depends on the quantity ordered. Annual demand is 25,000 kilograms per year. Holding cost is 20 percent per unit per year of the price of copper and the Ordering cost is $30.00. Table 2 that follows, shows the quantity discount schedule price-break: Table 2- Quantity Discount Schedule Quantity (kg) 5,000 and greater than 5,000 3,750 to 4,999 2,500 to 3,749 1,250 to 2,499 1 to 1,249 Price ($) 0.38 0.39 0.40 0.41 0.42 Determine the optimal order size that you would order if you were purchasing copper from CUI.