1. ASSIGNMENT METHOD A factory manager has 5 employees, and 5 tasks to be performed. Below is the effectiveness matrix that estimates the times each man would take to perform the task. Allocate the tasks to minimize the total man hours. TASKS B C 1 3 21 12 12 EMPLOYEES 8. 23 2 3 21 3 13 14 8 10 4 14 21 13 13 2 1 8
Q: The following problem refers to a closed Leontief model Suppose the technology matrix for a closed…
A: The technological equation for a closed Leontief model is given as follows.
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A: (a) An economy consists of two industries, a manufacturing industry and a banking industry. Each…
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Q: Find the technology matrix associated with this economy b) The matrix(I-A)^-1 is given by (I-A)^-1 =…
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Q: Q.I Suppose a simple economy with only an agriculture industry and a steel industry with the…
A: Let the gross production for agriculture and steel industry be respectively x and y. Then it can be…
Q: The following problem refers to a closéd LeðRE Suppose the technology matrix for a closed model of a…
A: Leontief developed the input output system and used matrices to model economic systems, basically to…
Q: Q.1 Suppose a simple economy with only an agriculture industry and a steel industry with the…
A: Consider the given matrix. ASA=0.30.20.10.4AgricultureSteel The technological equation…
Q: Below is a technology matrix representing wood as sector 1 and plastic as sector 2. [0.12 0.24] A =…
A: The solution is given below
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A: Given : Credit card Charges($) 340.24 340.77 299.94 207.67 210.31 293.35 285.68 214.18…
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Q: The technology matrix for an economy based on agriculture (A) and manufacturing (M) is A M A M = M…
A: please see the next step for solution
Q: Consider the production model x = Cx + d for an economy with two sectors and the consumption matrix…
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Q: A simplified version of input-output analysis of a national economy has the following input-output…
A: Let A be the given matrix A=0.2450.1020.0510.0990.2910.2790.4330.3720.011 Let X=AMH where H= 1 unit…
Q: ? Select a suitable option that would complete the figure matrix. 3.
A: We will use logic to find what figure comes here in the blank. To do this, we shall figure out the…
Q: A professor needs help from three student helpers to complete four tasks. Each student can only…
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Q: A simplified version of input-output analysis of a national economy has the following input-output…
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Q: 1. ASSIGNMENT METHOD A factory manager has 5 employees, and 5 tasks to be performed. Below is the…
A: As it is a multiple type question , so I am solving the first one only 1 Assignment problem 3 21…
Q: 2. A diet research project includes adults and children of both sexes. The composition of the…
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Q: Suppose that the economy of a small nation has an electronics industry, a steel industry, and an…
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Q: Find the production matrix for the following input-output and demand matrices using the open model.…
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Q: Q.1 Suppose a simple economy with only an agriculture industry and a steel industry with the…
A: Given technology matrix is A=0.30.20.10.4 The desired products are 15 units…
Q: 1 Describe the range of 3 2 as the kernel of another matrix. Justify your choice. 4
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Q: Given the input-output matrix below, find the output matrix if final demand changes to 600 for…
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Q: In matrix C, a coffee shop records the cost to produce a cup of standard Columbian coffee and the…
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Q: 2. A firm is contemplating the introductions of three products 1, 2, and 3, in its three plants A,…
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Q: A building contractor has accepted orders for 5 type A houses, 7 type B houses and 12 type C houses.…
A: Given data:- The quantity of each raw material that he needs to required for each house,…
Q: Given data set (-1,2), (0,1), (2,3), (3,5), what is the associated matrix A that helps finding the…
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Q: A professor needs help from three student helpers to complete four tasks. Each student can only…
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Q: (Recall that 1 g. = 1 gram = 1000 milligrams, and 1 kg. = 1 kilogram = 1000 grams.) Suppose the…
A: As per the question we are given the production matrix P and the required number of units. And we…
Q: Given the input-output matrix below, find the output matrix if final demand changes to 600 for…
A: Given: Input matrix and final demand matrix D = 600120500.
Q: Given the input-output matrix below, find the output matrix if final demand changes to 500 for…
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Q: The input-output matrix for a simplified economy with just three sectors (agriculture,…
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Q: An cconomy is based on Energy (E) and Transportation (T). In order to produce a dollar's worth of…
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Q: 1. Consider the following incomplete technology matrix for an economy consisting of 3 sectors: (1)…
A: Given a matrix with 1) Television shows, 2) Radio shows, 3) Podcasts as shown…
Q: The following problem refers to a closed Leontief model. Suppose the technology matrix for a closed…
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Q: We consider an example where four jobs (J1, J2, J3, and J4) need to be executed by four workers (W1,…
A: We solve the given assignment problem by Hungarian method. The solution to the given problem is…
Q: A simplified version of input-output analysis of a national economy has the following input-output…
A: (a) From The given Input - Output table : 0.433 units of households are need to produce one unit of…
Q: The input-output matrix for a simplified economy with just four sectors (natural resources,…
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Q: The technology matrix for an economy based on agriculture (A) and manufacturing (M) is A M. A M =…
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Q: Suppose a primitive economy consists of three industries: the agricultural industry, the…
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Q: Suppose that the economy of a small nation has an electronics industry, a steel industry, and an…
A: Given: A=0.60.20.20.10.40.50.10.20.2, and surplusesD=92252237
Q: A simple economy produces food (F) and housing (H). The production of $1.00 worth of food requires…
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Q: A departmental head has four subordinates and four tasks to be performed. The subordinate: differ in…
A: Tasks E F G H A 18 26 17 11 B 13 28 14 26 C 38 19 18 15 D 19 26 24 10 There are four rows…
Q: Assume that an economy is based on two industrial sectors, agriculture (A) and energy (E). The…
A: Let X, M and D be the output matrix, the technology matrix and the final demand matrix,…
Q: an effort to strengthen social outreach, Olympic Construction has offered to create a series of…
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Q: The following problem refers to a closed Leontief model. Suppose the technology matrix for a closed…
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- A manufacturer of microcomputers produces four models: Portable, Student, Office, and Network. The profit per unit on each of these four models is $500, $350, $700, and $1000, respectively. The models require the labor and materials per unit shown below. Portable Student Office Network Total Labor (hrs/week) 5 5 6 8 4000 Chassis (unit/week) 1 1 1 1 400 Disk Drive (unit/week) 2 1 2 1 300 Hard Disk (unit/week) 0 0 0 1 20 Memory Chip (unit/week) 16 8 32 64 22,000 Circuit Bds. (unit/week) 1 1 2 4 10,000 Formulate this product mix problem using linear programming.A distribution company is considering two locations for the construction of a new automated warehouse: Chicago and Dallas. Two types of automation are also being considered: bar coding and RF/ID (radio-frequency identification). The annual operating costs for each type of automation at the two locations are: Bar Coding RF/ID Location Fixed Cost Variable Cost per 1,000 units Fixed Cost Variable Cost per 1,000 units Chicago $1,800,000 $12.30 $2,700,000 $9.70 Dallas 1,500,000 13.10 2,300,000 9.40 For what range of annual product volume handled would each location and type of automation be preferred?Based on the following sensitivity report, how much should the firm be willing to pay for 87 more units of Resource_C? Variable Cells Cell Name Final Value Reduced Cost Objective Coefficient AllowableIncrease AllowableDecrease $B$2 Product_1 0 −2 5 2 1E+30 $B$3 Product_2 175 0 7 1E+30 1 $B$4 Product_3 0 −1.5 9 1.5 1E+30 Constraints Cell Name Final Value Shadow Price Constraint R.H.Side AllowableIncrease AllowableDecrease $H$9 Resource_A 0 0 100 1E+30 30 $H$10 Resource_B 525 0 800 1E+30 360 $H$11 Resource_C 700 1.97 700 180 72 (Round your answer to 2 decimal places.) Units of Resource_C: ___________
- Within a company is a (micro)economy that is monitored by the accounting procedures. In terms of the accounts, the various departments "produce" costs, some of which are internal and some of which are direct costs. This problem shows how an open Leontief model can be used to determine departmental costs. The sales department of an auto dealership charges 10% of its total monthly costs to the service department, and the service department charges 20% of its total monthly costs to the sales department. During a given month, the direct costs are $68,600 for sales and $29,400 for service. Find the total costs (in dollars) of each department. (Round your answers to the nearest whole number.)The monmouth emergency management agency is charge with providing services to the three types of clients(A,B,C) after a major crisis. A total of 1000 clients are to be served, with 455,000 available for counseling and 285,000 available for food/shelter. Type A clients require an average of 300 for counseling and 400 for food/shelter.Type B clients require an average of 600 counseling and 300 for food/shelter. Type C clients require an average of 400 for counseling and 200 for food/shelter. under there constraints, how many of each type of client can be served?TMA manufactures 37-in. high-definition LCD televisions in two separate locations: Location I and Location II. The output at Location I is at most 6500 televisions/month, whereas the output at Location II is at most 5000 televisions/month. TMA is the main supplier of televisions to Pulsar Corporation, its holding company, which has priority in having all its requirements met. In a certain month, Pulsar placed orders for 2600 and 4100 televisions to be shipped to two of its factories located in City A and City B, respectively. The shipping costs (in dollars) per television from the two TMA plants to the two Pulsar factories are as follows. To Pulsar Factories From TMA City A City B Location I $7 $4 Location II $8 $8 TMA will ship x televisions from Location I to City A and y televisions from Location I to City B. Find a shipping schedule that meets the requirements of both companies while keeping costs, C (in dollars), to a minimum. Minimize C =…
- THE PINEAPPLE HARVESTING SEASON IN BACOLOD IS SHORT , AND MOST FARMERS DELIVER THEIR TRUCKLOADS OF PINEAPPLE TO A GIANT CENTRAL STORAGE BIN WITHIN A TWO - WEEK SPAN . BECAUSE OF THIS , PINEAPPLE - FILLED TRUCKS WAITING TO UNLOAD AND RETURN TO THE FIELDS HAVE BEEN KNOWN TO BACK UP FOR A BLOCK AT THE RECEIVING BIN . THE CENTRAL BINJ IS OWNED COOPERATIVELY, AND IT IS TO EVERY FARMER'S BENEFIT TO MAKE THE UNLOADING/STORAGE PROCESS AS EFFICIENT AS POSSIBLE. THE COST OF PINEAPPLE DETERIORATION CAUSED BY UNLOADING DSELAYS AND THE COST OF TRUCK RENTAL AND IDLE DRIVER TIME ARE SIGNIFICANT CONCERNS TO THE COOPERATIVE MEMBERS . ALTHOUGH FARMERS HAVE DIFFICULTY QUANTIFYING CROP DAMAGE, IT IS EASY TO ASSIGN A WAITING AND UNLOADING COST FOR TRUCK AND DRIVER OF P 18 PER HOUR . THE STORAGE BIN IS OPEN AND OPERATED 16 HOURS PER DAY AND 7 DAYS PER WEEK DURING THE HARVEST SEASON AND IS CAPABLE OF UNLOADING , 35 TRUCKS PER HOUR ACCORDING TO AN EXPONENTIAL DISTRIBUTION . FULL TRUCKS ARRIVE ALL…PSH Construction Company (PCC) is looking at the upcoming state election. Control of both the state senate and the house are up for grabs in this election. PCC is planning to bid on a number of possible projects. Given the state laws, PCC can only work on one contract at a time. Having reviewed the candidates’ positions, PCC developed a decision matrix that identifies the possible profits for PCC if the Democrats win both the senate and the house, or if the Republicans win both the senate and the house, or if the two parties split—one party wins the senate and the other party wins the house. Their matrix is provided below. According to a Will Franklin, a psephologist from Philadephia, Pa., the probability of a Democrat win is 0.3, a Republican win is 0.5, and a split vote is 0.2. What would be the value of perfect information for Will Franklin? What option should PCC make based on Will Franklin's estimates? State Election Outcomes Projects Democrats Republican Split…Two sectors of the U.S. economy are (1) audio, video, and communication equipment and (2) electronic components and accessories. Suppose in 1998, the input-output table involving these two sectors was as follows (all figures are in millions of dollars). To Equipment Components From 6,200 600 Components 23,000 32,000 Total Output 90,000 140,000 Determine the production levels (in dollars) necessary in these two sectors to meet an external demand for $78,000 million of communication equipment and $92,000 million of electronic components. Round answers to two significant digits.
- Refer to the following sensitivity report: Variable Cells Cell Name Final Value Reduced Cost Objective Coefficient AllowableIncrease AllowableDecrease $B$2 Product_1 0 −2 5 2 1E+30 $B$3 Product_2 175 0 7 1E+30 1 $B$4 Product_3 0 −1.5 9 1.5 1E+30 Constraints Cell Name Final Value Shadow Price Constraint R.H.Side AllowableIncrease AllowableDecrease $H$9 Resource_A 0 0 100 1E+30 100 $H$10 Resource_B 525 0 800 1E+30 275 $H$11 Resource_C 700 1.75 700 366.6666667 700 If the objective function coefficient for Product_1 were increased to a value of 8, which of the following would be TRUE? The optimal solution would change. The optimal objective function value would stay the same. Product_1 would enter the solution (the final value of the variable Product_1 would be greater than zero). A. 1 only B. 2 only C. 3 only D. 1, 2 and 3 E. Only 1 and 3Cecille 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.A biologist wonders if the life span of bats will be affected by two new food sources from invasive species moving into an area. To conduct the experiment, the biologist needs three treatment groups: a group where the diet will not include invasive species (control), a group where the diet will include one invasive species (treatment group 1), and another group where the diet will include the other invasive species (treatment group 2). The biologist chooses the first cloud-free night and catches the first 18 bats that fly out of a cave, placing them into three equal groups of six bats. To decide the treatment for each group, the biologist places three slips of paper labeled control, treatment group 1, and treatment group 2 in a hat and randomly selects 2 slips of paper. The first piece of paper gives the treatment for the first group, the second piece of paper gives the treatment for the second group, and the remaining treatment is given to the third group. Which component is…