A company is in the process of preparing a budget for launching a new product. The following table provides the associated activities and their durations. Activity Predecessor(s) Duration (days) А: Forecast sales volume 10 --- Study competitive market Design item and facilities Prepare production schedule Estimate cost of production Set sales price B: 7 --- C: A D: C 3 E: D В, Е Е, F F: 1 G: Prepare budget 4

A company is in the process of preparing a budget for launching a new product. The following table provides the associated activities and their durations. Activity Predecessor(s) Duration (days) А: Forecast sales volume 10 --- Study competitive market Design item and facilities Prepare production schedule Estimate cost of production Set sales price B: 7 --- C: A D: C 3 E: D В, Е Е, F F: 1 G: Prepare budget 4

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 23EQ: 23. Consider a simple economy with just two industries: farming and manufacturing. Farming consumes...

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23. Consider a simple economy with just two industries: farming and manufacturing. Farming consumes 1/2 of the food and 1/3 of the manufactured goods. Manufacturing consumes 1/2 of the food and 2/3 of the manufactured goods. Assuming the economy is closed and in equilibrium, find the relative outputs of the farming and manufacturing industries.
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.
A private investment club has $200,000 earmarked for investment in stocks. To arrive at anacceptable overall level of risk, the stocks that management is considering have been classifiedinto three categories: high risk, medium risk, and low risk. Management estimates that high-riskstocks will have a rate of return of 15%/year; medium-risk stocks, 10%/year; and low-risk stocks,6%/year. The members have decided that the investment in low-risk stocks should be equal tothe sum of the investments in the stocks of the other two categories. Determine how much theclub should invest in each type of stock if the investment goal is to have a return of$20,000/year on the total investment. (Assume that all the money available for investment isinvested.)Note: Develop the linear system of equations from the above theory and solve the system byGauss Jordon Method.
A large St. Louis feed mill, Robert Orwig Processing, prepares its 6-month aggregate plan by forecasting demand for 50-pound bags of cattle feed as follows: January, 1,000 bags; February, 1,200; March, 1,250; April, 1,450; May, 1,400; and June, 1,400. The feed mill plans to begin the new year with no inventory left over from the previous year and backorders are not permitted. It projects that capacity (during regular hours) for producing bags of feed will remain constant at 800 until the end of April, and then increase to 1,100 bags per month when a planned expansion is completed on May 1. Overtime capacity is set at 300 bags per month until the expansion, at which time it will increase to 400 bags per month.
A manufacturing firm has four factories from which product is shipped to three warehouse for onward distribution to stores. The following table reports a partial shipment plan to meet demand. The partial shipment plan, the total supplies at the factories and the required demands at the warehouses are reported in the table below. Factory Warehouse A Warehouse B Warehouse C Supply Factory 1 70 210 100 380 Factory 2 110 90 Answer 278 Factory 3 200 110 220 530 Factory 4 120 90 80 290 Demand 500 500 478 For the above shipment plan to be feasible, what is the number of units shipped from Factory 2 to Warehouse C? Report the number within the table.
Cane Company manufactures two products called Alpha and Beta that sell for $210 and $172, respectively. Each product uses only one type of raw material that costs $8 per pound. The company has the capacity to annually produce 128,000 units of each product. Its average cost per unit for each product at this level of activity are given below: Alpha Beta Direct materials $ 40 $ 24 Direct labor 38 34 Variable manufacturing overhead 25 23 Traceable fixed manufacturing overhead 33 36 Variable selling expenses 30 26 Common fixed expenses 33 28 Total cost per unit $ 199 $ 171 The company considers its traceable fixed manufacturing overhead to be avoidable, whereas its common fixed expenses are unavoidable and have been allocated to products based on sales dollars. 7. Assume that Cane normally produces and sells 58,000 Betas per year. What is the financial advantage (disadvantage) of discontinuing the Beta product line?
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.)
First Securities, Inc., an investment firm, has $380,000 on account. The chief investment officer would like to reinvest the $380,000 in a portfolio that would maximize return on investment while at the same time maintaining a relatively conservative mix of stocks and bonds. The following table shows the investment opportunities and rates of return. Investment Opportunity Rate of Return Municipal Bonds (X1) 0.095 High Tech Stock (X2) 0.146 Blue Chip Stock (X3) 0.075 Federal Bonds (X4) 0.070 a) The Board of Directors has mandated that at least 60 percent of the investment consist of a combination of municipal and federal bonds, at least 25 percent Blue Chip Stock, no more than 30 percent High Tech and Blue Chip Stock, and no more than 15 percent High Tech Stock. Based on above problem, how many constraints are in this problem? A) 3 B) 4 C) 5 D) 2 b) Based on part a, which of the…
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.
A line of LRT with five (5) stations will be constructed in a city. A forecast passenger demand is given below: Depart Station Boarding Station 1 2 3 4 5 1 0 1600 10000 2000 250 2 230 0 11000 2071 230 3 60 1400 0 1500 170 4 250 1700 10400 0 250 5 300 1900 12000 2500 0 (a) Compute the number of passengers between each pair of the stations for both directions.(b) In this LRT project, headway must not be less than 120 seconds and must not be greater than 300 seconds. All stations are designed to cater a train of 6 couches. The capacity of each couch is 280 passengers. Based on the computed maximum passengers in (a), compute headway possibilities and corresponding number of couches per train. You may use rail utilisation factor of 0.75 and load factor of 0.9.
Company ABC has the following information. Please calculate the Z-core for 2021 and 2022 and provide a comment on its performance. Variables 2022 2021 X1(net working capital /total asset) 0.56 0.175 X2(retained earnings/total asset) -0.12 0.08 X3(EBIT/total assets) 0.56 0.69 X4(market value of equity/book value of total liability) 1.2 0.96 X5(sales/total asset) 0.78 0.63 Z-score (1.2X1+1.4X2+3.3X3+0.6X4+1X5) 3.852 3.805