A company that manufactures boats has the following labor-hour and wage requirements.Labor-Hour Requirements (per boat)Department- [SCutting1.0 hour1.4 hours2.5 hoursWage Requirements (per hour)PlantAssembly0.5 hour1.0 hour2.0 hoursAB$17$13 CuttingT = $12 $11 Assembly > DepartmentL$11 $8 Packaging,(c) Compute ST.Packaging0.2 hour0.2 hour0.4 hour(a) What is the labor cost for a large boat at Plant B?$(b) What is the labor cost for a medium boat at Plant A?$000000↓ ↑↓↑SmallMedium Boat sizeLarge

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Answered: A company that manufactures boats has…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Cox Electric makes electronic components and has estimated the following for a new design of one of its products: Fixed Cost = $3,000 Material cost per unit = $0.15 Labor cost per unit = $0.10 Revenue per unit = $0.65 Production Volume = 12,000 Per-unit material and labor cost together make up the variable cost per unit. Assuming that Cox Electric sells all it produces, build a spreadsheet model that calculates the profit by subtracting the fixed cost and total variable cost from total revenue, and answer the following questions. (a) Construct a one-way data table with production volume as the column input and profit as the output. Breakeven occurs when profit goes from a negative to a positive value; that is, breakeven is when total revenue = total cost, yielding a profit of zero. Vary production volume from 5,000 to 50,000 in increments of 5,000. In which interval of production volume does breakeven occur? to units
Suppose that a furniture manufacturer makes chairs, sofas, and tables. Consider the following chart of labor hours required and available. Chair Sofa Table Daily labor available (labor- hours) 3 8 =III 1 2 6 0 The profit per chair is $50, per sofa $40, and per table $80. How many pieces of each type of furniture should be manufactured each day to maximize the profit? Carpentry Finishing Upholstery 6 1 2 720 144 228
Let us consider the case of LaRosa Machine Shop (LMS). LMS is studying where to locate its tool bin facility on the shop floor. The locations of the five production stations appear in the figure below. Y 5 3 Min 2 Fabrication 1 Station Paint Paint Subassembly 1 Fabrication (x, y) = Subassembly 1 Subassembly 2 Assembly Subassembly 2 2 1 4 1 3 X Y Demand 3 2.5 2 4 2 Assembly 5 4 4 11 25 12 6 16 X = horizontal location of the tool bin Y = vertical location of the tool bin 5 In an attempt to be fair to the workers in each of the production stations, management has decided to try to find the position of the tool bin that would minimize the sum of the distances from the tool bin to the five production stations. We define the following decision variables. 6 e We may measure the straight line distance from a station to the tool bin located at (X, Y) by using Euclidean (straight-line) distance. For example, the distance from fabrication located at the coordinates (1, 4) to the tool bin located…
Objective: A farmer wants to minimize Revenue from producing crops in a greenhouse. Resources: The farmer has the following resources. – 400 hrs of labor; –300 Machine Hrs of capital; –1000 Sq Ft space of the greenhouse. Enterprises (activities/ products): The farmer could produce (Kg) –Tomato (T) and/or –Chilies (C). Price: –Tomato is OR 2/ Kg and of –Chilies is OR 1/Kg. Technical coefficients: see the picture Solving the problem using the Graphical method (Mathematical Formulation: Linear Equations)
4
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(2) A retailer determines that the cost of ordering and storing units of a product can be modelled by
A company periodically produces a part that is a basic component of an assembled product. Each time the part is run, a fixed cost of $127 is incurred. The cost to hold one unit for a week is estimated to be $1.57. Week Demand (units ) 1 36 2 20 3 110 4 18 5 - 6 22 790 For the demand (net requirements) shown above, determine the quantity and Produce units in timing of production runs using the part - period method. Produce units in week. week____. Produce units in week.
6. The start up are running business and want to minimize equipment expenses. For a particular piece of equipment, the costs can be broken into initial outlays to buy the equipment, fixed annual expenses to keep the equipment in the inventory, and repair costs which we anticipate rising as the equipment gets older. A widget press costs 10,000B to buy, and the operating expenses are 500 per year, and the total repair costs are 300t² over the first t years. What is the optimal length of time to use a widget press before replacing it? You should shown your answer algebraically and graphically.

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