I Example 12.8. A firm uses milling machines, grinding machines and lathes to pro-duce two motor parts. The machining times required for each part, the machining times avail-able on different machines and the profit on each motor part are given below :.Machining time reqd.for the motor part(mts)Max. time.available perweek (minutes)Type of machineIIIMilling machinesGrinding machinesLathesProfit/unit (Rs.)1042,000329006123,00010040Determine the number of parts I and II to be manufactured per week to maximize theprofit.

Let us take x to be the number of parts 1 to be manufactured and y to be the number of parts 2 to be…

Answered: Example 12.8. A firm uses milling…

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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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
Sailmaster makes high-performance sails for competitive windsurfers. Below is information about the inputs and outputs for one model, the Windy 2000. Units sold Sale price each Total labor hours Wage rate Total materials Total energy 1,211 $ 1,694 46,712 $ 13 $60,150 $ 4,100 Productivity per hour Calculate the productivity in sales revenue/labor expense. Note: Round your answer to 2 decimal places.
A certain city's power company charges their residents for electricity usage on a daily basis. There is a basic charge of 11.57 cents. For each day the first 10 kWh cost 4.81 cents per kWh and any additional kWhs are 9.69 per kWh. (A kWh, or kilowatt-hour, is a unit of energy.) (a) Complete the following table using the information provided above. kWhkWh 0 5 10 15 20 cost (dollars)cost (dollars) kWhkWh 25 30 35 40 cost (dollars)cost (dollars) (b) We can define a piecewise function f(x)f(x) where xx is the kWh used in a day and f(x)f(x) is the cost, in dollars. This function would have the form f(x)={g(x)h(x)ififx∈Ax∈Bf(x)={g(x)ifx∈Ah(x)ifx∈B What functions g(x)g(x) and h(x)h(x) make up the piecewise function f(x)f(x)? g(x)=g(x)= for A = h(x)=h(x)= for B = Hint: A and B are intervals. If an interval uses ±∞±∞ write inf or -inf . (c) Using the above function, what is the cost of 26 kWh? dollars. (d) For 3 dollars, what is the maximum kWh usage for one…
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Data in the table comes from the NASA Global Climate Change website. It gives the average globaltemperature, in Celsius, for the given year. Use both rows for your calculations. For this problem, youwill see how well year correlates with the average temperature. Let ? be the number of years since1984 and ? be the average global temperature in degrees Celsius.Year 1984 1986 1988 1990 1992 1994 1996 1998 2000Temp 0.16 0.18 0.38 0.45 0.22 0.31 0.33 0.61 0.40Year 2002 2004 2006 2008 2010 2012 2014 2016 2018Temp 0.63 0.54 0.64 0.54 0.72 0.64 0.75 1.02 0.85a. Make a scatterplot of the data. Being sure to clearly label each axis. Keep in mind howeach variable is defined. Based on this scatterplot, is a linear model reasonable for this data set?Briefly explain.b. Determine the correlation coefficient for this data. Interpret this value in context.c. Determine the coefficient of determination for this data. Interpret this value incontext.d.State the regression line for the data.e. What does the…
i. What is the total cost?
The following table shows the hot dogs bought from a street vendor over the course of eight days ("Demand"). Also shown is the temperature for each day in degrees Celsius. Complete parts a and b below.
eBook Show Me How Question Content Area Income Statements under Absorption Costing and Variable Costing Gallatin County Motors Inc. assembles and sells snowmobile engines. The company began operations on July 1 and operated at 100% of capacity during the first month. The following data summarize the results for July: Sales (4,000 units) $2,600,000 Production costs (4,350 units): Direct materials $1,218,000 Direct labor 522,000 Variable factory overhead 87,000 Fixed factory overhead 130,500 1,957,500 Selling and administrative expenses: Variable selling and administrative expenses $60,000 Fixed selling and administrative expenses 25,000 85,000 Question Content Area a. Prepare an income statement according to the absorption costing concept. Gallatin County Motors Inc.Absorption Costing Income StatementFor the Month Ended July 31 $Sales Cost of goods sold $Gross profit Selling and…
Year Governmenttax revenues(billions of dollars) Governmentexpenditures(billions of dollars) 1 240 240 2 250 245 3 260 255 4 300 320 5 325 340 What is the amount of the surplus or deficit incurred in year 1 by the government shown in the above table? Group of answer choices $0 $25 billion deficit $25 billion surplus $240 billion surplus
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