A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The relevant manufacturing data are given in the tableLabor-Hours per SkiDepartmentFabricatingFinishingIf the profit on a trick ski is $50 and the profit on a slalom ski is $30, how many of each type of ski should be manufactured each day to realize a maximum proffe? What is the maximum profit?Trick Ski6Slalom Ski4CHEEDMaximum Labor-HoursAvailable per Day22848The maximum profit is $ The maximum occurs when trick skis and slalom skis are produced.

First we will construct a linear programming problem using the given informations and then we will…

Answered: A manufacturing company makes two types…

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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Perform each of the requested steps in R code. Include comments in your code to indicate which question you are answering. Please also include any written answers to questions and computed values in your code. Add appropriate amounts of white space to make your response easy to read.
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.
Use excel to make the calculations One product has a holding cost of $250 per year. This product can be shipped in either 3 or 8 day shipping, with the faster shipping costing $2 more per product. Using the slower method would be how much more expensive per product than the faster method? Auto sales over a 4-month period were forecasted as follows: 89, 98, 105, and 97. The actual results over the 4-month period were as follows: 92, 96, 101, and 100. What was the MAD of the 4-month forecast? The errors in a particular forecast are as follows: 3, -3, 4, 0, -2. What is the tracking signal for each period of the forecast?
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…
A survey looked at how long it takes a typical company to recoup an investment in research. The survey determined that 39% of the corporations took six months or less to recoup their investment. The data table below shows a sample of the time, in months, it might have taken 20 corporations to recoup their investment. Complete parts a and b. 9.0 8.0 4.0 4.0 7.0 8.0 7.0 7.0 9.5 5.5 7.5 12.0 8.5 5.5 10.5 10.0 7.5 4.5 7.0 7.5 a. Determine the number of corporations that recovered their investement in research in six months or less. There were 5 corporations that recovered their investment in research in six months or less. b. Calculate the probability of obtaining at most the number of corporations that you determined in part a if the percent of those recovering their investment is as indicated by the survey. The probability (Round to four decimal places as needed.)
Question 2 and 3
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A retailer anticipates selling 1,300 units of its product at a uniform rate over the next year. Each time the retailer places an order for a units, it is charged a flat fee of $25. Carrying costs are $26 per unit per year. How many times should the retailer reorder each year and what should be the lot size to minimize inventory costs? What is the minimum inventory cost? They should order units The minimum inventory cost is $ times a year.
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