At an Oregon fiber-manufacturing facility, an analyst estimates that the weekly number of pounds ofacetate fibers that can be produced is given by the function:z = f(x, y) = 15000x + 5000y + 10x?y – 5æ³Where:z = the weekly # of pounds of acetate fiberx = the # of skilled workers at the planty = the # of unskilled workers at the plantDetermine the following:A) The weekly number of pounds of fiber that can be produced with 19 skilled workers and 35unskilled workers.Answer =poundsB) Find an expression (fz) for the rate of change of output with respect to the number of skilledworkers.Answer = f, =C) Find an expression (fy) for the rate of change of output with respect to the number of unskilledworkers.Answer = fuy = D) Find the rate of change of output with respect to skilled workers when 19 skilled workers and 35unskilled workers are employed. (Your answer will be a number.)Answer =weekly pounds per skilled workerE) Find the rate of change of output with respect to unskilled workers when 19 skilled workers and35 unskilled workers are employed. (Your answer will be a number.)Answer =weekly pounds per unskilled worker

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Answered: At an Oregon fiber-manufacturing…

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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Problem: After being built, a car must be painted. The revenue, R, in dollars, when x cars are painted can be modelled by the function R(x) = 1000x – 0.01x2. a) Determine the average rate of change of revenue when painting 20 to 50 cars. b) Estimate the instantaneous rate of change of revenue after painting 50 cars. c) Interpret the results found in parts a) and b).
The reaction of the body to a dose of medicine can sometimes be represented by an equation of the form R = M² where C is a positive constant and M is the amount of medicine absorbed in the blood. If the reaction is a change in blood pressure, R is measured in millimeters of mercury. If the reaction is a change in temperature, R is measured in degrees, dR . This derivative, as a function of M, is called the sensitivity of the body to the medicine. dM and so on. Find dR dM = Ask my instructor F3 # 3 DII F4 4 8 F5 % 5 OL F6 A 6 F7 W & 7 8 F8 *** 8 F9 prt sc 9 F10 home ) F11 O Clear all end F12 insert + Check answer = 49 3:58 PM D 10/9/2022 delete backsp
Consider the Cobb-Douglas model for a certain manufacturing plant, 60H0.610.4 W where W is the number of washing machines produced per year, I is the annual investment in capital (in thousands of dollars), and H is the total number of work hours. The annual budget, that pays capital and employees, must be 1 million dollars. Also, employees are paid 10 dollars per hour. Work hours: = Find the number of work hours and annual capital investment that will maximize production. machines. hours. Capital Investment: dollars (in thousands) How many washing machines are produced when production is maximized:
In a test of military ordnance, a large mumber of bombs were dropped on a target from various heights. The initial velocity of the bombs in the direction of the ground was 0. Let y be the height in meters from which a bomb is dropped, let x be the time in seconds for the bomb to strike the ground, let w = x, and let y= V. The relationship between x and y is given by y = 4.9x. For each of the following pairs of variables, state whether the correlation coefficient is an appropriate summary. a x andy b. w and y C x and v d. wand v e. Inxand Iny
the supply function for luminar lamps is p=0.1x2+o.5x+15, where x is measured in thousands of lamps and p is the unit price in dollars. How many lamps will the manufacturer be willing to supply at a price of $20
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In a study conducted at Dartmouth College, mice with a particular type of cancerous tumor were treated with a chemotherapy drug called Cisplatin. If the volume of one of these tumors at the time of treatment is Vo, then the volume of the tumor t days after treatment is modeled by the function V(t) = = Vo(0.99e- + 0.01e0.239t). -0.1216t 1. Set Vo = 3 and plot V(t) over the interval 0 ≤ t ≤ 16. Appropriately adjust the viewing window to see the behavior of V(t) and sketch the graph below. 2. From the graph, estimate the time at which the volume of the tumor decreased to half its original amount. There are two such times, record each to the nearest whole number. 3. With Vo = 3, write down the equation whose solution gives the time at which the tumor is half its original volume. (Re)write the equation with zero in the right-hand side. 4. Using one of your answers from 2. as to and your equation from 3., apply two steps of Newton's method to better approximate this time. (Round to 3 decimal…
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The amount of vegetation eaten in a day by a grazing animal is a function of the amount V of food available (measured as biomass in units such as pounds per acre). This relationship is called the functional response. If there is little vegetation available, the daily intake will be small, since the animal will have difficulty finding and eating the food. As the food biomass increases, so does the daily intake. Clearly, though, there is a limit to the amount the animal will eat, regardless of the amount of food available. This maximum amount eaten is the satiation level. In addition to the kangaroos, the major grazing mammals of Australia include merino sheep and rabbits. For sheep the functional response is S = 2.8 - 2.8e -a.aiv and for rabbits it is H= 0.2 - 0,2e -0.00sV Here S and H are the daily intake (measured in pounds), and Vis the vegetation biomass (measured in pounds per acre). (a) Find the satiation level for sheep and that for rabbits. (Round your answers to three decimal…

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