The company emits all the CO₂ it produces into the atmosphere. Due toenvironmental regulations, they cannot emit more than 215Mg of CO₂ in thisperiod. The company wants to know how to operate its processes to generateas much revenue as possible (you may assume that there is no limit on thenumber of days a process can be run in this period). Give a linear programthat models this problem and state what each of your variables represents. Youdo not need to solve this program. An energy company uses three different processes for generating electricity. One ofthe processes uses wind energy (and so requires no fuel), while the other two consumea combination of biofuel and natural gas. Each process also requires some amountof labour and emits some amount of carbon dioxide. The amount of biofuel (inMg) and natural gas (in mcf = mega cubic feet) consumed, the labour required (inperson-hours), the carbon dioxide (CO₂) emitted (in Mg), and the power generated(in MWh) per day of operation of each process is as follows:ElectricityProcess generated203285123CO₂Labourproduced required02012132918Biofuelrequired01030Natural gasrequired01540Each MWh of electricity can be sold at £144 and there is no limit on the amountthat can be sold. Over its next planning period, the company has 320 person-hoursfor labour, 75 Mg of biofuel, and 90 mcf of natural gas available.

Answered: Image /qna-images/answer/419b8605-473e-4a19-bfd3-ab5a0da3117b.jpg

Answered: The company emits all the CO2 it…

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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After helping his neighbor mow lawns, Joe decides to start his own lawn service business. He decides to start off on a small scale until he has builds up a customer base. Joe calculates his costs to be $4,880 which includes a John Deere riding mower, a leaf blower, edger and weed eater, and miscellaneous yard tools. He figures that it will cost approximately $9 to mow each lawn and will charge on average $70 to each customer. Let x be the number of lawns mowed. (a) Write the revenue function. (b) Write the cost function. (c) Joe must mow how many lawns to break even? (d) State the cost and the revenue at the break-even point. The revenue and the cost at the break-even point are both equal to what in dollars?
An important advance in ecological research is the Theory of Island Blogeography, which demonstrates a relationship between the size of islands and the number of species of different amphibians that can be found in the islands, The scatterplot of number of species versus island area (in thousands of square miles) is nonlinear. The graphs below show the results of two different transformations of the data. Model I plots the square of the number of species against area. Model II plots the square root of the number of species against area. Linear regression analyses are provided below. Model II: VNumber of species vs. Area Model I: (Number of Species)? vs. Area 10 8000 9. ecies)
Brawdy Plastics, Inc., produces plastic seat belt retainers for General Motors at the Brawdy Plastics plant in Buffalo, New York. After final assembly and painting, the parts are placed on a comveyor belt that moves the parts past a final inspection station. How fast the parts move past the final inspection station depends upon the line speed of the conveyor belt (feet per minute). Although faster line speeds are desirable, management is concerned that increasing the line speed too much may not provide enough time for inspectors to identify which parts are actually defective. To test this theory, Brawdy Plastics conducted an experiment in which the same batch of parts, with a known number of defective parts, was inspected using a variety of line speeds. The following data were collected. Number of Line Speed Defective Parts Found 20 22 20 21 30 19 30 17 40 16 40 17 50 14 50 10 (a) Develop a scatter diagram with the line speed as the independent variable. * 25 25 25 25 20- 20 20 20 2…
need comprehensive and correct answers.This question is about optimization.
Suppose demand is given by p = 1600 − x. Find the maximum revenue.
Explain what is meant when we say that a nonlinear equation relating y and x is intrinsically linear.
Homework #8 Having the ability to monitor a process is critical in maintaining quality but also managing staff morale and/or fatigue. Please use the information below to answer the questions. Warehouse 36 produces birdhouses for Company X. Due to an illness that swept through the factory, Warehouse 36 is behind in production. In order to "catch up" to their predicted quota, the supervisor plans to work 12 hour shifts for 21 days. Over the course of the three-week period, production was steady and then began to decrease resulting in not meeting the goal of 340 units per day. Based on the information provided below, when did production begin to fall? At what point could a day off have prevented a production decrease? How do you know? Provide a visual display of data that shows the average, upper/lower class limits and daily production. (Hint - statistical process control) How could you have adjusted the schedule to reach the desired result? Days Production 1 2 3 4 5 LN34567 99 6 345 7…
The firm WebsAreUs creates and maintains Web sites for client companies. There are two types of Web sites: “Hot” sites change their layout frequently but keep their content for long times; “cool” sites keep their layout for a while but frequently change their content. Maintaining a hot site requires 1.5 hours of layout time and 2 hour for content changes. Maintaining a cool site requires 1 hour of layout time and 2 hr for content changes. Everyday WebsAreUs has 12 hrs available for layout changes and 16 hr for content changes on a hot site. Net profit is $50 for a set of changes on a hot site and $250 for a set of changes on a cool site. To maximize profit, how many of each type of site should WebsAreUs maintain daily? How, if at all, do the maximum profit and optimal policy change if the company must maintain at least two hot and 3 cool sites daily?
A certain faculty printer is shared by staff and students. Suppose that the rate of generating requests to the printer by staff is twice that of students, but that the average time to print a student printout is the same as average time for a faculty printout. If the utilization of the printer by the students is 25%, the utilization of the printer by the faculty is 50%, the overall average service time is 1 minute, what is the average time the students spend waiting for their printout (time spend in system)?
デジタル形式で段階的に解決ありがとう!! SOLVE STEP BY STEP IN DIGITAL FORMAT 5. The demand function for an electronics company's line of laptops is p = 2400 - 6q, where p is the price (in dollars) per unit when consumers demand q units (weekly). Determine the level of production that will maximize the manufacturer's total income and determine this income.
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Suppose that a company needs 1,500,000 items during a year and that preparation for each production run costs $900. Suppose also that it costs $14 to produce each item and $3 per year to store an item. Use the inventory cost model to find the number of items in each production run so that the total costs of production and storage are minimized.

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