In the production process of a company, 4 units of a certain input are used daily. It happens that the different formulations of this input can affect the yield of the process as well as the level of environmental pollution. On a given day the company has 40 units of this input in s
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In the production process of a company, 4 units of a certain input are used daily. It happens that the different formulations of this input can affect the yield of the process as well as the level of environmental pollution. On a given day the company has 40 units of this input in stock and they can be classified according to the table below:
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- Two firms, Gene's Gloves and Wally's Wallets, have factories near a lake. Both firms use a chemical for tanning leather. Some of this chemical runs into the lake. Each year Gene's Gloves dumps 15,000 gallons and Wally's Wallets dumps 25,000 gallons into the lake. A new study has found that fish and other wildlife are negatively impacted by this chemical. The government has decided to cap the amount that the factories can dump into the river at 10,000 gallons per year. For an addition $1 per gallon, Wally's Wallets is able to substitute each gallon of harmful chemical for one gallon of a harmless alternative. Gene's Gloves needs to use the harmful but more effective chemical for production. It costs $3 per gallon to safely dispose of the harmful chemical. Assume that Gene's Gloves and Wally's Wallets maintain the same level of production under the new environmental restrictions. 1. Suppose the government gives each firm the right to dump 5,000 gallons each. If the firms cannot buy or…Zaphod Beeblebrox is mixing drinks that contain three ingredients: Ol' Janx Spirit (ingredient A), water from the seas of Santraginus V (ingredient B) and Arcturan Mega-gin (ingredient C). On his shelf he has three mixtures M1, M2 and M3 containing ingredients A, B and C. The table below is showing the amounts in decilitres of ingredients A, B and C that are contained in 11 of each of the mixtures (11=10dcl). M1 M2 M3 ingredient A 3 ingredient B 3 4 1 ingredient C 5 3 (a) Zaphod made a new mixture using 31 of M1, 21 of M2 and 11 of M3. Determine the amount of each type of ingredient in this mixture. (b) A recipe for Pan Galactic Gargle Blaster requires a mixture that contains 2dcl of ingredient A, 3dcl of ingredient B and 5dcl of ingredient C. Zaphod wants to prepare it using mixtures M1, M2 and M3. What is the minimal and what is the maximal amount of mixture M3 that he can use?Assume that you are an employee in a Pizza Bakery and are given a list of ingredients that can be used in a pizza along with a list of their costs and sell prices. The index of an ingredient in the ingredient list is the same as its cost index in the costs list and its price index in the price list. The inputs look like this:Ingredients = {Cheese, Tomato, Basil, Green Pepper, Salami, Ham, Bacon, Olive}Costs = {2 , 1 , 1 , 1.5 , 3 , 4 , 8, 1}Price = {3 , 2 , 0, 0.5 , 1 , 7 , 7 , 1.5}We can say that Cheese costs $2 and if a pizza contains cheese we charge an additional 3$. Unfortunately, your manager is kind of an annoying person and puts a rule which as follows: If a customer asks for ingredient index x and ingredient index y where x < y, the customer must add the other ingredients between index x and y.For example, if a customer asks for Basil and Ham, the customer must also buy Green Pepper and Salami.The manager tells you to write a program that finds the sequence of ingredients…
- Rivers in North Carolina contain small concentrations of mercury that can accumulate in fish over their lifetimes. The concentration of mercury in fish tissue can be obtained by catching fish and sending samples to a lab for analysis. A study was conducted on fish from the Waccamaw and Lumber Rivers to investigate mercury levels in tissues of largemouth bass. At several stations along each river a group of fish were caught, weighed and measured; in addition a filet from each fish was sent to a lab so that the tissue concentration of mercury could be determined. In all, 171 fish were caught at 15 different research stations along the Waccamaw and Lumber Rivers. Data from fish caught at one of these stations is shown in the following table: length weight 1616 47.0 1862 48.7 2855 55.7 1199 45.2 1320 44.7 1225 43.8 870 38.5 1455 45.8 1220 44.0 1033 40.4 Compute the correlation between length and weight for these fish. (Assume the correlation conditions have been…A metallurgist is designing an experiment to determine the effect of flux, base metal, and energy input on the hardness of a weld. She wants to study four different fluxes, two different base metals, and three different amounts of energy input. If each run of the experiment involves a choice of one flux, one base metal, and one amount of energy input, how many different runs are possible?Please answer this. Thanks!
- Three different corrosion-resistant coatings are being considered for use on iron pipes. Ten pieces of pipe are marked off in six equal segments. For each pipe, two segments received coating A, two received coating B, and the remaining two received coating C. The pipes were placed in a corrosive environment for a period of time; then the depth of the deepest pit (in mm) caused by corrosion was measured for each segment on each pipe. The effect of interest is the coating; the pipe is a blocking factor, and there were two replications on each pipe. The following sums of squares were calculated: sum of squares for blocks = 11.2, sum of squares for treatments = 4.8, sum of squares for interactions = 18.4, total sum of squares = 44.7. a) Construct an ANOVA table. You may give ranges for the P-values. b) Are the assumptions for a randomized complete block design satisfied? Explain. c) Does the ANOVA table provide evidence that mean pit depth differs among coatings? Explain.A production line of a mechanical spare part includes three stages such as moulding, finishing and packing. As the production engineer, you are required to improve the efficiency of the process immediately to cater a relatively large order which needs to be served in a limited time. On the shutdown day you only have resources and time to do detailed maintenance in only one component. In order to do that you are required to identify the component(stage) which affect the most to the total time consumed. Following details were obtained in a cycle time analysis of most recent week. Using these details find the most significant component by performing a correlation analysis. Day 1 Day 2 Day 3 Day 4 Day 5 Day 6 Day 7 Average 31 35.5 31 40.5 34 39 37.5 time for Total process Average 15 20 17 25 18 24 20 time for Moulding Average 4.5 7 6. 7 5.5 time for finishing Average 10 11 9. 8.5 10 12 time for packing Factory manager claims that there is a positive relationship between moulding time and…QUESTION 11 Read through the scenario and determine what kind of problem this is. Riverside Oil Company in eastern Kentucky produces regular and supreme gasoline. Each barrel of regular sells for $21 and must have an octane rating of at least 90. Each barrel of supreme sells for $25 and must have an octane rating of at least 97. Each of these types of gasoline are manufactured by mixing different quantities of the following three inputs: Input Cost per Barrel Octane Rating Barrels Available (in 1000s) 1 $17.25 100 150 $15.75 87 350 3 $17.75 110 300 Riverside has orders for 300,000 barrels of regular and 450,000 barrels of supreme. How should the company allocate the available inputs to the production of regular and supreme gasoline to maximize profits? O LP O Network modeling O Multiple Objective Linear Programming O Regression
- A system has four independent and identical units in parallel. Each unit’s failure rate is 0.0005 failures/h. Calculate the system reliability, if at least two units must operate normally for the system success during a 100-h mission.On March 11, 2011, Japan suffered an earthquake and tsunami that caused a disastrous accident at the Fukushima nuclear power plant. Among many other results, amounts of iodine-131 that were 27 times the government limit were found in a sample of spinach 60 miles away.† Now, 27 times the government limit of iodine-131 is 54 thousand becquerels per kilogram.† The following table shows the amount I, in thousands of becquerels per kilogram, of iodine-131 that would remain after t days. t = time, in days I = amount ofiodine-131 0 54.00 1 49.52 2 45.41 3 41.64 4 38.18 (a) Show that the data are exponential. (In this part and the next, round to three decimal places.) Because t increases by 1 each time, to show that the data are exponential, we must show that the successive ratios (rounded to three decimal places) are the same. Because all of the ratios are equal to , the data are exponential. (b) Find an exponential model I that shows the amount of iodine-131…Integrate the following. 4x-1-1 4. S 4x-1