(2) A study indicates that spending money on pollution control is effective up to a point but eventually becomes wasteful. Suppose it is known that when x million dollars is spent on 100/ 0.03x +9 controlling pollution, the percentage of pollution removed is given by P(x) = (i) At what rate is the percentage of pollution removal P(x) changing when 16 million dollars is spent? Is the percentage increasing or decreasing at this level of expenditure?
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- A researcher studying the effects of a new fertilizer on crop yields plansto carry out an experiment in which different amounts of the fertilizerare applied to 100 different 1-acre parcels of land. There will be fourtreatment levels. Treatment level 1 is no fertilizer, treatment level 2 is50% of the manufacturer’s recommended amount of fertilizer, treatmentlevel 3 is 100%, and treatment level 4 is 150%. The researcher plans toapply treatment level 1 to the first 25 parcels of land, treatment level 2to the second 25 parcels, and so forth. Can you suggest a better way toassign treatment levels? Why is your proposal better than the researcher’smethod?the amount of cereal consumed by a member in a hotel varies directly as their number if 900k of cereal are needed in a month by 50 members. how many members will be need 2610kg of cerealThe travel time (t) on the segment of a highway connecting city A with city Bhas been observed to follow the equation below, as a function of traffic flow(v): t = 15 + 0.02v, where t and v are measured in minutes and vehicles perhour, respectively. The demand function for travel connecting the two cities isv = 3500 – 120t.a) Determine the equilibrium time and traffic flow.b) If the length of the highway segment is 30 kilometres, what is the averagespeed of vehicles traversing this segment at equilibrium conditions?
- Which of the above 4 statements is CORRECT?If Bob expects a task to take 7 hours and he has an efficiency factor of 70%, what is the estimates hours for this task to take if Bob has 100% efficiency? A )7 B) 10 C) 17 D) 28I need help especifically with the part where they rearrange the equation as: .0790(V/E) = .11 + .058(.75)(D/E). How do they get an inverse (V/E) on the left side without the .11. And how do they get a (D/E) ratio.
- It will cost you $275/ton for you to apply fertilizer (X) to yourcorn (Q). Given the yield information below (total bushelsproduced given amount of fertilizer applied), how many tons offertilizer should you apply? Make sure to show all your work with a graphSuppose Var(X) = 36, Var(Y) = 42, and X and Y are independent. What is Var(.25X + .75Y)? Suppose Var(X) = 63, Var(Y) = 87, and X and Y are independent. What is Var(.79X + .21Y)? Suppose that Var(X) = 907.96, Var(X) = 10219.44, and Cov(X,Y) = 2694.59. What is Var(.33X + .67Y)?A company estimated that the relationship between the unit price and demand per month for a potential new product is approximated by P = $ 100 – $ 0.1D. The company can produce the product by increasing fixed costs $ 17,500 per month, and the estimated variable costs is $ 40 per unit. What is the optimal demand, D*, and based on this demand, should the company produce new product? Why? a) Work out the complete solution by differential calculus, starting with formula for profit or loss per month b) Solve graphically for an approximate answer
- An electronics retailer wants to send codes for $10 off a pair of headphones to the subscribers of its e-mail list. The coupon code will have two letters followed by three digits. The letters A , B , C , and D and the digits 6 and 9 will not be used. So, there are 22 letters and 8 digits that will be used. Assume that the letters and digits can be repeated. How many such coupon codes can be generated? couponcodesSuppose that Var(X) = 661.1, Var(X) = 8021.53, and Cov(X,Y) = 1922.11. What is Var(.64X + .36Y)? Suppose that Var(X) = 869.03, Var(X) = 7850.84, and Cov(X,Y) = 2238.69. What is Var(.67X + .33Y)?Eng. Economic Q1. Would a dollar tomorrow be worth more to you today when interested is 20% or 10%?