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- Hamed own a local gold market that currently has 4693401 subscriber in Instagram at a quarterly charge ofR.O. 18. He notices that if he raises the price of his commodity to R.O. (18 + 4), he will lose 8549 subscriber.Assuming that subscriptions are linearly related to the price, what price should Hamed charge for aquarterly subscription to maximize his revenue?Hamed own a local gold market that currently has (4693401)subscriber in Instagram at a quarterly charge of R.O. 18. He notices that if he raises the price of his commodity to R.O. (18+ 4), he will lose 8549subscriber. Assuming that subscriptions are linearly related to the price, what price should Hamed charge for a quarterly subscription to maximize his revenue?During each 6-hour period of the day, the Bloomington Police Department needs at least the number of policemen shown in the following table. Policemen can be hired to work either 12 consecutive hours or 18 consecutive hours. Policemen are paid $15 per hour for each of the first 12 hours a day they work and are paid $22.5 per hour for each of the next 6 hours they work in a day. Formulate an LP that can be used to minimize the cost of meeting Bloomington’s daily police requirements and solve it via Excel. Time Period Number of required policemen 12:00AM----6:00AM 12 6:00AM----12:00PM 8 12:00PM----6:00PM 6 6:00PM----12:00AM 15
- John Swanson, president of Market Research Inc., has asked you to estimate the coefficients of the modelY = β0 + β1X1 + β2X21 + b3X2where Y is the expected sales of office supplies for a large retail distributor of office supplies, X1 is the total disposable income of residents within 5 miles of the store, and X2 is the total number of persons employed in information-based businesses within 5 miles of the store. Recent work by a national consulting firm has concluded that the coefficients in the model must have the following restriction:b1 + b2 = 2Describe how you would estimate the model coefficients using least squares.Accountants at the Tucson firm, Larry Youdelman,CPAs, believed that several traveling executives were submittingunusually high travel vouchers when they returned from businesstrips. First, they took a sample of 200 vouchers submitted from the past year. Then they developed the following multiple-regres-sion equation relating expected travel cost to number of days on the road ( x1 ) and distance traveled ( x2 ) in miles:yn = +90.00 + +48.50x1 + +.40x2The coefficient of correlation computed was .68.a) If Donna Battista returns from a 300-mile trip that took herout of town for 5 days, what is the expected amount she shouldclaim as expenses?b) Battista submitted a reimbursement request for $685. Whatshould the accountant do?c) Should any other variables be included? Which ones? Why?A car rental company is developing a replacement plan for its car fleet over the next 4 years. Based on past data, they have estimated all costs associated with replacement of individual cars within this planning horizon. All costs such as purchasing, operating, maintenance, and resale, associated with the policy to buy a car in year i and sell it in year j, is denoted as c, and is estimated for the whole planning horizon (in x$1000. All replacements (buying and selling) are assumed to occur at the beginning of the indicated years, and a car must be in service for at least one year before replacement is considered. What is the least cost replacement policy?
- Solve min x1-x2-2x3 problem by means of Lagrange multipliers under the constraints of x1+x2+x3=5 and x12+ x22 =4. Explain what the values of Lagrange multipliers mean?7 a) Differentiate the multi target mode where D =0, showing that it can’t be used for low dose b) mathematically explain whether the linear quadratic model is ideal model for high doses or low doseWhy non-negativity constaints are not part of the general optimization model ?
- Hamed own a local gold market that currently has 8549x549 subscriber in Instagram at a quarterly charge of R.O. 18. He notices that if he raises the price of his commodity to R.O. (18 + 4), he will lose 8549 subscriber. Assuming that subscriptions are linearly related to the price, what price should Hamed charge for a quarterly subscription to maximize his revenue?a box with a a square base and open top must have a volume of 62,500cm3. Find the dimensions of the box that minimize the amount of material used. please provide the found objective function (optimization equation) and its derivate.At the BMV, suppose that the length of time you must wait before speaking to a customer service representative is linearly related to the number of people who are in line in front of you. If there are 8 people in line in front of you, you will wait 44 minutes, and if there are 14 people in front of you, you will wait 68 minutes. How long will you wait if there are 10 people in front of you?