Q#3: Figure below illustrates the relative locations of the three cities. A large health maintenanceorganization (HMO) wishes to build a satellite clinic to service the three cities. The locationof the clinic x should be such that the sum of the distances between the clinic and each cityis minimized. This criterion can be stated asMinimize S = (z, – x)*j-1Where x, is the location of the city j and x is the location of the clinic.a) Determine the distance function S=f(x).b) Determine the location which minimizes S.ReferencepointCity 1City 2City 3miles1020405070

The First derivative is used to determine the point of maximizing or minimizing while the second…

Answered: Q#3: Figure below illustrates the…

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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Wire of length 12 m is divided into two pieces and the pieces are bent into a square and a circle. How should this be done in order to minimize the sum of their areas? Only set up. No need for the solution to the problem. Set up the objective function using the following notation: Let x represent the length of the piece of wire that is to be bent into a square.
Please, I need the answer for c,d,e,f that indicated in the photo below.
A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r units of chemical R, where: Chemical P costs $100 a unit and chemical R costs $400 a unit. The company wants to produce as many units of chemical Z as possible with a total budget of $80,000. 2= 100p0.8.0.2 A) How many units each chemical (P and R) should be "purchased" to maximize production of chemical Z subject to the budgetary constraint? Units of chemical P, p = Units of chemical R, r = B) What is the maximum number of units of chemical Z under the given budgetary conditions? (Round your answer to the nearest whole unit.) Max production, z= units
The monthly income associated with the sale of two products is described with the function in two variables / = 21a + 19b, where a and b are quantities sold of products A and B, respectively. Furthermore, it is known that the cost of producing these products is modeled by C = 3a² +6b². With this information answer: Write the criterion of the monthly profit function from the sales of products A and B, use as variables a and b What is the only critical point of the utility function? What is the value of the discriminant of the utility function evaluated at that critical point (Value of D used to classify the critical point) At this critical point. Is a relative maximum, a relative minimum, or neither determined?
6) The following data is available for a simple hedonic home price model. Lot size and house size are continuous variables. For example, for every 100 square feet in house size, the value of the home increases by $150x100=15,000. Regarding proximity to a hospital, any home within 3 miles of a hospital is worth an additional $10,000 premium. Beyond 3 miles, there is no premium. What is the value of a 2,000 square foot home on a 5,000 square foot lot 2 miles from the hospital? Coefficient Value Description Lot size in Sq Ft House in Sq Ft Within 3 Miles of Hospital 60 150 10,000
Many times property value appraisers estimate the value of specific properties with minor or sometimes major difference. A company that builds apartment buildings in Athens considers two appraisers, A and B. who give an estimate of the sale price of their apartments. The sales department of the company has observed that in most cases appraiser A gives smaller value estimates of their apartments. The company would like to know if this is true for estimated values of apartments of other companies. Let X₁ be the appraisal value of an apartment of other companies by appraiser A. Let X2 be the appraisal value of an apartment of other companies by appraiser B. Also, let D=X₂-X₁. The company selected a random sample of apartments of other companies. Let be the appraisal value of each apartment in the sample by appraiser A. Let *2 be the appraisal value of each apartment in the sample by appraiser B. The measurements and *2 are in thousands of euros and are given below. Let d=x₂-x. At the 5%…
Q2. Pharmaceutical company producing a single product sold it through five agencies situated in different cities. All of sudden there rouse a demand for the product in another five cities that didn't agency of the company. The company is now facing the problem of deciding on how to assign the existing agencies in order to dispatch the product to needy cities in such a way that the travelling distance is minimized. The distance between the surplus and deficit cities in kilometer is given the following table. Surplus city Deficit cities Deficit cites a b d. e A1 160 130 115 190 200 B1 135 120 130 160 175 C1 140 110 125 170 185 D1 50 50 80 80 110 E1 55 35 80 80 105 Determine the optimum assignment schedule.

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