Let P(x) = 28x -x^2 be the profit from the manufacture and sale of x toys. What production level maximizes profit?
Find the relative maximum point for the function f(x) = -x^3 + 3x^2 +24x +5
Here is the word problem: A mass of clay of volume 432in^3 is formed into two cubes. What is the minimum possible total surface area of the two cubes? What is the maximum? I have determined the following: Surface Area (SA) = 6a^2 Volume of a cube (V) = a^3 I am not sure how to setup the formula to determine the asked fo
This is reserve for a Specific OTA you can solve the problem using genetic algorithm(GA),but do you think you can get near the solution in the the "Result_2_Xugang" PDF file i sent.please describe why this algorithm good fro my case. I NEED THE WHOLE CODES PLEASEEEEEEEEEEEEEE. some test data is needed to see the benefi
1 Definition of a Prony Series Let GR(t) be the shear stress relaxation modulus. Define G1 and G0 by the following limits: ... From the shear relaxation modulus we can define a dimensionless relaxation modulus from: .... The normalized shear stress relaxation modulus is often represented by a series expansion in exponential
Could you solve the following approach "in the 2nd page of the PDF file" using matlab. Let me know if you are interesting to solve this problem.i can pay anything you want.there is an Optimization involve in step #5 "you can use any Optimization method you know to solve it.I prefer the two-phase global optimization algorithm. i
If he uses the maximax criterion, which size bus will he purchase? If he uses the maximin criteria, which size bus would he purchase? If he uses Bayes' decision rule, which size bus would he purchase? What is the expected annual profit for the bus that he will decide to purchase using Bayes' decision rule?
The operations manager for a community bus company wants to decide whether he should purchase a small, medium, or large new bus for his company. He estimates that the annual profits (in $000) will vary depending upon whether passenger demand is low, medium, or high as follows: Bus Low Medium High Small
Photo-Max, a large photographic outlet, receives 5,000 collapsible tripods annually from Quality Photographic Suppliers to meet annual demand. The ordering cost is $15 per order, and the carrying cost is $0.50 per unit per year. Quality Photographic, building on its established reputation for on-time delivery, is interested in s
Explain what makes quantitative forecasting methods appropriate.
Ace Lumber and Building Supply in Andover, Maryland, has received the following order for standard 1x12 boards to be cut in three lengths Order for 1x12 Boards Length Quantity 7 ft 700 9 ft 1200 10 ft 300 The company maintains 1x12 boards in 25-foot standard-length in stock. Therefore,
Q Ut4iOE) 3 A finite string of length L that is fixed at both ends and is released from rest with an initial displacement will have the following mathamatical description by the wave equation U =a^2 Uxx Given a = 30 m/s and the initial velocity of 300sin(4 pi x) from Its equilibrium position and L = 4m. find the solution for
1. Consider a savings account started with an initial deposit of y(0) dollars. The interest rate is r percent per annum and the interest is compounded every month. The depositor is allowed to make additional deposits every month, say, u(1), u(2), u(3), and so on. Write a difference equation that will model the balance at the end
Find the maximum and the minimum moduli of the function on the set . (Upper half of the closed unit disc around the origin). Find all points where these maximum and minimum are attained. Please see the attached file for the fully formatted problems.
Prove: A continuous mapping T of a compact subset M of a metric space X into assumes a maximum and a minimum at some points of M.
The maximum value of z = 20x + 8y subject to 3x + y < 24 6x + 4y < 66 x > 0, y > 0 is: A. 220 B. 160 C. 172 D. 132
Find maximum value of sin(x) + 3cos(x)
If a company has m hours of machine time and w hours of labor, it can produce 3m^(1/3)w^(2/3) units of a product. Currently, the company has 216 hours of machine time and 1,000 hours of labor. An extra hour of machine time costs $100, and an extra hour of labor costs $50. If the company has $100 to invest in purchasing addition
A fire dept. says that they must have full time firemen work on different days of the week. they must have 10 on mon, 11 on tues, 12 on wed, 13 on thurs, 14 on fri, 15 on sat and 16 on sun . each fireman must work 5 (any 5) consecutive days and then have two days off. but sometimes they can work one day a week OT. each fireman i
A logistics specialist for Wiethoff Inc. must distribute cases of parts from 3 factories to 3 assembly plants. The monthly supplies and demands, along with the per-case transportation cost are: Destination Assembly Plant 1 2 3 Supply Source A 5 9 16 200 Factory B 1 2 6 400 C 2 8 7 200 Demand 120 620 60 What are the t
I need help trying to find the answer. I have tried about 20 different constraints and all of them are wrong. I don't know what I am doing wrong. Some of the constraints that I have tried are x4 + x6 = 175 and x6 + 0 = 175 just to give you an idea of the way that I am thinking. Evidently it is wrong. Please guide me in the
Sue and Joan are making cloth pins for a craft show. They have enough fabric to make at most 40 giraffe pins and 80 frogs. They know they will be able to sell at least 20 giraffes and 60 frogs. However, they have time to make only a total of 110 pins. If their is $4.90 for each giraffe and $1.25 for each frog, what is their maxi
Find the maximum and minimum values of this function: G= 7X+16y subject to 7x+3y is less than or greater to 37 x is greater than or equal to 0 y is greater than or equal to 0
Find critical numbers, inflection points, absolute max and absolute min values for the following given functions:
Find critical numbers, inflection points, absolute max and absolute min values for the following functions: (a) f(x) = sqrt(x^2-8x+32) * (x-4) (b) f(x) = x*sqrt(x^2+4)
Specify whether the following statements are true or false and justify your answer. a) Suppose we have an optimal basic feasible solution for an LP in standard form. If we increase the cost of a non-basic variable xn, the current solution will always remain optimal. b) Suppose we have an optimal basic feasible solution for
--- 4) Find a positive number such that the sum of the number and its reciprocal is as small as possible 6) Find the dimensions of a rectangle with area 1000m^2 whose perimeter is as small as possible 10) A box with square base and open top must have a volume of 32,000cm^3. Find the dimensions of the box that minimize
(See attached file for full problem description) --- 1) Let F(x) = 2√X - X A. Find the local maximum and minimum values of F (x) in the interval [0,9] B. Determine whether F(x) satisfies al the conditions of MVT in the interval [0,9]. If f(x) satisfies the condition of MVT determine the 'c' value that satisfies th
Problem: A furniture manufacturer has warehouses in cities represented by nodes 1, 2, and 3 in Figures 5.34. The values on the arcs indicate the per unit shipping costs required to transport living room suites at each warehouse is indicated by the negative number next to nodes 1, 2, and 3. The demand for living room suites is
Optimization Problem using Excel add-in Solver This problem requires the use of Excel and the add-in, called Solver. The course is Excel-based and Solver is the optimization application used for all problems. The problem appears in this text box and is also attached as a MS Word file, so it is sure to transmit legibl
This problem requires the use of Excel and the add-in, called Solver. The course is Excel-based and Solver is the optimization application used for all problems. This particular problem comes from Cliff Ragsdales's " Spreadsheet Modeling and Decisoin Analysis" and is case problem 6.3. The problem appears in this text box an
(See attached file for full problem description) Hint: Consider the linear program: Min v St. Ax-ve <= b Where X is in Rn and v is in R