WK Qu. 7-11 A firm has prepared the following binary...A firm has prepared the following binary integer program to evaluate a number of potential locations for newwarehouses. The firm's goal is to maximize the net present value of their decision while not spending more than theircurrently available capital.Max 35x1 + 25x2 +15x3+ 30x4s.t. 7x1 + 8x2 +7x3 + 13x4 ≤ 18 [Constraint 1}+ x4 ≥ 2 [Constraint 2}X1 + x2 + x3X1 + X2 ≤ 1 [Constraint 3}X1 + X3 ≥ 1 [Constraint 4)X2=X4 [Constraint 5)1, if location j is selectedxj =0, otherwiseSolve this problem to optimality and answer the following questions:a. Which of the warehouse locations will/will not be selected?Location 1willLocation 2willLocation 3willLocation 4willbe selectednot be selectedNet presentvaluebe selectednot be selectedb. What is the net present value of the optimal solution? (Round your answer to the nearest whole number.)50c. How much of the available capital will be spent (Hint: Constraint 1 enforces the available capital limit)? (Round youranswer to the nearest whole number.)Available capital

Objective Functions and Constraints: Based on the given details, the objective…

Answered: a. Which of the warehouse locations…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter5: Network Models

Section5.5: Shortest Path Models

Problem 32P

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26. XYZ and Co has provided the following data seeking your advice on optimum investment strategy: Net return data (in paise) Investment made at the of selected investments Amount beginning of year available (Lakh) 1 95 80 70 60 70 2 75 65 60 50 40 3 70 45 50 40 90 60 40 40 30 30 Маximum Investment (Lakh) 40 50 60 60 The following additional information is also provided: (i) P, Q, R and S represent the selected investments. (ii) The company has decided to have four-year investment plan. (iii) The policy of the company is that amount invested in any year will remain so until the end of the fourth year. (iv) The values (paise) in the table represent net return on investment of 7 1 till the end of the planning horizon (for example, a rupee invested in investment P at the beginning of first year will grow to { 1.95 by the end of the fourth year, yielding a return of 95 paise). Using the above, determine the optimum investment strategy. (CA, November, 1996)
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1. XYZ Company is considering making a new product which requires several types of raw material: In Stock Required Raw Material Description Ayay Nil 100 Replacement Cost is $5 per unit. This material has limited supply. This material is also used to produce another product which has a contribution margin of $3.5 per unit of material Ayay. All available supply of material Ayay are needed to produce this another product. Benzam Nil 40 Current purchase price is $7/unit. Chizzum 100 150 purchased for $10/unit Current purchase price is $14/unit. The material has no use in the company other than for the project under consideration. Units in inventory can be sold for $12/unit. Dedee 120 50 purchased for $20/unit Current purchase price is $22/unit. The material is regularly used in current manufacturing operations. Required: Compute the relevant cost of each material.
D4.
The operations manager for a water taxi company wants to decide whether to purchase a small, medium, or large new boat for the company. The manager estimates that the annual profits (in thousands of dollars) will vary depending upon whether passenger demand is low, moderate, or high, as shown in the following table. Demand Boat Low Medium High Small 53 63 73 Medium 39 82 92 Large 19 48 120 Probability 0.25 0.3 0.45 What is the expected value of perfect information? ○ $16,100 $21,100 $75,750 $96,850
2) NaserCo Wants to display it products within 10,000 feet square according to the following Data: Cost of Other Needed space Cost of each Sales storing extra each price per of each Unit Unit Product cost Unit (in feet) per unit 5 Unit A 50 2 80 20 B 90 3 7 115 15 C 180 5 10 250 30 D 230 7 8 300 40 NaserCo decided to 1. Display at least 10 units of each Product A and B. 2. Display at most 20 units of product C and D. 3. the capital prepared for buying is 250000 dinar. Find the Linear programming form of the above problem.
3) Maximize Z= 2x, +x2 +3x 3 X+x2+2x3 <25 + X3 5 8 X2+ x3 S10 X1, X2, X3 2 0 Subject to IMe
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