Cattle feed can be mixed from oats, corn, alfalfa, and peanut hulls. Table 1 shows thecurrent cost per ton (in dollars) of each of these ingredients, together with the percentage ofrecommended daily allowances for protein, fat, and fiber that a serving of it fulfills.OatsCornAlfalfaHulls% Protein60805540% Fat507040100% Fiber90306080Cost ($)20015010075We want to find a minimum cost way to produce feed that satisfies at least 60% of thedaily allowance for protein and fiber while not exceeding 60% of the fat allowance.1. Formulate the stated problem as an algebraic LP.

Answered: 1. Formulate the stated problem as an…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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1. Given the LP model below. Do the following: a. Formulate the new LP model. b. Set up the initial table then identify the optimum column, pivotal row, entering variable out, going variable, Zj row entries, and Cj n-Zj row entries Maximize eamings = $0.80xX₁ + $0.40X₂ + $1.20X3 - $0.10X4 subject to X₁ + 2X₂ + X3 + 5X₁150 X₂ 4X₂ + 8X₂ = 70 6X₁ + 7X₂ + 2X3 - X₂ 120 X₁, X₂, X₁, X₁Z 0
Only part (d) please.
3.
Use slover to solve this and share excel
find the a. decision variables b. objective function c. constraints
33 White & Becker Tools (W&B) requires 2,000 elec- tric motors next month for its product line of weed trimmers. Each motor is composed of three com- ponents: a coil, a shaft, and housing. W&B has the capability to produce these components or purchase them from an outside vendor. The costs of produc- ing them and purchasing them are shown in the following table. COMPONENT Coil Shaft Housing DEPART- MENT PRODUCTION COST PER UNIT Fabrication 0.5 Molding 0.4 Inspection 0.2 $2.60 $1.80 $1.40 The components that are produced by W&B must pass through three departments: fabrication, molding, and inspection. The number of hours each component requires in each department and the total number of hours available next month in each department are shown in the following table: 0.2 0.7 0.3 PURCHASE COST PER UNIT COIL SHAFT HOUSING AVAILABILITY (HR.) (HR.) (HR.) (HR.) $3.12 $2.16 $1.68 0.6 0.3 0.4 3,000 3,000 1,800 In order to determine the number of components that will be produced and the number…
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
L.P. Model: Minimize Subject to: Z = 15X+12Y 7X+11Y288 (C₂) (C₂) 16X+4Y280 X,Y 20 On the graph on right, constraints, C, and C₂ have been drawn. Using the point drawing tool, plot all the corner points for the feasible area. 24- 22- 20- 18- 16- 14- 12- 10 8- 64 4- 2- -N 10 12 14 16 18 20 22 24 X C G
1 ton of material 1 ton of material 2, and 11/13 3 10 The Kashif Corporation blends three raw materials to produce two products: a fuel additive and a solvent base. Each ton of fuel additive is a mixture of ton of material 1 and 3 ton of material 3. A ton of solvent base is a mixture of // Kashif's production is constrained by a limited availability of the three raw materials. For the current production period, Kashif has the following quantities of each raw material: material 1, 20 tons; material 2, 5 tons; material 3, 21 tons. Management wants to achieve the following P, priority level goals. Goal 1: Produce at least 30 tons of fuel additive. Goal 2: Produce at least 15 tons of solvent base. Assume there are no other goals. (a) Is it possible for management to achieve both P₁ level goals given the constraints on the amounts of each material available? If not, which constraint is the limiting factor? O Yes. It is possible to satisfy both P₁ level goals. O No. There is an insufficient…
This home work question is based on a "Product Mix" problem For formulations, you don't need to explain it. Just state the formulation and constraints
example 1a 1.plot all the corner points for the feasible area. 2. Find the optimum solution to X= Y= VALUE Z=
If the profit per unit on Tables (T) increases to $750 and simultaneously the profit per unit on Chairs (C) increases to $425, determine the new objective function value. Variable Cells Variable Name Value Cost T C Constraints 1 Number Name 2 Final Reduced Objective Allowable Allowable 3 Tables 18 0 Chairs 30 0 Coefficient Increase Decrease 720 395 Cleaning 1920 0 Fabric 4480 0.125 4480 Final Shadow Constraint Allowable Allowable 2080 90 Value Price R.H. Side Increase Decrease Testing 1600 0.188 1600 65 $26.250 O $27.690 O $1,440 Must recalculate. Change violated the 100% nule $24.810 1120 25 1E+30 80 40 160 160 320

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