RMC, Inc., is a small firm that produces a variety of chemical products. In aparticular production process, three raw materials are blended (mixed together)to produce two products: a fuel additive and a solvent base. Each ton of fueladditive is a mixture of % ton of material1 and % of material 3. A ton ofsolvent base is a mixture of % ton of material 1, % ton of material 2, and %0ton of material 3. After deducting relevant costs, the profit contribution is P2000for every ton of fuel additive produced and P1500 for every ton of solvent baseproduced.e. Identify the binding constraints:f. Identify the non-binding constraint/s:j. Compute the value of the objective function when 1 ton is added to the amountavailable for production of raw material 1. Also, find the corresponding dual pricek. Compute the range where the dual price computed in (j) remains valid.RMC's production is constrained by a limited availability of the three rawmaterials. Forthe current production period, RMChas the following availablequantities of each raw material:I. Compute the range of optimality for the objective function coefficients.Amount Available forRaw MaterialProductionMaterial 1Material 2Material 320 tons5 tons21 tonAssuming that RMC is interested in maximizing the total profit contribution,answer thefollowing:a. Define the variables used and formulate the linear programming modelfor this problemB. How many tons of each product should be produced, and what is theprojected total profit contribution?c. Is there any unused material? If so, how much?d. Are any of the constraints redundant? If so, which one?

SOLUTION: NOTE: ACCORDING TO BARTLEBY GUIDELINES WE HAVE AN AUTHORITY TO ONLY ANSWER THREE SUB PARTS…

Answered: for this problem B. How many tons of…

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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for this problem B. How many tons of each product should be produced, and what is the projected total profit contribution? c. Is there any unused material? If so, how much? d. Are any of the constraints redundant? If so, which one?