VENTEe. Is there any unused material? If so, how muchf. Are any of the constraints redundant? If so, which one?Its reg. Identify the binding constraint/s:h.Identify the non-binding constraint/s:i. Compute the value of the objective function when 1 ton is added to the originalamount available for production of raw material 1. Also, find the corresponding dualprice dual price.j.Compute the range where the dual price computed in (i) remains valid.k.Compute the range of optimality for the objective function coefficients. XYZ, Inc., is a small firm that produces a variety of chemical products. In aparticular production process, three raw materials are blended (mixed together) to producetwo products: a fuel additive and a solvent base. Each ton of fuel additive is a mixture of 2ton of material 1 and 3 of material 3. A ton of solvent base is a mixture of ½ ton of material1, ½ ton of material 2, and 10 ton of material 3. After deducting relevant costs, the profitcontribution is P2000 for every ton of fuel additive produced and P1500 for every ton ofsolvent base produced.XYZ's production is constrained by a limited availability of the three raw materials. Formaterial production period, XYZ has the following available quantities of each rawRaw MaterialMaterial 1Material 2Amount Available for Production20 tons5 tonsMaterial 321 tonsAssuming that XYZ is interested in maximizing the total profit contribution, answer thefollowing:a. Define the variables used and formulate the linear programming model for thisproblemmoun

“Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Answered: XYZ, Inc., is a small firm that…

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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Any reversible path may be substituted by a reversible zigzag path between the same end processes such that the heat transfer during this zigzag path is equal to the heat transfer during original path. What are the processes involved in the zigzag path? a. reversible polytropic and isobaric process b. reversible polytropic and isothermal process c. reversible adiabatic and isothermal processes d. none of the above don't chat gpt use
Suppose 100,000 lamps are to be manufactured annually. It costs $1 to store a lamp for 1 year, $500 to set up the factory to produce a batch of lamps and $5 to produce each lamp. A. If all lamps are produced in one batch find the total cost? B. If all lamps are produced in two batches of equal size, find the total cost? C. If the number of units in each batch is q, then how many batches are there? D. Find the number of lamps in each batch to minmize the total cost? E. What is the minimum cost? [ i need all answer i will upvote]
Hansen Controls has been awarded a contract for a large number of control panels. To meet this demand, it will use its existing plants in Houston and Tulsa, and consider new plants in Portland, St. Louis and Lexington. Finished control panels are to be shipped to Denver, Kansas City and Seattle. Pertinent information is given in the table. Denver 1 1- 2- 3- Sources 4- 5- Houston Tulsa Portland Construction St. Louis Cost Kansas City 2 ---- 1 Shipping Cost to Destination: Capacity Seattle 3 6 6 500,000 450,000 Lexington 400,000 Demand 14,000 13,000 18,000 We develop a transportation model as an LP that includes provisions for the fixed costs (construction costs in this case) for the three new plants. The solution of this model would reveal which plants to build and the optimal shipping schedule. Let xij = the number of panels shipped from source i to destination j y₁ = 1 if plant i is built, = 0 otherwise (i = 3, 4, 5) The constraint x21 + x22+x23 <= 13,000*y3 represents which of the…
PLEASE USE SIMPLEX METHOD. Thank you! Suppose a company manufactures different electronic components for computers. Component A requires 2 hours of fabrication and an hour of assembly. Component B requires 3 hours of fabrication and an hour of assembly, and component C requires 2 hours of fabrication and 2 hours of assembly. The company has upto 1,000 labor-hours for fabrication, 800 labor-hours of assembly time each work. If the profit on each component A, B, and C is $7, $8, and $10 respectively, how many of each should be produced to maximize profit?
.
A suburb of Dayton, Ohio, has four local dry cleaners that compete with each other on the basis of price and service speed. Each of them can perform the same basic services at the same level of quality. The following table provides the price that each dry cleaner charges to clean a two-piece suit, as well as the quoted number of days that the service will take. Dry Cleaner Price Number of Days A $ 8.00 3 B $ 9.50 3 C $ 9.00 2 D $ 7.50 4 Which of these dry cleaners are NOT on the efficient frontier?
Deborah Kellogg buys Breathalyzer test sets for the Winter Park Police Department. The quality of the test sets from her two suppliers is indicated in the following table: For example, the probability of getting a batch of tests that are 1% defective from Winter Park Technology is .70. Because Kellogg orders 10,000 tests per order, this would mean that there is a .70 probability of getting 100 defective tests out of the 10,000 tests if Winter Park Technology is used to fill the order. A defective Breathalyzer test set can be repaired for $0.50. Although the quality of the test sets of the second supplier, Dayton Enterprises, is lower, it will sell an order of 10,000 test sets for $37 less than Winter Park. a) Develop a Decision Treeb) Which supplier should Kellog use? Percent Defective Probability for Winter Park Technology Probability for Dayton Enterprises 1 0.70 0.30 3 0.20 0.30 5 0.10 0.40
Hart Manufacturing makes three products. Each product requires manufacturing operations in three departments: A, B, and C. The labor-hour requirements, by department, are as follows. Department Product 1 Product 2 Product 3 A 1.50 3.00 2.00 B 2.00 1.00 2.50 C 0.25 0.25 0.25 During the next production period, the labor-hours available are 450 in department A, 350 in department B, and 50 in department C. The profit contributions per unit are $23 for product 1, $27 for product 2, and $28 for product 3. (a) Formulate a linear programming model for maximizing total profit contribution. (Let P; = units of product i produced, for i = 1, 2, 3.) Max 23P1 +27P2+28P3 s.t. +3P2+2P3≤ 450 Department A 1.5P1 Department B 2P1+1P2 +2.5P3 <350 Department C 0.25P1 +0.25P2+0.25P3 <50 P1, P2, P3 ≥0 (b) Solve the linear program formulated in part (a). How much of each product should be produced, and what is the projected total profit contribution (in dollars)? (P1, P2, P3) = 60,80,60 with profit $ 5220 (c)…
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