A company manufactures three types of lamps, labeled A, B, and C. Each lamp is processed in two departments, I and II. Total availablework-hours per day for departments I and II are 409 and 591, respectively. No additional labor is available. Time requirements and profit perunit for each lamp type are shown in the table to the right. The company has assigned you as the accounting member of its profit planningcommittee to determine the numbers of types of A, B, and C lamps that it should produce in order to maximize its total profit from the sale oflamps. The following questions relate to a linear programming model that your group has developed.a. What would the coefficients of the objective function be?OA. 2, 3, 1OB. 409, 591OC. 8, 7, 6OD. 4, 2, 3b. What would the constraints in the model be?OA. 4, 2, 3OB. 2, 3, 1OC. 8, 7, 6OD. 409, 591c. What could the constraint imposed by the available work-hours in department I be expressed as?OA. 4x₁ + 2x₂ + 3x3 ≤ 409O B. 2x₁ + 3x₂ + 1x3 2409OC. 2x₁ + 3x₂ + 1x₂ ≤4094Work-hours in IWork-hours in IIProfit per UnitA BC3124 2 3$8 $7 $6

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Answered: A company manufactures three types of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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