Profit The Ball Company manufactures three types of lamps, labeled A, B, and C. Each lamp is processed in two departments, I and II. Total available work-hours per day for departments I and II are 400 and 600, respectively. No additional labor is available. Time requirements and profit per unit for each lamp type are as follows:
The company has assigned you as the accounting member of its profit planning committee 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 of lamps. The following questions relate to a linear programming model that your group has developed. (For each part, choose one of the four answers.)
- (a) The coefficients of the objective function would be
- (1) 4, 2, 3.
- (2) 2, 3, 1.
- (3) 5, 4, 3.
- (4) 400, 600.
- (b) The constraints in the model would be
- (1) 2, 3, 1.
- (2) 5, 4, 3.
- (3) 4, 2, 3.
- (4) 400, 600.
- (c) The constraint imposed by the available work-hours in department I could be expressed as
- (1) 4X1 + 2X2 + 3X3 ≤ 400.
- (2) 4X1 + 2X2 + 3X3 ≥ 400.
- (3) 2X1 + 3X2 + 1X3 ≤ 400.
- (4) 2X1 + 3X2 + 1X3 ≥ 400.
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Finite Mathematics and Calculus with Applications (10th Edition)
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