A merchant plans to sell two models of compact disc players at costs of $120 and $190. The $120 model yields a profit of $30 per unit and the $190 model yields a profit of $50 per unit. The merchant estimates that the total monthly demand will not exceed 250 units. The merchant does not want to invest more than $40,000 in inventory for these products. Find the number of each model the merchant needs to sell in order to maximize his profit. Let x be the number of $120 model sold and let y be the number of $190 model sold. Which one of the following is the correct answer? Formulate but do not solve the linear programming problem.
A merchant plans to sell two models of compact disc players at costs of $120 and $190. The $120 model yields a profit of $30 per unit and the $190 model yields a profit of $50 per unit. The merchant estimates that the total monthly demand will not exceed 250 units. The merchant does not want to invest more than $40,000 in inventory for these products. Find the number of each model the merchant needs to sell in order to maximize his profit. Let x be the number of $120 model sold and let y be the number of $190 model sold. Which one of the following is the correct answer? Formulate but do not solve the linear programming problem.
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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Transcribed Image Text:A merchant plans to sell two models of compact disc players at costs of $120 and
$190. The $120 model yields a profit of $30 per unit and the $190 model yields a
profit of $50 per unit. The merchant estimates that the total monthly demand will
not exceed 250 units. The merchant does not want to invest more than $40,000 in
inventory for these products. Find the number of each model the merchant needs to
sell in order to maximize his profit. Let x be the number of $120 model sold and let y
be the number of $190 model sold. Which one of the following is the correct
answer? Formulate but do not solve the linear programming problem.
Objective function P= 30x+50y. Constraints
x + y ≥ 250, 120x + 190y≤ 40,000.
Objective function P= 30x+50y. Constraints:
x + y ≥ 250, 120x + 190y≤ 40,000.
Objective function P= 30x+50y. Constraints:
x + y ≥ 250, 120x + 190y≤ 40, 000, x ≥ 0, y ≥ 0.
Objective function P= 30x+50y. Constraints:
x + y ≤ 250, 120x + 190y≤ 40, 000, x ≥ 0, y ≥ 0.
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