A delivery service is considering the purchase of vans. The model SE costs $16,000 with an expected annual operating-maintenance cost of $2700. The model LE costs $20,000 with an expected annual operating-maintenance cost of $2400. The company needs at least nine vans and has $160,000 available for purchase. How many of each type of van should the company purchase to minimize the expected operating-maintance costs? (a) Give the objective function and state whether you are trying to maximize or minimize the objective function (don’t need to solve the problem or give any of the other constraints). (b) Define your variables in the objective function given above: (c) Give all the constraints for this linear programming problem (do not need to solve the problem).

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 21T: A manufacturer produces two models of television stands. The table at the left shows the times (in...
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A delivery service is considering the purchase of vans. The model SE costs $16,000 with an expected annual
operating-maintenance cost of $2700. The model LE costs $20,000 with an expected annual operating-maintenance cost of $2400. The company needs at least nine vans and has $160,000 available for purchase. How many of each type of van should the company purchase to minimize the expected operating-maintance costs?

(a) Give the objective function and state whether you are trying to maximize or minimize the objective function (don’t need to solve the problem or give any of the other constraints).


(b) Define your variables in the objective function given above:


(c) Give all the constraints for this linear programming problem (do not need to solve the problem).

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