A plant nursery sells two sizes of oak trees to landscapers. Large trees cost the nursery $130 from the grower. Small trees cost the nursery $70. The profit for each large tree sold is $35 and the profit for each small tree sold is $25. The monthly demand is at most 330 oak trees. Furthermore, the nursery does not want to allocate more than S35,100 each month on inventory for oak trees. (a) Determine the number of large oak trees and the number of small oak trees that the nursery should have in its inventory each month to maximize profit. (b) What is the maximum profit? (c) If the profit on large trees were $52, and the profit on small trees remained the same, then how many of each should the nursery have to maximize profit? Part: 0/8 Part 1 of 8 (a) Determine the number of large oak trees and the number of small oak trees that the nursery should have in its inventory each month to maximize profit. Define the relevant variables. Let x represent the number of large oak trees. Let y represent the number of small oak trees. Write an objective function. Since profit is to be maximized, write a profit function. Monthly Monthly profit to sell Monthly profit to sell profit x large oak trees y small oak trees Monthly profit: z =

A plant nursery sells two sizes of oak trees to landscapers. Large trees cost the nursery $130 from the grower. Small trees cost the nursery $70. The profit for each large tree sold is $35 and the profit for each small tree sold is $25. The monthly demand is at most 330 oak trees. Furthermore, the nursery does not want to allocate more than S35,100 each month on inventory for oak trees. (a) Determine the number of large oak trees and the number of small oak trees that the nursery should have in its inventory each month to maximize profit. (b) What is the maximum profit? (c) If the profit on large trees were $52, and the profit on small trees remained the same, then how many of each should the nursery have to maximize profit? Part: 0/8 Part 1 of 8 (a) Determine the number of large oak trees and the number of small oak trees that the nursery should have in its inventory each month to maximize profit. Define the relevant variables. Let x represent the number of large oak trees. Let y represent the number of small oak trees. Write an objective function. Since profit is to be maximized, write a profit function. Monthly Monthly profit to sell Monthly profit to sell profit x large oak trees y small oak trees Monthly profit: z =

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.8: Linear Programming

Problem 3SC: In Example 3, if the accountant earns a profit of 100 on each individual return and a profit of 175...

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