7.... A plant nursery sells two sizes of oak trees to landscapers. Large trees cost the nursery $130 from the grower. Small trees costthe nursery $70. The profit for each large tree sold is $45 and the profit for each small tree sold is $27. The monthlly demand is atmost 370 oak trees. Furthermore, the nursery does not want to allocate more than $40,300 each month on inventory for oaktrees.(a) Determine the number of large oak trees and the number of small oak trees that the nursery should have in its inventory eachmonth to maximize profit.(b) What is the maximum profit?(c) If the profit on large trees were S60, and the profit on small trees remained the same, then how many of each should thenursery have to maximize profit?Part: 0 / 8Part 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 inventoryeach 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.MonthlyMonthly profit to sellMonthly profit to sellprofitx large oak treesy small oak treesMonthly profit: z =

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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 $45 and the profit for each small tree sold is $27. The monthly demand is at most 370 oak trees. Furthermore, the nursery does not want to allocate more than $40,300 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 $60, and the profit on small trees remained the same, then how many of each should the nursery have to maximize profit?

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 $45 and the profit for each small tree sold is $27. The monthly demand is at most 370 oak trees. Furthermore, the nursery does not want to allocate more than $40,300 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 $60, and the profit on small trees remained the same, then how many of each should the nursery have to maximize profit?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter7: Systems Of Equations And Inequalities

Section7.2: Systems Of Linear Equations: Three Variables

Problem 61SE: Last year, at Haven's Pond Car Dealership, for a particular model of BMW, Jeep, and Toyota, one...

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