A nursery sells mulch by the truckload. Bark mulch sells for $b per load, and pine straw sells for $p per load. The nursery's average weekly profit from the sale of these two types of mulch can be modeled as P(p, b) = 148p - 5p2 - pb - 262 + 130b + 45 dollars. (a) How much should the nursery charge for each type of mulch to maximize the weekly profit from the sale of mulch? (Round your answers to the nearest cent.) pine straw $ bark mulch 2$ (b) Explain how the Determinant Test verifies that the result in part (a) gives the maximum profit. Since the determinant of the ---Select--- matrix is -.--Select--- O and the second partial Pon is ---Select--- o, the prices result in a maximum profit. (c) What is the maximum weekly profit from the sales of these two types of mulch? (Round your answer to the nearest dollar.)

A nursery sells mulch by the truckload. Bark mulch sells for $b per load, and pine straw sells for $p per load. The nursery's average weekly profit from the sale of these two types of mulch can be modeled as P(p, b) = 148p - 5p2 - pb - 262 + 130b + 45 dollars. (a) How much should the nursery charge for each type of mulch to maximize the weekly profit from the sale of mulch? (Round your answers to the nearest cent.) pine straw $ bark mulch 2$ (b) Explain how the Determinant Test verifies that the result in part (a) gives the maximum profit. Since the determinant of the ---Select--- matrix is -.--Select--- O and the second partial Pon is ---Select--- o, the prices result in a maximum profit. (c) What is the maximum weekly profit from the sales of these two types of mulch? (Round your answer to the nearest dollar.)

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Description: Dropdown Options1. ( Patials, Secound Partials)2. ( Greater than, Less than, greater than or qual to, less than or equal to, or equal to)3. ( Greater than, Less than, greater than or qual to, less than or equal to, or equal to) A nursery sells mulch

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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Concept explainers

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.

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Dropdown Options

1. ( Patials, Secound Partials)

2. ( Greater than, Less than, greater than or qual to, less than or equal to, or equal to)

3. ( Greater than, Less than, greater than or qual to, less than or equal to, or equal to)

A nursery sells mulch by the truckload. Bark mulch sells for $b per load, and pine straw sells for $p per load. The nursery's average weekly profit from the sale of these two types of
mulch can be modeled as
P(p, b) = 148p - 5p2 - pb – 262 + 130b + 45 dollars.
(a) How much should the nursery charge for each type of mulch to maximize the weekly profit from the sale of mulch? (Round your answers to the nearest cent.)
pine straw
$
bark mulch
24
(b) Explain how the Determinant Test verifies that the result in part (a) gives the maximum profit.
Since the determinant of the ---Select---
matrix is ---Select---
e O and the second partial Pop is
--Select---
0, the prices result in a
maximum profit.
(c) What is the maximum weekly profit from the sales of these two types of mulch? (Round your answer to the nearest dollar.)
$

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