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.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Topic Video
Question

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.)
$
Transcribed Image Text: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.) $
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Propositional Calculus
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,