The total revenue, thousands of dollars, for selling g thousand Framits is given by (a) Find all values of q at which the graph of marginal revenue has a horizontal tangent. smaller q= larger q (b) At each of the quantities you found in part (a), determine whether the graph of marginal revenue is concave up or concave down and apply the Second Derivative Test to determine if the quantity gives a local maximum or a local minimum marginal re At the smaller quantity, the graph of marginal revenue is -Select- 9, which means that marginal revenue has a-Select- at this quantity. At the larger quantity, the graph of marginal revenue is --Select- (c) Determine the global maximum value and the global minimum value of marginal revenue over the interval from q=0 to q=12 thousand Framits. (Round to the nearest cent.) 9, which means that marginal revenue has a ---Select- at this quantity. global maximum value of MR: dollars per Framit global minimum value of MR: dollars per Framit (d) Is the graph of total revenue concave up or concave down at q=12 thousand Framits? concave up concave down True or False? The graph of total revenue has a local minimum at q=12 thousand Framits. true O false

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
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The total revenue, in thousands of dollars, for selling q thousand Framits is given by
31
TR(4)=*-+55q²+200q.
+cb-
(a) Find all values of q at which the graph of marginal revenue has a horizontal tangent.
smaller q=
larger q=
(b) At each of the quantities you found in part (a), determine whether the graph of marginal revenue is concave up or concave down and apply the Second Derivative Test to determine if the quantity gives a local maximum or a local minimum of marginal revenue.
At the smaller quantity, the graph of marginal revenue is (---Select---
which means that marginal revenue has a
---Select---
A at this quantity.
At the larger quantity, the graph of marginal revenue is( ---Select---
which means that marginal revenue has a
---Select---
e at this quantity.
(c) Determine the global maximum value and the global minimum value of marginal revenue over the interval from q=0 to q=12 thousand Framits. (Round to the nearest cent.)
global maximum value of MR:
dollars per Framit
global minimum value of MR:
dollars per Framit
(d) Is the graph of total revenue concave up or concave down at q=12 thousand Framits?
O concave up
O concave down
True or False? The graph of total revenue has a local minimum at q=12 thousand Framits.
true
false
Transcribed Image Text:The total revenue, in thousands of dollars, for selling q thousand Framits is given by 31 TR(4)=*-+55q²+200q. +cb- (a) Find all values of q at which the graph of marginal revenue has a horizontal tangent. smaller q= larger q= (b) At each of the quantities you found in part (a), determine whether the graph of marginal revenue is concave up or concave down and apply the Second Derivative Test to determine if the quantity gives a local maximum or a local minimum of marginal revenue. At the smaller quantity, the graph of marginal revenue is (---Select--- which means that marginal revenue has a ---Select--- A at this quantity. At the larger quantity, the graph of marginal revenue is( ---Select--- which means that marginal revenue has a ---Select--- e at this quantity. (c) Determine the global maximum value and the global minimum value of marginal revenue over the interval from q=0 to q=12 thousand Framits. (Round to the nearest cent.) global maximum value of MR: dollars per Framit global minimum value of MR: dollars per Framit (d) Is the graph of total revenue concave up or concave down at q=12 thousand Framits? O concave up O concave down True or False? The graph of total revenue has a local minimum at q=12 thousand Framits. true false
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