A manufacturing plant makes two types of inflatable boats––a two-person boat and a four-person boat. Each two-person boat requires 0.9 labor-hour from the cutting department and 0.8 labor-hour from the assembly department. Each four-person boat requires 1.8 labor-hours from the cutting department and 1.2 labor-hours from the assembly department. The maximum labor-hours available per month in the cutting department and the assembly department are 864 and 672 , respectively. The company makes a profit of $ 25 on each two-person boat and $ 40 on each four-person boat. (A) Identify the decision variables. (B) Summarize the relevant material in a table similar to Table 1 in Example 1. (C) Write the objective function P . (D) Write the problem constraints and nonnegative constraints. (E) Graph the feasible region. Include graphs of the objective function for P = $ 5 , 000 , P = $ 10 , 000 , P = $ 15 , 000 , and P = $ 21 , 600 . (F) From the graph and constant-profit lines, determine how many boats should be manufactured each month to maximize the profit. What is the maximum profit?
A manufacturing plant makes two types of inflatable boats––a two-person boat and a four-person boat. Each two-person boat requires 0.9 labor-hour from the cutting department and 0.8 labor-hour from the assembly department. Each four-person boat requires 1.8 labor-hours from the cutting department and 1.2 labor-hours from the assembly department. The maximum labor-hours available per month in the cutting department and the assembly department are 864 and 672 , respectively. The company makes a profit of $ 25 on each two-person boat and $ 40 on each four-person boat. (A) Identify the decision variables. (B) Summarize the relevant material in a table similar to Table 1 in Example 1. (C) Write the objective function P . (D) Write the problem constraints and nonnegative constraints. (E) Graph the feasible region. Include graphs of the objective function for P = $ 5 , 000 , P = $ 10 , 000 , P = $ 15 , 000 , and P = $ 21 , 600 . (F) From the graph and constant-profit lines, determine how many boats should be manufactured each month to maximize the profit. What is the maximum profit?
A manufacturing plant makes two types of inflatable boats––a two-person boat and a four-person boat. Each two-person boat requires
0.9
labor-hour from the cutting department and
0.8
labor-hour from the assembly department. Each four-person boat requires
1.8
labor-hours from the cutting department and
1.2
labor-hours from the assembly department. The maximum labor-hours available per month in the cutting department and the assembly department are
864
and
672
, respectively. The company makes a profit of
$
25
on each two-person boat and
$
40
on each four-person boat.
(A) Identify the decision variables.
(B) Summarize the relevant material in a table similar to Table 1 in Example 1.
(C) Write the objective function
P
.
(D) Write the problem constraints and nonnegative constraints.
(E) Graph the feasible region. Include graphs of the objective function for
P
=
$
5
,
000
,
P
=
$
10
,
000
,
P
=
$
15
,
000
, and
P
=
$
21
,
600
.
(F) From the graph and constant-profit lines, determine how many boats should be manufactured each month to maximize the profit. What is the maximum profit?
enter | Infinite Camp
ilc 8.3 End-of-Unit Assessment, Op x
Pride is the Devil - Google Drive x +
2 sdphiladelphia.ilclassroom.com/assignments/7FQ5923/lesson?card=806642
3
Problem 2
A successful music app tracked the number of song downloads each day for a month for 4 music artists, represented by lines l, j, m,
and d over the course of a month. Which line represents an artist whose downloads remained constant over the month?
Select the correct choice.
=
Sidebar
Tools
M
45
song downloads
days
d
1
2
3
4
5
6
7
8
00
8
m
l
RA
9
>
КУ
Fullscreen
G
Save & Exit
De
☆
Q/Determine the set of points at which
-
f(z) = 622 2≥ - 4i/z12
i
and
differentiable
analytice
is:
sy = f(x)
+
+
+
+
+
+
+
+
+
X
3
4
5
7
8
9
The function of shown in the figure is continuous on the closed interval [0, 9] and differentiable on the open
interval (0, 9). Which of the following points satisfies conclusions of both the Intermediate Value Theorem
and the Mean Value Theorem for f on the closed interval [0, 9] ?
(A
A
B
B
C
D
Chapter 5 Solutions
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
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