A machine shop manufactures two types of bolts. The bolts require time on each of the three groups of machines, but the time required on each group differs, as shown in the table. schedules are made up one day at a time. In a day, 150, 720, and 200 minutes are available, respectively, on these machines. Type I bolts sell for 20¢ and type II bolts for 30¢. How type of bolt should be manufactured per day to maximize revenue? What is the maximum revenue? Type 0.1 min Machine 1 Machine 2 0.6 min Machine 3 0.08 min Type II 0.1 min 0.2 min 0.16 min Set up the corresponding linear programming problem. Let x represent type I bolts and y represent type II bolts. Let z represent the revenue in cents. Maximize subject to: z = L s 150 ≤ 720 s 200 x 20 y 20 (Simplify your answer. Use integers or decimals for any numbers in the expression.) Graph the system and identify the feasible region. Choose the correct graph below.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A machine shop manufactures two types of bolts. The bolts require time on each of the three groups of machines, but the time required on each group differs, as shown in the table. Production
schedules are made up one day at a time. In a day, 150, 720, and 200 minutes are available, respectively, on these machines. Type I bolts sell for 20¢ and type II bolts for 30¢. How many of each
type of bolt should be manufactured per day to maximize revenue? What is the maximum revenue?
Type I
Machine 1
0.1 min
Machine 2
0.6 min
Machine 3 0.08 min
Set up the corresponding linear programming problem. Let x represent type I bolts and y represent type II bolts. Let z represent the revenue in cents.
Maximize
subject to:
A.
1500-
0
Type II
0.1 min
0.2 min
0.16 min
x ≥ 0
y ≥ 0
(Simplify your answer. Use integers or decimals for any numbers in the expression.)
Graph the system and identify the feasible region. Choose the correct graph below.
y
1600
Z =
≤ 150
≤ 720
≤ 200
B.
1500-
0-
My
How many of each type of bolt should be manufactured
The shop should manufacture
bolts of type I and
1600
C.
1500-
0
1600
per day to maximize revenue? What is the maximum revenue?
bolts of type II for a maximum revenue of $
D.
1500-
0-
0
1600
Transcribed Image Text:A machine shop manufactures two types of bolts. The bolts require time on each of the three groups of machines, but the time required on each group differs, as shown in the table. Production schedules are made up one day at a time. In a day, 150, 720, and 200 minutes are available, respectively, on these machines. Type I bolts sell for 20¢ and type II bolts for 30¢. How many of each type of bolt should be manufactured per day to maximize revenue? What is the maximum revenue? Type I Machine 1 0.1 min Machine 2 0.6 min Machine 3 0.08 min Set up the corresponding linear programming problem. Let x represent type I bolts and y represent type II bolts. Let z represent the revenue in cents. Maximize subject to: A. 1500- 0 Type II 0.1 min 0.2 min 0.16 min x ≥ 0 y ≥ 0 (Simplify your answer. Use integers or decimals for any numbers in the expression.) Graph the system and identify the feasible region. Choose the correct graph below. y 1600 Z = ≤ 150 ≤ 720 ≤ 200 B. 1500- 0- My How many of each type of bolt should be manufactured The shop should manufacture bolts of type I and 1600 C. 1500- 0 1600 per day to maximize revenue? What is the maximum revenue? bolts of type II for a maximum revenue of $ D. 1500- 0- 0 1600
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