dio that makes statues is trying to maximize its income. Their two primary products are the Liberty David statues. Each Liberty requires 18 minutes of machine time to rough cut the shape and 48 minutes aftsman time to finish the details. The David requires 24 minutes on the machines and 24 minutes with raftsman's hand. The studio is limited each day to 144 minutes of machine time and 288 minutes of sman time. Both use 7 kilograms of stone, and the studio has 49 kilograms of stone available per day. ch Liberty brings in a profit of seventy-three dollars, and each David brings in sixty-five dollars, how statues of each type should the studio make each day? craints: EL + 24D < 144 EL + 24D < 288 C + 7D < 49 ctive: ne = 73L + 65D n: 10 11 12 13 14 15 16 17 18 19 20 Diberty

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.CR: Chapter Review
Problem 70E: A company manufactures two fertilizers, x and y. Each 50-pound bag of fertilizer requires three...
icon
Related questions
Question
Solution:
Liberty:
David:
Transcribed Image Text:Solution: Liberty: David:
studio that makes statues is trying to maximize its income. Their two primary products are the Liberty
and David statues. Each Liberty requires 18 minutes of machine time to rough cut the shape and 48 minutes
of craftsman time to finish the details. The David requires 24 minutes on the machines and 24 minutes with
the craftsman's hand. The studio is limited each day to 144 minutes of machine time and 288 minutes of
craftsman time. Both use 7 kilograms of stone, and the studio has 49 kilograms of stone available per day.
If each Liberty brings in a profit of seventy-three dollars, and each David brings in sixty-five dollars, how
many statues of each type should the studio make each day?
Constraints:
18L + 24D < 144
48L + 24D < 288
7L + 7D < 49
Objective:
Income = 73L + 65D
Graph:
20+
19
18
17
16
15
V4
12
10
4
3-
2-
-1
2
3 4 5
7
8
e 10 11 12 13 14 15 16 17 18 19 20
Diberty
David|
Transcribed Image Text:studio that makes statues is trying to maximize its income. Their two primary products are the Liberty and David statues. Each Liberty requires 18 minutes of machine time to rough cut the shape and 48 minutes of craftsman time to finish the details. The David requires 24 minutes on the machines and 24 minutes with the craftsman's hand. The studio is limited each day to 144 minutes of machine time and 288 minutes of craftsman time. Both use 7 kilograms of stone, and the studio has 49 kilograms of stone available per day. If each Liberty brings in a profit of seventy-three dollars, and each David brings in sixty-five dollars, how many statues of each type should the studio make each day? Constraints: 18L + 24D < 144 48L + 24D < 288 7L + 7D < 49 Objective: Income = 73L + 65D Graph: 20+ 19 18 17 16 15 V4 12 10 4 3- 2- -1 2 3 4 5 7 8 e 10 11 12 13 14 15 16 17 18 19 20 Diberty David|
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Inequality
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,