A factory that makes statues is trying to maximize its income. Their two primary products are the Liberty and David statues. Each Liberty requires 60 hours of machine time to rough cut the shape and 80 hours of craftsman time to finish the details. The David requires 80 hours on the machines and 48 hours with the craftsman's hand. The factory is limited each day to 960 hours of machine time and 960 hours of craftsman time. Both use 56 pounds of stone, and the factory has 784 pounds of stone available per day. If each Liberty brings in a profit of fifty-one dollars, and each David brings in fifty-nine dollars, how many statues of each type should the factory make each day?

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

A factory that makes statues is trying to maximize its income. Their two primary products are the Liberty and David statues. Each Liberty requires 60 hours of machine time to rough cut the shape and 80 hours of craftsman time to finish the details. The David requires 80 hours on the machines and 48 hours with the craftsman's hand. The factory is limited each day to 960 hours of machine time and 960 hours of craftsman time. Both use 56 pounds of stone, and the factory has 784 pounds of stone available per day. If each Liberty brings in a profit of fifty-one dollars, and each David brings in fifty-nine dollars, how many statues of each type should the factory make each day?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 1 images

Blurred answer
Knowledge Booster
Optimization
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,