6. A housing contractor designed two styles of houses – bungalows and 2-story houses for 100 available lots. The bungalows style requires P1.5M capital and produces a profit of P200,000 when sold. A 2-story house requires P2M capital and will earm a profit of P400,000. If the available capital on hand is P18OM, how many houses of each type should be built to gain a maximum profit? Show your complete solution.

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
6. A housing contractor designed two styles of houses – bungalows and 2-story houses for 100 available
lots. The bungalows style requires P1.5M capital and produces a profit of P200,000 when sold. A 2-story
house requires P2M capital and will earn a profit of P400,000. If the available capital on hand is P180M,
how many houses of each type should be built to gain a maximum profit? Show your complete solution.
Transcribed Image Text:6. A housing contractor designed two styles of houses – bungalows and 2-story houses for 100 available lots. The bungalows style requires P1.5M capital and produces a profit of P200,000 when sold. A 2-story house requires P2M capital and will earn a profit of P400,000. If the available capital on hand is P180M, how many houses of each type should be built to gain a maximum profit? Show your complete solution.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 4 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,