1. Use the following situation to answer each question. a. Jules is in the business of constructing dog houses. A small dog house requires 8 square feet (ft) of plywood and 6ft of insulation. A large dog house requires 16ft of plywood and 3ft2 of insulation. Jules has available only 48ft2 of plywood and 18ft2 of insolation. Write the constraints on the number of small (x) and large (y) dog houses that he can build with the available supplies and graph the solution set to the system of constraints. 1. Determine the Constraints (there are 4) 2. Graph the Constraints 3. Identify each vertex on the graph
1. Use the following situation to answer each question. a. Jules is in the business of constructing dog houses. A small dog house requires 8 square feet (ft) of plywood and 6ft of insulation. A large dog house requires 16ft of plywood and 3ft2 of insulation. Jules has available only 48ft2 of plywood and 18ft2 of insolation. Write the constraints on the number of small (x) and large (y) dog houses that he can build with the available supplies and graph the solution set to the system of constraints. 1. Determine the Constraints (there are 4) 2. Graph the Constraints 3. Identify each vertex on the graph
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:1. Use the following situation to answer each question.
a. Jules is in the business of constructing dog houses. A small dog house requires 8 square feet (ft²) of
plywood and 6ft² of insulation. A large dog house requires 16ft2 of plywood and 3ft² of insulation.
Jules has available only 48ft2 of plywood and 18ft2 of insolation. Write the constraints on the number of
small (x) and large (y) dog houses that he can build with the available supplies and graph the solution set
to the system of constraints.
1. Determine the Constraints (there are 4)
2. Graph the Constraints
3. Identify each vertex on the graph
4. A small dog house sells for $15 and a large dog house sells for $20, then how many dog houses of
each type should be built to maximize the revenue to satisfy the constraints?
a. Determine the linear function in two variables for the situation above.
b. Using the vertices, determine the how many dog houses of each type should be built to
maximize the revenue to satisfy the constraints?
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