Concept explainers
A furniture manufacturer builds tables. The cost for materials and labor to build a kitchen table is
Let
a. Write an objective function representing the monthly profit for producing and selling
b. The manufacturing process is subject to the following constraints. Write a system of inequalities representing the constraints.
• The number of each type of table cannot be negative.
• Due to labor and equipment restrictions, the company can build at most
• The company can build at most
• The company does not want to exceed a monthly cost of
c. Graph the system of inequalities represented by the constraints.
d. Find the vertices of the feasible region.
e. Test the objective function at each vertex.
f. How many kitchen tables and how many dining room tables should be produced to maximize profit? (Assume that all tables produced will be sold.)
g. What is the maximum profit?
Want to see the full answer?
Check out a sample textbook solutionChapter 8 Solutions
Precalculus
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (2nd Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus and Its Applications (11th Edition)
- If you graph a revenue and cost function, explain how to determine in what regions there is profit.arrow_forwardExplain how to find the input variable in a word problem that uses a linear function.arrow_forwardIf you are performing a break-even analysis for a business and their cost and revenue equations are dependent, explain what this means for the company's profit margins.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,
- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt