1. Consider the problem of a toy company that produces toy planes and toy bo company can sell its planes for S10 and its boats for S8 dollars. A plane requires 3 h and 1 hour to finish while a boat requires 1 hour to make and 2 hours to finish. The knows it will not sell more than 35 planes per week. Further, given the number of company cannot spend more than 160 hours per week finishing toys and 120 ho making toys. The company wishes to maximize the sales/revenue it makes by c much of each toy to produce. A. Develop the linear programming model that maximizes sales/revenue. B. Use online graphing tool to determine the feasible solution. Take a screens C. What are the corner points of the feasible region? D. How many of each type of toy must he produce to maximize sales/revenue maximum sales/revenue?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...
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1. Consider the problem of a toy company that produces toy planes and toy boats. The toy
company can sell its planes for S10 and its boats for S8 dollars. A plane requires 3 hours to make
and 1 hour to finish while a boat requires 1 hour to make and 2 hours to finish. The toy company
knows it will not sell more than 35 planes per week. Further, given the number of workers, the
company cannot spend more than 160 hours per week finishing toys and 120 hours per week
making toys. The company wishes to maximize the sales/revenue it makes by choosing how
much of each toy to produce.
A. Develop the linear programming model that maximizes sales/revenue.
B. Use online graphing tool to determine the feasible solution. Take a screenshot of it.
C. What are the corner points of the feasible region?
D. How many of each type of toy must he produce to maximize sales/revenue? What is the
maximum sales/revenue?
PLANE
ВОАТ
REVENUE
10
8
ΤIΜE ΤΟ ΜΑΚΕ
3
1
120
TIΜE ΤΟ FINISH
1
2
160
Transcribed Image Text:1. Consider the problem of a toy company that produces toy planes and toy boats. The toy company can sell its planes for S10 and its boats for S8 dollars. A plane requires 3 hours to make and 1 hour to finish while a boat requires 1 hour to make and 2 hours to finish. The toy company knows it will not sell more than 35 planes per week. Further, given the number of workers, the company cannot spend more than 160 hours per week finishing toys and 120 hours per week making toys. The company wishes to maximize the sales/revenue it makes by choosing how much of each toy to produce. A. Develop the linear programming model that maximizes sales/revenue. B. Use online graphing tool to determine the feasible solution. Take a screenshot of it. C. What are the corner points of the feasible region? D. How many of each type of toy must he produce to maximize sales/revenue? What is the maximum sales/revenue? PLANE ВОАТ REVENUE 10 8 ΤIΜE ΤΟ ΜΑΚΕ 3 1 120 TIΜE ΤΟ FINISH 1 2 160
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