LP MODEL AND GRAPHICAL SOLUTION. Formulate the LP model for the following problem. Include a detailed definition of your decision variables and variable z, an explanation of the objective function and each constraint, and summarize your answers by writing the LP model. Then solve the LP model graphically. Use Geogebra (or similar graphing software) to determine the feasible region and show your handwritten solution to determine the optimal solution, together with a conclusion about your final answer 6. In the production of two types of toys, a factory uses 3 machines A, B, and C. The time required to produce the first type of toy is 6, 8, and 12 hours in machines A, B, and C, respectively. The time required to make the second type of toy is 8, 4, and 4 hours in machines A, B, and C, respectively. The maximum available time for the machines A, B, and C are 380, 300, and 404 hours, respectively. The profit on the first type of toy is $5 while that on the second type of toy is $3. Find the number of toys of each type that should be produced to maximize the profit.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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LP MODEL AND GRAPHICAL SOLUTION. Formulate the LP model for the following problem. Include a detailed definition of
your decision variables and variable z, an explanation of the objective function and each constraint, and summarize your
answers by writing the LP model. Then solve the LP model graphically. Use Geogebra (or similar graphing software) to
determine the feasible region and show your handwritten solution to determine the optimal solution, together with a
conclusion about your final answer
In the production of two types of toys, a factory uses 3 machines A, B, and C. The time required to produce the first
type of toy is 6, 8, and 12 hours in machines A, B, and C, respectively. The time required to make the second type of
toy is 8, 4, and 4 hours in machines A, B, and C, respectively. The maximum available time for the machines A, B, and C
are 380, 300, and 404 hours, respectively. The profit on the first type of toy is $5 while that on the second type of toy
is $3. Find the number of toys of each type that should be produced to maximize the profit.
6.
Transcribed Image Text:LP MODEL AND GRAPHICAL SOLUTION. Formulate the LP model for the following problem. Include a detailed definition of your decision variables and variable z, an explanation of the objective function and each constraint, and summarize your answers by writing the LP model. Then solve the LP model graphically. Use Geogebra (or similar graphing software) to determine the feasible region and show your handwritten solution to determine the optimal solution, together with a conclusion about your final answer In the production of two types of toys, a factory uses 3 machines A, B, and C. The time required to produce the first type of toy is 6, 8, and 12 hours in machines A, B, and C, respectively. The time required to make the second type of toy is 8, 4, and 4 hours in machines A, B, and C, respectively. The maximum available time for the machines A, B, and C are 380, 300, and 404 hours, respectively. The profit on the first type of toy is $5 while that on the second type of toy is $3. Find the number of toys of each type that should be produced to maximize the profit. 6.
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