Recall the production model Max   10x s.t      5x < 40            x > 0 Suppose the firm in this example considers a second product that has a unit profit of $5 and requires 2 hours of production time for each unit produced. Use y as the number of units of product 2 produced. 1. Show the mathematical model when both products are considered simultaneously. 2. Identify the controllable and uncontrollable inputs for this model. 3. Draw the flowchart of the input–output process for this model  4. What are the optimal solution values of x and y? 5. Is the model developed in part (a) a deterministic or a stochastic model? Explain

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:Robert L. Sexton
Chapter11: The Firm: Production And Costs
Section: Chapter Questions
Problem 21P
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 Recall the production model
Max   10x

s.t      5x < 40
           x > 0

Suppose the firm in this example considers a second product that has a unit profit of $5 and
requires 2 hours of production time for each unit produced. Use y as the number of units of
product 2 produced.
1. Show the mathematical model when both products are considered simultaneously.
2. Identify the controllable and uncontrollable inputs for this model.
3. Draw the flowchart of the input–output process for this model 
4. What are the optimal solution values of x and y?
5. Is the model developed in part (a) a deterministic or a stochastic model? Explain

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