Problem 3 A furniture maker builds and sells wooden benches. The demand function for the benches is given by the function p = 1600x where p is the price per bench and x is the number of benches sold. The furniture maker also knows that the fixed costs for the business are $20,000 and each bench costs $75 to make. Part a) Create a function that represents revenue as a function of the number of benches produced and create a function that represents the cost as a function of the number of benches produced. Make sure to label your input and output variables. Part b) How many benches should be produced and sold in order to maximize revenue? What price should the furniture maker sell them? (Make sure to show your work) Part c) How many benches should be produced and sold in order to maximize profit? What is the maximum profit? (Make sure to show your work)

Problem 3 A furniture maker builds and sells wooden benches. The demand function for the benches is given by the function p = 1600x where p is the price per bench and x is the number of benches sold. The furniture maker also knows that the fixed costs for the business are $20,000 and each bench costs $75 to make. Part a) Create a function that represents revenue as a function of the number of benches produced and create a function that represents the cost as a function of the number of benches produced. Make sure to label your input and output variables. Part b) How many benches should be produced and sold in order to maximize revenue? What price should the furniture maker sell them? (Make sure to show your work) Part c) How many benches should be produced and sold in order to maximize profit? What is the maximum profit? (Make sure to show your work)

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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