For a certain company, the cost function for producing x items is C(x)=50x+150 and the revenue function for selling x items is R(x)=−0.5(x−120)2+7,200. The maximum capacity of the company is 140 items. 1Assuming that the company sells all that it produces, what is the profit function? 2The company can choose to produce either 70 or 80 items. What is their profit for each case, and which level of production should they choose?
For a certain company, the cost function for producing x items is C(x)=50x+150 and the revenue function for selling x items is R(x)=−0.5(x−120)2+7,200. The maximum capacity of the company is 140 items. 1Assuming that the company sells all that it produces, what is the profit function? 2The company can choose to produce either 70 or 80 items. What is their profit for each case, and which level of production should they choose?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.7: Solving Systems Of Linear And Quadratic Equations
Problem 3GP
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For a certain company, the cost function for producing x items is C(x)=50x+150 and the revenue function for selling x items is R(x)=−0.5(x−120)2+7,200. The maximum capacity of the company is 140 items.
1Assuming that the company sells all that it produces, what is the profit function?
2The company can choose to produce either 70 or 80 items. What is their profit for each case, and which level of production should they choose?
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