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?
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 4SE: How does the graph of the absolute value function compare to the graph of the quadratic function,...
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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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