Difference between revisions of "022 Exam 1 Sample A, Problem 9"
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(Created page with "<span class="exam">Find the marginal cost to produce one more item if the fixed cost is $400, the variable cost formula is <math style="verticalalign: 5%">x^{2}+30x</math>,...") 
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−  ::<math>C'(9)\,\,=\,\,2(9)+30\,\,=\,\,  +  ::<math>C'(9)\,\,=\,\,2(9)+30\,\,=\,\,48.</math> 
    
−  Hence, the marginal cost at a production quantity of 9 units is $  +  Hence, the marginal cost at a production quantity of 9 units is $48. 
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!Final Answer:  !Final Answer:  
    
−  The marginal cost at a production quantity of 9 units is $  +  The marginal cost at a production quantity of 9 units is $48. 
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[[022_Exam_1_Sample_A'''<u>Return to Sample Exam</u>''']]  [[022_Exam_1_Sample_A'''<u>Return to Sample Exam</u>''']] 
Latest revision as of 12:40, 20 April 2015
Find the marginal cost to produce one more item if the fixed cost is $400, the variable cost formula is , and the current production quantity is 9 units.
Foundations: 

Recall that the total cost, , is the sum of the fixed and variable costs. Also, the marginal cost at units is defined to be the effective cost of the next unit produced, and is precisely . 
Solution: 

Note that 

The expression of the marginal cost is then 

Finally, at a production quantity of 9 units, we have the marginal cost 

Hence, the marginal cost at a production quantity of 9 units is $48. 
Final Answer: 

The marginal cost at a production quantity of 9 units is $48. 